// both bulbs a and c still have a closed path
// Bulbs A and C are still in closed paths
1 both :
2 bulbs :
3 a :
4 and :
5 c :
6 still :
7 have :
8 a :
9 closed :
10 path :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 <==> 5 // EQUI // 5 //
8 9 10 <==> 7 8 9 // EQUI // 5 //
// terminal 1 and the positive terminal are connected.
// Terminal 1 and the positive terminal are separated by the gap
1 terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 4 5 6 <==> 1 2 3 4 5 6 // EQUI // 5 //
// positive battery is seperated by a gap from terminal 2
// Terminal 2 and the positive terminal are separated by the gap
1 positive :
2 battery :
3 is :
4 seperated :
5 by :
6 a :
7 gap :
8 from :
9 terminal :
10 2 :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
5 6 7 <==> 9 10 11 // EQUI // 5 //
8 9 10 <==> 1 2 3 4 5 6 // EQUI // 5 //
// There is no difference between the two terminals.
// The terminals are in the same state.
1 There :
2 is :
3 no :
4 difference :
5 between :
6 the :
7 two :
8 terminals. :
1 The :
2 terminals :
3 are :
4 in :
5 the :
6 same :
7 state. :
2 <==> 3 // EQUI // 5 //
5 6 7 8 <==> 1 2 // EQUI // 5 //
// the switch has to be contained in the same path as the bulb and the battery
// The switch and the bulb have to be in the same path
1 the :
2 switch :
3 has :
4 to :
5 be :
6 contained :
7 in :
8 the :
9 same :
10 path :
11 as :
12 the :
13 bulb :
14 and :
15 the :
16 battery :
1 The :
2 switch :
3 and :
4 the :
5 bulb :
6 have :
7 to :
8 be :
9 in :
10 the :
11 same :
12 path :
1 2 <==> 1 2 3 4 5 // EQUI // 5 //
3 4 5 6 <==> 6 7 8 // EQUI // 5 //
7 8 9 10 <==> 9 10 11 12 // EQUI // 5 //
// there is a gap in terminal 1
// Terminals 1 and 2 are in the same electrical state
1 there :
2 is :
3 a :
4 gap :
5 in :
6 terminal :
7 1 :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 in :
7 the :
8 same :
9 electrical :
10 state :
1 <==> 5 // EQUI // 5 //
5 6 7 <==> 1 2 3 4 // EQUI // 5 //
// The battery uses the chemical reation to create voltage
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 The :
2 battery :
3 uses :
4 the :
5 chemical :
6 reation :
7 to :
8 create :
9 voltage :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 5 6 <==> 4 5 6 // EQUI // 5 //
// a batter uses a chemical reaction to create voltage
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 a :
2 batter :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 create :
9 voltage :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
4 5 6 <==> 4 5 6 // EQUI // 5 //
// the battery alone is in a closed path
// The battery is contained in a path which does not contain any other components
1 the :
2 battery :
3 alone :
4 is :
5 in :
6 a :
7 closed :
8 path :
1 The :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 path :
8 which :
9 does :
10 not :
11 contain :
12 any :
13 other :
14 components :
1 2 <==> 1 2 // EQUI // 5 //
4 <==> 3 4 // EQUI // 5 //
5 6 7 8 <==> 5 6 7 // EQUI // 5 //
// Because there is a gap in the circuit.
// there is a gap in the circuit
1 Because :
2 there :
3 is :
4 a :
5 gap :
6 in :
7 the :
8 circuit. :
1 there :
2 is :
3 a :
4 gap :
5 in :
6 the :
7 circuit :
4 5 <==> 3 4 // EQUI // 5 //
6 7 8 <==> 5 6 7 // EQUI // 5 //
// Bulbs A and B are not within the same path as bulb C.
// Bulb C is in a separate path
1 Bulbs :
2 A :
3 and :
4 B :
5 are :
6 not :
7 within :
8 the :
9 same :
10 path :
11 as :
12 bulb :
13 C. :
1 Bulb :
2 C :
3 is :
4 in :
5 a :
6 separate :
7 path :
12 13 <==> 1 2 // EQUI // 5 //
// because there was two negative connections
// Terminals 1 and 2 are connected
1 because :
2 there :
3 was :
4 two :
5 negative :
6 connections :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 connected :
2 <==> 5 6 // EQUI // 5 //
4 5 6 <==> 1 2 3 4 // EQUI // 5 //
// bulb a is on a closed path with the battery
// there is a path containing A and a different path containing B and C
1 bulb :
2 a :
3 is :
4 on :
5 a :
6 closed :
7 path :
8 with :
9 the :
10 battery :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A :
7 and :
8 a :
9 different :
10 path :
11 containing :
12 B :
13 and :
14 C :
1 2 <==> 6 // EQUI // 5 //
3 <==> 2 // EQUI // 5 //
4 5 6 7 <==> 3 4 // EQUI // 5 //
// the other terminals are connected to the positive terminal.
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 the :
2 other :
3 terminals :
4 are :
5 connected :
6 to :
7 the :
8 positive :
9 terminal. :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
4 5 <==> 6 7 // EQUI // 5 //
6 7 8 9 <==> 8 9 10 11 12 // EQUI // 5 //
// The bulb takes away the path.
// there is an open path
1 The :
2 bulb :
3 takes :
4 away :
5 the :
6 path. :
1 there :
2 is :
3 an :
4 open :
5 path :
5 6 <==> 1 // EQUI // 5 //
// There is no gap between the positive terminal and terminal 4
// Terminal 4 and the positive terminal are not separated by the gap
1 There :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 positive :
8 terminal :
9 and :
10 terminal :
11 4 :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
1 <==> 10 11 12 // EQUI // 5 //
5 6 7 8 9 10 11 <==> 1 2 3 4 5 6 // EQUI // 5 //
// Bulb a created a gap
// If bulb A burns out, neither B nor C is in a closed path
1 Bulb :
2 a :
3 created :
4 a :
5 gap :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
1 2 <==> 2 3 // EQUI // 5 //
// terminal 6 is connected to the positive terminal of the battery
// Terminal 6 and the positive terminal are connected
1 terminal :
2 6 :
3 is :
4 connected :
5 to :
6 the :
7 positive :
8 terminal :
9 of :
10 the :
11 battery :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// the bulb is in a closed circuit
// the battery is in an open path
1 the :
2 bulb :
3 is :
4 in :
5 a :
6 closed :
7 circuit :
1 the :
2 battery :
3 is :
4 in :
5 an :
6 open :
7 path :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
// The circuit is not closed around the battery.
// The battery in 2 is not in a closed path
1 The :
2 circuit :
3 is :
4 not :
5 closed :
6 around :
7 the :
8 battery. :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 <==> 1 2 // EQUI // 5 //
3 4 5 <==> 5 6 // EQUI // 5 //
// the bulb is not contained in a closed path.
// The battery is contained in a path which does not contain any other components
1 the :
2 bulb :
3 is :
4 not :
5 contained :
6 in :
7 a :
8 closed :
9 path. :
1 The :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 path :
8 which :
9 does :
10 not :
11 contain :
12 any :
13 other :
14 components :
1 2 <==> 1 2 // EQUI // 5 //
3 4 5 <==> 8 // EQUI // 5 //
6 7 8 9 <==> 5 6 7 // EQUI // 5 //
// There is a gap in the circuit.
// there is a gap in a circuit
1 There :
2 is :
3 a :
4 gap :
5 in :
6 the :
7 circuit. :
1 there :
2 is :
3 a :
4 gap :
5 in :
6 a :
7 circuit :
3 4 <==> 3 4 // EQUI // 5 //
5 6 7 <==> 5 6 7 // EQUI // 5 //
// Bulb B and bulb C are still on closed paths with the battery.
// bulbs A and B are still in closed paths with the battery
1 Bulb :
2 B :
3 and :
4 bulb :
5 C :
6 are :
7 still :
8 on :
9 closed :
10 paths :
11 with :
12 the :
13 battery. :
1 bulbs :
2 A :
3 and :
4 B :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 5 // EQUI // 5 //
7 <==> 6 // EQUI // 5 //
8 9 10 <==> 7 8 9 // EQUI // 5 //
11 12 13 <==> 10 11 12 // EQUI // 5 //
// Bulb A has a closed pathway
// Bulb A was still contained in the same closed path with the battery.
1 Bulb :
2 A :
3 has :
4 a :
5 closed :
6 pathway :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 <==> 1 2 // EQUI // 5 //
// bulbs a and c are not in the same closed path as bulb b
// Bulb B is in a separate path
1 bulbs :
2 a :
3 and :
4 c :
5 are :
6 not :
7 in :
8 the :
9 same :
10 closed :
11 path :
12 as :
13 bulb :
14 b :
1 Bulb :
2 B :
3 is :
4 in :
5 a :
6 separate :
7 path :
13 14 <==> 1 2 // EQUI // 5 //
// Only one terminal is involved in the circuit.
// The battery in 2 is not in a closed path
1 Only :
2 one :
3 terminal :
4 is :
5 involved :
6 in :
7 the :
8 circuit. :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
4 5 <==> 7 8 9 10 // EQUI // 5 //
6 7 8 <==> 1 2 // EQUI // 5 //
// there was closed paths between the battery
// Bulb A was still contained in the same closed path with the battery.
1 there :
2 was :
3 closed :
4 paths :
5 between :
6 the :
7 battery :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 <==> 5 // EQUI // 5 //
2 <==> 3 // EQUI // 5 //
3 4 <==> 6 7 8 9 10 // EQUI // 5 //
5 6 7 <==> 11 12 13 // EQUI // 5 //
// the gap separates the positive battery terminal from terminal 2
// Terminal 2 and the positive terminal are separated by the gap
1 the :
2 gap :
3 separates :
4 the :
5 positive :
6 battery :
7 terminal :
8 from :
9 terminal :
10 2 :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 9 10 11 // EQUI // 5 //
3 <==> 7 8 // EQUI // 5 //
4 5 6 7 8 9 10 <==> 1 2 3 4 5 6 // EQUI // 5 //
// bulb a, bulb b, and bulb c are contained in differentclosed paths.
// A and C are in different paths with the battery
1 bulb :
2 a, :
3 bulb :
4 b, :
5 and :
6 bulb :
7 c :
8 are :
9 contained :
10 in :
11 differentclosed :
12 paths. :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
8 with :
9 the :
10 battery :
1 2 3 4 5 6 7 <==> 1 2 3 // EQUI // 5 //
8 9 <==> 4 // EQUI // 5 //
// If any bulb is out, it affects the whole system and everything is blocked from the battery.
// each bulb is in its own path
1 If :
2 any :
3 bulb :
4 is :
5 out, :
6 it :
7 affects :
8 the :
9 whole :
10 system :
11 and :
12 everything :
13 is :
14 blocked :
15 from :
16 the :
17 battery. :
1 each :
2 bulb :
3 is :
4 in :
5 its :
6 own :
7 path :
2 3 <==> 1 2 // EQUI // 5 //
// it is not in the same path.
// Bulb A is still in a closed path with the battery
1 it :
2 is :
3 not :
4 in :
5 the :
6 same :
7 path. :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
4 5 6 7 <==> 5 6 7 8 // EQUI // 5 //
// There will be a gap in the path
// If bulb A burns out, neither B nor C is in a closed path
1 There :
2 will :
3 be :
4 a :
5 gap :
6 in :
7 the :
8 path :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
2 3 <==> 1 // EQUI // 5 //
4 5 6 7 8 <==> 11 12 13 14 // EQUI // 5 //
// Bulb B and C are still contained in a path with the battery
// bulbs B and C are still in closed paths with the battery
1 Bulb :
2 B :
3 and :
4 C :
5 are :
6 still :
7 contained :
8 in :
9 a :
10 path :
11 with :
12 the :
13 battery :
1 bulbs :
2 B :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
5 <==> 5 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
11 12 13 <==> 10 11 12 // EQUI // 5 //
// bulbs a and c are still contained in a closed path with the battery.
// Bulbs A and C are still in closed paths with the battery
1 bulbs :
2 a :
3 and :
4 c :
5 are :
6 still :
7 contained :
8 in :
9 a :
10 closed :
11 path :
12 with :
13 the :
14 battery. :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
5 <==> 5 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
8 9 10 11 <==> 7 8 9 // EQUI // 5 //
12 13 14 <==> 10 11 12 // EQUI // 5 //
// Terminal one is not connected to the positive battery terminal
// Terminal 1 and the positive terminal are not connected
1 Terminal :
2 one :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 positive :
9 battery :
10 terminal :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 5 <==> 7 8 9 // EQUI // 5 //
// bulb A and switch Z are in a closed path
// Bulb A is still contained in a closed path with the battery and switch Z.
1 bulb :
2 A :
3 and :
4 switch :
5 Z :
6 are :
7 in :
8 a :
9 closed :
10 path :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 Z. :
1 2 3 4 5 <==> 1 2 // EQUI // 5 //
6 <==> 3 // EQUI // 5 //
7 8 9 10 <==> 6 7 8 9 // EQUI // 5 //
// Terminal 5 is connected to the postitive battery terminal
// Terminal 5 and the positive terminal are connected
1 Terminal :
2 5 :
3 is :
4 connected :
5 to :
6 the :
7 postitive :
8 battery :
9 terminal :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// Terminal 6 is connected to the positive battery terminal
// Terminal 6 and the positive terminal are connected
1 Terminal :
2 6 :
3 is :
4 connected :
5 to :
6 the :
7 positive :
8 battery :
9 terminal :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// the red x means that the circuit is not safe.
// there is a short circuit
1 the :
2 red :
3 x :
4 means :
5 that :
6 the :
7 circuit :
8 is :
9 not :
10 safe. :
1 there :
2 is :
3 a :
4 short :
5 circuit :
6 7 <==> 1 // EQUI // 5 //
// both bulbs B and C are in the same path as bulb A
// If bulb A burns out, neither B nor C is in a closed path
1 both :
2 bulbs :
3 B :
4 and :
5 C :
6 are :
7 in :
8 the :
9 same :
10 path :
11 as :
12 bulb :
13 A :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
2 3 4 5 <==> 6 7 8 9 // EQUI // 5 //
12 13 <==> 2 3 // EQUI // 5 //
// if the electrical state is non-zero you can find the gap in the circuit
// A non-zero voltage means that there is a gap
1 if :
2 the :
3 electrical :
4 state :
5 is :
6 non-zero :
7 you :
8 can :
9 find :
10 the :
11 gap :
12 in :
13 the :
14 circuit :
1 A :
2 non-zero :
3 voltage :
4 means :
5 that :
6 there :
7 is :
8 a :
9 gap :
10 11 <==> 8 9 // EQUI // 5 //
// The battery is contained in a closed circuit and there is nothing in its pathway
// The battery is contained in a closed path which does not contain any other components
1 The :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 closed :
8 circuit :
9 and :
10 there :
11 is :
12 nothing :
13 in :
14 its :
15 pathway :
1 The :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 closed :
8 path :
9 which :
10 does :
11 not :
12 contain :
13 any :
14 other :
15 components :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
5 6 7 8 <==> 5 6 7 8 // EQUI // 5 //
9 <==> 9 // EQUI // 5 //
10 <==> 13 14 15 // EQUI // 5 //
12 <==> 10 11 12 // EQUI // 5 //
// A terminal is not connected to the positive battery terminal.
// Terminals 1 and 4 are connected
1 A :
2 terminal :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 positive :
9 battery :
10 terminal. :
1 Terminals :
2 1 :
3 and :
4 4 :
5 are :
6 connected :
1 2 <==> 5 6 // EQUI // 5 //
// there is a gap in the circuit
// Terminals 1 and 4 are connected
1 there :
2 is :
3 a :
4 gap :
5 in :
6 the :
7 circuit :
1 Terminals :
2 1 :
3 and :
4 4 :
5 are :
6 connected :
2 <==> 5 6 // EQUI // 5 //
// the positive terminal is not seperated by a gap from terminal 5
// Terminal 5 and the positive terminal are not separated by the gap
1 the :
2 positive :
3 terminal :
4 is :
5 not :
6 seperated :
7 by :
8 a :
9 gap :
10 from :
11 terminal :
12 5 :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
1 2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
7 8 9 <==> 10 11 12 // EQUI // 5 //
// You can find where there is a gap
// Measuring voltage indicates whether two terminals are separated by a gap.
1 You :
2 can :
3 find :
4 where :
5 there :
6 is :
7 a :
8 gap :
1 Measuring :
2 voltage :
3 indicates :
4 whether :
5 two :
6 terminals :
7 are :
8 separated :
9 by :
10 a :
11 gap. :
7 8 <==> 9 10 11 // EQUI // 5 //
// has to do something with a gap
// Terminal 2 and the positive terminal are separated by the gap
1 has :
2 to :
3 do :
4 something :
5 with :
6 a :
7 gap :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
5 6 7 <==> 9 10 11 // EQUI // 5 //
// Because the positive circuit has a voltage of 1.5 volts.
// Terminal 1 and the positive terminal are separated by the gap
1 Because :
2 the :
3 positive :
4 circuit :
5 has :
6 a :
7 voltage :
8 of :
9 1.5 :
10 volts. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
2 3 4 <==> 1 2 3 4 5 6 // EQUI // 5 //
5 <==> 7 8 // EQUI // 5 //
// There is a chemical reaction.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 There :
2 is :
3 a :
4 chemical :
5 reaction. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
3 4 5 <==> 4 5 6 // EQUI // 5 //
// when the switch is the in a closed path with the bulb
// When the switch and the bulb are contained in the same path
1 when :
2 the :
3 switch :
4 is :
5 the :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 bulb :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 <==> 2 3 4 5 6 // EQUI // 5 //
// bulb b and c are in a closed path
// B and C are in the same path
1 bulb :
2 b :
3 and :
4 c :
5 are :
6 in :
7 a :
8 closed :
9 path :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 <==> 4 // EQUI // 5 //
// There is a difference in electrical states.
// the terminals are not connected
1 There :
2 is :
3 a :
4 difference :
5 in :
6 electrical :
7 states. :
1 the :
2 terminals :
3 are :
4 not :
5 connected :
1 <==> 3 4 5 // EQUI // 5 //
// the bulb will not light
// there is no gap between the terminals
1 the :
2 bulb :
3 will :
4 not :
5 light :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
1 2 <==> 5 6 7 // EQUI // 5 //
3 4 5 <==> 1 // EQUI // 5 //
// bulb a and c are contained on the same path with the battery
// A and C are not in the same path with the battery
1 bulb :
2 a :
3 and :
4 c :
5 are :
6 contained :
7 on :
8 the :
9 same :
10 path :
11 with :
12 the :
13 battery :
1 A :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 path :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
11 12 13 <==> 10 11 12 // EQUI // 5 //
// The path does not close
// the battery is in an open path
1 The :
2 path :
3 does :
4 not :
5 close :
1 the :
2 battery :
3 is :
4 in :
5 an :
6 open :
7 path :
1 2 3 4 5 <==> 4 5 6 7 // EQUI // 5 //
// The difference between the electrical states is 1.5 volts
// Terminal 1 and the positive terminal are separated by the gap
1 The :
2 difference :
3 between :
4 the :
5 electrical :
6 states :
7 is :
8 1.5 :
9 volts :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 9 10 11 // EQUI // 5 //
// there is still a closed path
// If bulb A burns out, bulbs B and C are still in a closed path
1 there :
2 is :
3 still :
4 a :
5 closed :
6 path :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 bulbs :
7 B :
8 and :
9 C :
10 are :
11 still :
12 in :
13 a :
14 closed :
15 path :
3 <==> 11 // EQUI // 5 //
4 5 6 <==> 12 13 14 15 // EQUI // 5 //
// a gap causes a lost connection
// A non-zero voltage means that the terminals are not connected.
1 a :
2 gap :
3 causes :
4 a :
5 lost :
6 connection :
1 A :
2 non-zero :
3 voltage :
4 means :
5 that :
6 the :
7 terminals :
8 are :
9 not :
10 connected. :
3 <==> 4 // EQUI // 5 //
// the positive terminal and terminal 6 are connected
// Terminal 6 and the positive terminal are connected
1 the :
2 positive :
3 terminal :
4 and :
5 terminal :
6 6 :
7 are :
8 connected :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 3 4 5 6 <==> 1 2 3 4 5 6 // EQUI // 5 //
7 8 <==> 7 8 // EQUI // 5 //
// the positive terminal is connected to terminal 6
// Terminal 6 and the positive terminal are connected
1 the :
2 positive :
3 terminal :
4 is :
5 connected :
6 to :
7 terminal :
8 6 :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
4 5 <==> 7 8 // EQUI // 5 //
// Because there is no gap at terminal 1
// terminal 1 is connected to the negative battery terminal
1 Because :
2 there :
3 is :
4 no :
5 gap :
6 at :
7 terminal :
8 1 :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
6 7 8 <==> 1 2 // EQUI // 5 //
// terminal 6 is conncted to the positive terminal
// Terminal 6 and the positive terminal are connected
1 terminal :
2 6 :
3 is :
4 conncted :
5 to :
6 the :
7 positive :
8 terminal :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// When the switch is in the same papth as the bulb.
// When the switch and the bulb are contained in the same path
1 When :
2 the :
3 switch :
4 is :
5 in :
6 the :
7 same :
8 papth :
9 as :
10 the :
11 bulb. :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 <==> 2 3 4 5 6 // EQUI // 5 //
// Bulbs A and C are in separate paths.
// A and C are in different paths
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 in :
7 separate :
8 paths. :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 <==> 4 // EQUI // 5 //
6 7 8 <==> 5 6 7 // EQUI // 5 //
// bulb a and bulb b are still in a closed path with the battery.
// bulbs A and B are still in closed paths with the battery
1 bulb :
2 a :
3 and :
4 bulb :
5 b :
6 are :
7 still :
8 in :
9 a :
10 closed :
11 path :
12 with :
13 the :
14 battery. :
1 bulbs :
2 A :
3 and :
4 B :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 5 // EQUI // 5 //
7 <==> 6 // EQUI // 5 //
8 9 10 11 <==> 7 8 9 // EQUI // 5 //
12 13 14 <==> 10 11 12 // EQUI // 5 //
// The positive battery terminal was not separted by a gap from terminal 6
// Terminal 6 and the positive terminal are not separated by the gap
1 The :
2 positive :
3 battery :
4 terminal :
5 was :
6 not :
7 separted :
8 by :
9 a :
10 gap :
11 from :
12 terminal :
13 6 :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
8 9 10 <==> 10 11 12 // EQUI // 5 //
11 12 13 <==> 1 2 3 4 5 6 // EQUI // 5 //
// A GAP WIL BE CREATED
// If bulb A burns out, neither B nor C is in a closed path
1 A :
2 GAP :
3 WIL :
4 BE :
5 CREATED :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
3 4 5 <==> 1 // EQUI // 5 //
// bulb a and c are contained in different paths with the battery
// A and C are in different paths with the battery
1 bulb :
2 a :
3 and :
4 c :
5 are :
6 contained :
7 in :
8 different :
9 paths :
10 with :
11 the :
12 battery :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
8 with :
9 the :
10 battery :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 6 <==> 4 // EQUI // 5 //
7 8 9 <==> 5 6 7 // EQUI // 5 //
10 11 12 <==> 8 9 10 // EQUI // 5 //
// The positive terminal is connected to terminal 4.
// Terminal 4 and the positive terminal are connected
1 The :
2 positive :
3 terminal :
4 is :
5 connected :
6 to :
7 terminal :
8 4. :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
4 5 <==> 7 8 // EQUI // 5 //
// not contained inthe same path
// If C burns out, then A and B are still in a closed path.
1 not :
2 contained :
3 inthe :
4 same :
5 path :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path. :
3 4 5 <==> 11 12 13 14 // EQUI // 5 //
// bulb c does not create a gap in the path for bulb b and a
// If C is damaged, A and B are still in a closed path
1 bulb :
2 c :
3 does :
4 not :
5 create :
6 a :
7 gap :
8 in :
9 the :
10 path :
11 for :
12 bulb :
13 b :
14 and :
15 a :
1 If :
2 C :
3 is :
4 damaged, :
5 A :
6 and :
7 B :
8 are :
9 still :
10 in :
11 a :
12 closed :
13 path :
1 2 <==> 2 // EQUI // 5 //
// becuase the other terminals are connected to the positive battery terminal
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 becuase :
2 the :
3 other :
4 terminals :
5 are :
6 connected :
7 to :
8 the :
9 positive :
10 battery :
11 terminal :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
5 6 <==> 6 7 // EQUI // 5 //
7 8 9 10 11 <==> 8 9 10 11 12 // EQUI // 5 //
// because terminal one and the positive battery terminal are on a closed path
// terminal 1 is connected to the negative battery terminal
1 because :
2 terminal :
3 one :
4 and :
5 the :
6 positive :
7 battery :
8 terminal :
9 are :
10 on :
11 a :
12 closed :
13 path :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
2 3 4 5 6 7 8 <==> 1 2 // EQUI // 5 //
// Battery will always have voltage.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 Battery :
2 will :
3 always :
4 have :
5 voltage. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 <==> 1 2 // EQUI // 5 //
// the terminals are not connected
// Terminal 1 and the positive terminal are not connected
1 the :
2 terminals :
3 are :
4 not :
5 connected :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 5 <==> 7 8 9 // EQUI // 5 //
// the positive battery terminal is connected to terminal 6
// Terminal 6 and the positive terminal are connected
1 the :
2 positive :
3 battery :
4 terminal :
5 is :
6 connected :
7 to :
8 terminal :
9 6 :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
5 6 <==> 7 8 // EQUI // 5 //
7 8 9 <==> 1 2 3 4 5 6 // EQUI // 5 //
// bulb a was on a closed path
// Bulb A is still contained in a closed path with the battery.
1 bulb :
2 a :
3 was :
4 on :
5 a :
6 closed :
7 path :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery. :
1 2 <==> 1 2 // EQUI // 5 //
4 5 6 7 <==> 6 7 8 9 // EQUI // 5 //
// Because terminal 4 is connected to the negative terminal
// Terminal 4 and the positive battery terminal are in the same electrical state
1 Because :
2 terminal :
3 4 :
4 is :
5 connected :
6 to :
7 the :
8 negative :
9 terminal :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 battery :
7 terminal :
8 are :
9 in :
10 the :
11 same :
12 electrical :
13 state :
2 3 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
// bulb c is in its own pathway
// Bulb C is in a separate path
1 bulb :
2 c :
3 is :
4 in :
5 its :
6 own :
7 pathway :
1 Bulb :
2 C :
3 is :
4 in :
5 a :
6 separate :
7 path :
1 2 <==> 1 2 // EQUI // 5 //
// the voltage is nearest the burnt out bulb
// Measuring voltage indicates the place where the electrical state changes due to a damaged bulb.
1 the :
2 voltage :
3 is :
4 nearest :
5 the :
6 burnt :
7 out :
8 bulb :
1 Measuring :
2 voltage :
3 indicates :
4 the :
5 place :
6 where :
7 the :
8 electrical :
9 state :
10 changes :
11 due :
12 to :
13 a :
14 damaged :
15 bulb. :
1 2 <==> 2 // EQUI // 5 //
4 5 6 7 8 <==> 13 14 15 // EQUI // 5 //
// You needed both a battery and a blub with the same path, and the path must be closed
// there is a closed path containing both the bulb and a battery
1 You :
2 needed :
3 both :
4 a :
5 battery :
6 and :
7 a :
8 blub :
9 with :
10 the :
11 same :
12 path, :
13 and :
14 the :
15 path :
16 must :
17 be :
18 closed :
1 there :
2 is :
3 a :
4 closed :
5 path :
6 containing :
7 both :
8 the :
9 bulb :
10 and :
11 a :
12 battery :
3 <==> 7 // EQUI // 5 //
18 <==> 3 4 5 // EQUI // 5 //
// Because the battery runs in a closed circuit.
// there is an incomplete circuit
1 Because :
2 the :
3 battery :
4 runs :
5 in :
6 a :
7 closed :
8 circuit. :
1 there :
2 is :
3 an :
4 incomplete :
5 circuit :
5 6 7 8 <==> 3 4 5 // EQUI // 5 //
// If bulb B is damaged, then the circut is no longer closed.
// there is no closed path
1 If :
2 bulb :
3 B :
4 is :
5 damaged, :
6 then :
7 the :
8 circut :
9 is :
10 no :
11 longer :
12 closed. :
1 there :
2 is :
3 no :
4 closed :
5 path :
9 <==> 2 // EQUI // 5 //
10 11 <==> 3 4 5 // EQUI // 5 //
// terminal 1, terminal 2, and terminal 3 are connected o the negative battery
// Terminals 1, 2 and 3 are connected to the negative battery terminal
1 terminal :
2 1, :
3 terminal :
4 2, :
5 and :
6 terminal :
7 3 :
8 are :
9 connected :
10 o :
11 the :
12 negative :
13 battery :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 connected :
8 to :
9 the :
10 negative :
11 battery :
12 terminal :
1 2 3 4 5 6 7 <==> 1 2 3 4 5 // EQUI // 5 //
8 9 <==> 6 7 // EQUI // 5 //
10 11 12 13 <==> 8 9 10 11 12 // EQUI // 5 //
// "Because it didn""t cause a gap."
// each bulb is in its own path
1 "Because :
2 it :
3 didn""t :
4 cause :
5 a :
6 gap." :
1 each :
2 bulb :
3 is :
4 in :
5 its :
6 own :
7 path :
3 4 <==> 1 2 // EQUI // 5 //
// because there is a gap between terminal 1 and terminal 6.
// There is a gap between terminals 1 and 6
1 because :
2 there :
3 is :
4 a :
5 gap :
6 between :
7 terminal :
8 1 :
9 and :
10 terminal :
11 6. :
1 There :
2 is :
3 a :
4 gap :
5 between :
6 terminals :
7 1 :
8 and :
9 6 :
4 5 <==> 3 4 // EQUI // 5 //
// because bulbs b and c are on a closed path with the battery
// Bulb B and Bulb C were still contained in the same closed path with the battery.
1 because :
2 bulbs :
3 b :
4 and :
5 c :
6 are :
7 on :
8 a :
9 closed :
10 path :
11 with :
12 the :
13 battery :
1 Bulb :
2 B :
3 and :
4 Bulb :
5 C :
6 were :
7 still :
8 contained :
9 in :
10 the :
11 same :
12 closed :
13 path :
14 with :
15 the :
16 battery. :
2 3 4 5 <==> 1 2 3 4 5 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 8 9 10 <==> 9 10 11 12 13 // EQUI // 5 //
11 12 13 <==> 14 15 16 // EQUI // 5 //
// The switch determines whether the path is open or closed.
// If a bulb and a switch are in the same path the switch affects the bulb
1 The :
2 switch :
3 determines :
4 whether :
5 the :
6 path :
7 is :
8 open :
9 or :
10 closed. :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
1 2 <==> 12 13 // EQUI // 5 //
3 <==> 14 // EQUI // 5 //
4 <==> 1 // EQUI // 5 //
// the positive battery terminal is separated by a gap from terminal 4
// Terminal 4 and the positive battery terminal are in the same electrical state
1 the :
2 positive :
3 battery :
4 terminal :
5 is :
6 separated :
7 by :
8 a :
9 gap :
10 from :
11 terminal :
12 4 :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 battery :
7 terminal :
8 are :
9 in :
10 the :
11 same :
12 electrical :
13 state :
1 2 3 4 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
// an incomplete circuit would not effect the the electrical state between the terminals.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 an :
2 incomplete :
3 circuit :
4 would :
5 not :
6 effect :
7 the :
8 the :
9 electrical :
10 state :
11 between :
12 the :
13 terminals. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 3 <==> 1 2 // EQUI // 5 //
11 12 13 <==> 12 13 14 // EQUI // 5 //
// terminals 4, 5, and 6 are connected to the positive battery terminal
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 terminals :
2 4, :
3 5, :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 2 3 4 5 <==> 1 2 3 4 5 // EQUI // 5 //
6 7 <==> 6 7 // EQUI // 5 //
8 9 10 11 12 <==> 8 9 10 11 12 // EQUI // 5 //
// The path it was on
// there is a path containing both Z and C
1 The :
2 path :
3 it :
4 was :
5 on :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 both :
7 Z :
8 and :
9 C :
1 2 <==> 3 4 // EQUI // 5 //
// If the bulb is on the same closed path
// The damaged bulb and the other bulb must be contained in the same path
1 If :
2 the :
3 bulb :
4 is :
5 on :
6 the :
7 same :
8 closed :
9 path :
1 The :
2 damaged :
3 bulb :
4 and :
5 the :
6 other :
7 bulb :
8 must :
9 be :
10 contained :
11 in :
12 the :
13 same :
14 path :
2 3 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
5 6 7 8 9 <==> 11 12 13 14 // EQUI // 5 //
// bulb a was still contained in a closed path with the battery.
// Bulb A was still contained in the same closed path with the battery.
1 bulb :
2 a :
3 was :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery. :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 <==> 4 // EQUI // 5 //
5 <==> 5 // EQUI // 5 //
6 7 8 9 <==> 6 7 8 9 10 // EQUI // 5 //
10 11 12 <==> 11 12 13 // EQUI // 5 //
// If one bulb is removed, the others stop working
// A and C are in the same closed path
1 If :
2 one :
3 bulb :
4 is :
5 removed, :
6 the :
7 others :
8 stop :
9 working :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 closed :
9 path :
2 3 <==> 1 2 3 // EQUI // 5 //
8 <==> 5 6 7 8 9 // EQUI // 5 //
// because all the terminals are connected to other terminals, an open switch disrupts that.
// the open switch creates a gap
1 because :
2 all :
3 the :
4 terminals :
5 are :
6 connected :
7 to :
8 other :
9 terminals, :
10 an :
11 open :
12 switch :
13 disrupts :
14 that. :
1 the :
2 open :
3 switch :
4 creates :
5 a :
6 gap :
10 11 12 <==> 1 2 3 // EQUI // 5 //
// There is a gap between the two bulb terminals
// the terminals are separated by a gap
1 There :
2 is :
3 a :
4 gap :
5 between :
6 the :
7 two :
8 bulb :
9 terminals :
1 the :
2 terminals :
3 are :
4 separated :
5 by :
6 a :
7 gap :
2 3 4 <==> 3 4 5 6 7 // EQUI // 5 //
5 6 7 8 9 <==> 1 2 // EQUI // 5 //
// a short circuit has occured
// there is a short circuit
1 a :
2 short :
3 circuit :
4 has :
5 occured :
1 there :
2 is :
3 a :
4 short :
5 circuit :
1 2 3 <==> 3 4 5 // EQUI // 5 //
// there will be a gap at bulb b, thus affecting the rest of the circuit
// bulb B creates a gap
1 there :
2 will :
3 be :
4 a :
5 gap :
6 at :
7 bulb :
8 b, :
9 thus :
10 affecting :
11 the :
12 rest :
13 of :
14 the :
15 circuit :
1 bulb :
2 B :
3 creates :
4 a :
5 gap :
4 5 <==> 4 5 // EQUI // 5 //
6 7 8 <==> 1 2 // EQUI // 5 //
// terminal 3 and the positie terminal are not connected.
// Terminal 3 and the positive terminal are not connected
1 terminal :
2 3 :
3 and :
4 the :
5 positie :
6 terminal :
7 are :
8 not :
9 connected. :
1 Terminal :
2 3 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 3 4 5 6 <==> 1 2 3 4 5 6 // EQUI // 5 //
7 8 9 <==> 7 8 9 // EQUI // 5 //
// The positive battery terminal was not seperated by a gap from terminal 4.
// Terminal 4 and the positive terminal are not separated by the gap
1 The :
2 positive :
3 battery :
4 terminal :
5 was :
6 not :
7 seperated :
8 by :
9 a :
10 gap :
11 from :
12 terminal :
13 4. :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
8 9 10 <==> 10 11 12 // EQUI // 5 //
11 12 13 <==> 1 2 3 4 5 6 // EQUI // 5 //
// Terminal 1 is connected to the negative terminal.
// terminal 1 is connected to the negative battery terminal
1 Terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 terminal. :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
5 6 7 8 <==> 5 6 7 8 9 // EQUI // 5 //
// A terminal is not connected to the positive battery terminal.
// Terminals 1 and 2 are connected
1 A :
2 terminal :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 positive :
9 battery :
10 terminal. :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 connected :
1 2 <==> 1 2 3 4 // EQUI // 5 //
// the positive terminal and terminal 2 are seperated by a gap
// Terminal 2 and the positive terminal are separated by the gap
1 the :
2 positive :
3 terminal :
4 and :
5 terminal :
6 2 :
7 are :
8 seperated :
9 by :
10 a :
11 gap :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 4 5 6 <==> 1 2 3 4 5 6 // EQUI // 5 //
9 10 11 <==> 9 10 11 // EQUI // 5 //
// there is not gap between the terminals
// terminal 1 is connected to the negative battery terminal
1 there :
2 is :
3 not :
4 gap :
5 between :
6 the :
7 terminals :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
5 6 7 <==> 1 2 // EQUI // 5 //
// there is a gap between teh positive battery terminal and terminal 4.
// Terminal 4 and the positive battery terminal are in the same electrical state
1 there :
2 is :
3 a :
4 gap :
5 between :
6 teh :
7 positive :
8 battery :
9 terminal :
10 and :
11 terminal :
12 4. :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 battery :
7 terminal :
8 are :
9 in :
10 the :
11 same :
12 electrical :
13 state :
1 <==> 8 // EQUI // 5 //
5 6 7 8 9 10 11 12 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
// The positive battery was not connected to terminal one.
// Terminal 1 and the positive terminal are not connected
1 The :
2 positive :
3 battery :
4 was :
5 not :
6 connected :
7 to :
8 terminal :
9 one. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
4 5 6 <==> 7 8 9 // EQUI // 5 //
7 8 9 <==> 1 2 3 4 5 6 // EQUI // 5 //
// Bulbs A and B will still be contained in a closed path to the battery.
// bulbs A and B are still in closed paths with the battery
1 Bulbs :
2 A :
3 and :
4 B :
5 will :
6 still :
7 be :
8 contained :
9 in :
10 a :
11 closed :
12 path :
13 to :
14 the :
15 battery. :
1 bulbs :
2 A :
3 and :
4 B :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 8 <==> 5 // EQUI // 5 //
9 10 11 12 <==> 7 8 9 // EQUI // 5 //
13 14 15 <==> 10 11 12 // EQUI // 5 //
// the two components are seperated.
// Terminal 1 and the positive terminal are separated by the gap
1 the :
2 two :
3 components :
4 are :
5 seperated. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 <==> 7 8 // EQUI // 5 //
// because terminal 1 is directly connected to terminal 4
// Terminals 1 and 4 are connected
1 because :
2 terminal :
3 1 :
4 is :
5 directly :
6 connected :
7 to :
8 terminal :
9 4 :
1 Terminals :
2 1 :
3 and :
4 4 :
5 are :
6 connected :
2 3 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 5 6 // EQUI // 5 //
// the positive battery terminal and terminal 4 are connected
// Terminal 4 and the positive terminal are connected
1 the :
2 positive :
3 battery :
4 terminal :
5 and :
6 terminal :
7 4 :
8 are :
9 connected :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 3 4 5 6 7 <==> 1 2 3 4 5 6 // EQUI // 5 //
8 9 <==> 7 8 // EQUI // 5 //
// Terminal 1 and terminal 2 are on the same side.
// Terminals 1 and 2 are connected
1 Terminal :
2 1 :
3 and :
4 terminal :
5 2 :
6 are :
7 on :
8 the :
9 same :
10 side. :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 connected :
1 2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
6 7 8 9 10 <==> 5 6 // EQUI // 5 //
// not connected to positive battery
// Terminal 2 and the positive terminal are not connected
1 not :
2 connected :
3 to :
4 positive :
5 battery :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 <==> 7 8 9 // EQUI // 5 //
// The battery uses a chemical reaction to maintain the voltage,
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 The :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 the :
10 voltage, :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 5 6 <==> 4 5 6 // EQUI // 5 //
7 8 <==> 7 8 // EQUI // 5 //
// Because the bulb does not have a closed path.
// The bulb is not in the closed path containing the battery
1 Because :
2 the :
3 bulb :
4 does :
5 not :
6 have :
7 a :
8 closed :
9 path. :
1 The :
2 bulb :
3 is :
4 not :
5 in :
6 the :
7 closed :
8 path :
9 containing :
10 the :
11 battery :
2 3 <==> 1 2 // EQUI // 5 //
// there is a difference in electrical states
// the terminals are separated by a gap
1 there :
2 is :
3 a :
4 difference :
5 in :
6 electrical :
7 states :
1 the :
2 terminals :
3 are :
4 separated :
5 by :
6 a :
7 gap :
3 4 <==> 5 6 7 // EQUI // 5 //
// terminal is connected to postive terminal of the battery
// Terminal 6 and the positive terminal are connected
1 terminal :
2 is :
3 connected :
4 to :
5 postive :
6 terminal :
7 of :
8 the :
9 battery :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 <==> 1 2 3 4 5 6 // EQUI // 5 //
2 3 <==> 7 8 // EQUI // 5 //
// Terminal 1 is seperated from the positive terminal
// Terminal 1 and the positive terminal are separated by the gap
1 Terminal :
2 1 :
3 is :
4 seperated :
5 from :
6 the :
7 positive :
8 terminal :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
// Battery is not contained i a closed path.
// The battery in 4 is not in a closed path
1 Battery :
2 is :
3 not :
4 contained :
5 i :
6 a :
7 closed :
8 path. :
1 The :
2 battery :
3 in :
4 4 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 <==> 1 2 // EQUI // 5 //
2 3 4 <==> 5 6 // EQUI // 5 //
// terminal 1 was connected to the positive battery terminal
// Terminal 1 and the positive terminal are separated by the gap
1 terminal :
2 1 :
3 was :
4 connected :
5 to :
6 the :
7 positive :
8 battery :
9 terminal :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
// There are 2 paths in this diagram
// there is a path containing A and a different path containing B and C
1 There :
2 are :
3 2 :
4 paths :
5 in :
6 this :
7 diagram :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A :
7 and :
8 a :
9 different :
10 path :
11 containing :
12 B :
13 and :
14 C :
1 <==> 1 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
// Because the switch was connected to the closed circuit
// there is no path containing both switch Y and bulb A
1 Because :
2 the :
3 switch :
4 was :
5 connected :
6 to :
7 the :
8 closed :
9 circuit :
1 there :
2 is :
3 no :
4 path :
5 containing :
6 both :
7 switch :
8 Y :
9 and :
10 bulb :
11 A :
2 3 <==> 7 8 9 10 11 // EQUI // 5 //
6 7 8 9 <==> 5 // EQUI // 5 //
// damaged bulb creates a gap.
// a damaged bulb creates a gap
1 damaged :
2 bulb :
3 creates :
4 a :
5 gap. :
1 a :
2 damaged :
3 bulb :
4 creates :
5 a :
6 gap :
1 2 <==> 1 2 3 // EQUI // 5 //
3 <==> 4 // EQUI // 5 //
4 5 <==> 5 6 // EQUI // 5 //
// that the battery connection does not work
// there is a short circuit
1 that :
2 the :
3 battery :
4 connection :
5 does :
6 not :
7 work :
1 there :
2 is :
3 a :
4 short :
5 circuit :
2 3 4 5 6 7 <==> 3 4 5 // EQUI // 5 //
// because the terminals are not connected
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 because :
2 the :
3 terminals :
4 are :
5 not :
6 connected :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
2 3 <==> 12 13 14 // EQUI // 5 //
// Terminal 5 is connected to teh positive battery terminal
// Terminal 5 and the positive terminal are connected
1 Terminal :
2 5 :
3 is :
4 connected :
5 to :
6 teh :
7 positive :
8 battery :
9 terminal :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// terminal 1 was connected to the positive terminal
// Terminal 1 and the positive terminal are separated by the gap
1 terminal :
2 1 :
3 was :
4 connected :
5 to :
6 the :
7 positive :
8 terminal :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
// there is a gap between terminal one and two and the positive battery terminal
// Terminals 1 and 2 are in the same electrical state
1 there :
2 is :
3 a :
4 gap :
5 between :
6 terminal :
7 one :
8 and :
9 two :
10 and :
11 the :
12 positive :
13 battery :
14 terminal :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 in :
7 the :
8 same :
9 electrical :
10 state :
1 <==> 5 // EQUI // 5 //
5 6 7 8 9 10 11 12 13 14 <==> 1 2 3 4 // EQUI // 5 //
// bulbs b and c are contained on the same path with the battery
// B and C are in the same path with the battery
1 bulbs :
2 b :
3 and :
4 c :
5 are :
6 contained :
7 on :
8 the :
9 same :
10 path :
11 with :
12 the :
13 battery :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
9 with :
10 the :
11 battery :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 6 <==> 4 // EQUI // 5 //
7 8 9 10 <==> 5 6 7 8 // EQUI // 5 //
11 12 13 <==> 9 10 11 // EQUI // 5 //
// because there is no closed path to the battery
// the path is not closed
1 because :
2 there :
3 is :
4 no :
5 closed :
6 path :
7 to :
8 the :
9 battery :
1 the :
2 path :
3 is :
4 not :
5 closed :
3 4 5 6 <==> 1 2 3 4 5 // EQUI // 5 //
// terminal 1 is not connected to the positive battery terminal
// Terminal 1 and the positive terminal are not connected
1 terminal :
2 1 :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 positive :
9 battery :
10 terminal :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 5 <==> 7 8 9 // EQUI // 5 //
// the battery is not in a closed bath alone
// The battery in 2 is not in a closed path
1 the :
2 battery :
3 is :
4 not :
5 in :
6 a :
7 closed :
8 bath :
9 alone :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 5 6 // EQUI // 5 //
9 <==> 7 8 9 10 // EQUI // 5 //
// terminal 5 is connected to postive terminal of the battery
// Terminal 5 and the positive terminal are connected
1 terminal :
2 5 :
3 is :
4 connected :
5 to :
6 postive :
7 terminal :
8 of :
9 the :
10 battery :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// if x and z are closed then it will create a closed path
// there is a path containing A, C, Z and X
1 if :
2 x :
3 and :
4 z :
5 are :
6 closed :
7 then :
8 it :
9 will :
10 create :
11 a :
12 closed :
13 path :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A, :
7 C, :
8 Z :
9 and :
10 X :
2 3 4 <==> 6 7 8 9 10 // EQUI // 5 //
8 <==> 5 // EQUI // 5 //
11 12 13 <==> 3 4 // EQUI // 5 //
// positive terminal is serperated from terminal 2
// Terminal 2 and the positive terminal are separated by the gap
1 positive :
2 terminal :
3 is :
4 serperated :
5 from :
6 terminal :
7 2 :
1 Terminal :
2 2 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
// the battery is not closed the bulb is.
// The battery in 2 is not in a closed path
1 the :
2 battery :
3 is :
4 not :
5 closed :
6 the :
7 bulb :
8 is. :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 <==> 1 2 // EQUI // 5 //
3 4 5 <==> 5 6 // EQUI // 5 //
// there is not a gap in the connection
// the terminals are not separated by a gap
1 there :
2 is :
3 not :
4 a :
5 gap :
6 in :
7 the :
8 connection :
1 the :
2 terminals :
3 are :
4 not :
5 separated :
6 by :
7 a :
8 gap :
2 3 <==> 3 4 5 // EQUI // 5 //
4 5 <==> 6 7 8 // EQUI // 5 //
// if a bulb is in a closed circuit with a battery and a switch the switch will affect the bulb.
// When the switch and the bulb are contained in the same path
1 if :
2 a :
3 bulb :
4 is :
5 in :
6 a :
7 closed :
8 circuit :
9 with :
10 a :
11 battery :
12 and :
13 a :
14 switch :
15 the :
16 switch :
17 will :
18 affect :
19 the :
20 bulb. :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
2 3 <==> 2 3 4 5 6 // EQUI // 5 //
// bulbs b and c were contained in a closed path with the battery.
// Bulb B and Bulb C were still contained in the same closed path with the battery.
1 bulbs :
2 b :
3 and :
4 c :
5 were :
6 contained :
7 in :
8 a :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 Bulb :
2 B :
3 and :
4 Bulb :
5 C :
6 were :
7 still :
8 contained :
9 in :
10 the :
11 same :
12 closed :
13 path :
14 with :
15 the :
16 battery. :
1 2 3 4 <==> 1 2 3 4 5 // EQUI // 5 //
5 6 <==> 8 // EQUI // 5 //
7 8 9 10 <==> 9 10 11 12 13 // EQUI // 5 //
11 12 13 <==> 14 15 16 // EQUI // 5 //
// Because neither components are in closed paths.
// Circuit 4 has no closed paths
1 Because :
2 neither :
3 components :
4 are :
5 in :
6 closed :
7 paths. :
1 Circuit :
2 4 :
3 has :
4 no :
5 closed :
6 paths :
1 <==> 3 // EQUI // 5 //
5 6 7 <==> 4 5 6 // EQUI // 5 //
// you can see where the gap is
// Measuring voltage indicates the place where the electrical state changes due to a gap.
1 you :
2 can :
3 see :
4 where :
5 the :
6 gap :
7 is :
1 Measuring :
2 voltage :
3 indicates :
4 the :
5 place :
6 where :
7 the :
8 electrical :
9 state :
10 changes :
11 due :
12 to :
13 a :
14 gap. :
5 6 <==> 13 14 // EQUI // 5 //
// if there is a gap in the circuit there the bulb will not light up.
// A non-zero voltage means that the terminals are not connected.
1 if :
2 there :
3 is :
4 a :
5 gap :
6 in :
7 the :
8 circuit :
9 there :
10 the :
11 bulb :
12 will :
13 not :
14 light :
15 up. :
1 A :
2 non-zero :
3 voltage :
4 means :
5 that :
6 the :
7 terminals :
8 are :
9 not :
10 connected. :
9 <==> 5 // EQUI // 5 //
// Bulb A and Bulb B and the battery are in a closed path.
// If C burns out, then A and B are still in a closed path with the battery.
1 Bulb :
2 A :
3 and :
4 Bulb :
5 B :
6 and :
7 the :
8 battery :
9 are :
10 in :
11 a :
12 closed :
13 path. :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery. :
10 11 12 13 <==> 11 12 13 14 // EQUI // 5 //
// That there is a gap
// there is no gap between the terminals
1 That :
2 there :
3 is :
4 a :
5 gap :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
2 <==> 1 // EQUI // 5 //
4 5 <==> 3 4 // EQUI // 5 //
// if the switch and bulb are contained in the same path, the switch will affect the bulb.
// When the switch and the bulb are contained in the same path
1 if :
2 the :
3 switch :
4 and :
5 bulb :
6 are :
7 contained :
8 in :
9 the :
10 same :
11 path, :
12 the :
13 switch :
14 will :
15 affect :
16 the :
17 bulb. :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 4 5 <==> 2 3 4 5 6 // EQUI // 5 //
6 7 <==> 7 8 // EQUI // 5 //
8 9 10 11 <==> 9 10 11 12 // EQUI // 5 //
// Voltage is the difference between a positive and negative end on a battery.
// terminal 1 is connected to the negative battery terminal
1 Voltage :
2 is :
3 the :
4 difference :
5 between :
6 a :
7 positive :
8 and :
9 negative :
10 end :
11 on :
12 a :
13 battery. :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
1 <==> 5 6 7 8 9 // EQUI // 5 //
2 <==> 3 4 // EQUI // 5 //
// the path passes the energy through the switch
// If a bulb and a switch are in the same path the switch affects the bulb
1 the :
2 path :
3 passes :
4 the :
5 energy :
6 through :
7 the :
8 switch :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
6 7 8 <==> 12 13 // EQUI // 5 //
// that the bulb terminal and battery terminal are on the same side of a disconnected circut
// The terminals are in the same state.
1 that :
2 the :
3 bulb :
4 terminal :
5 and :
6 battery :
7 terminal :
8 are :
9 on :
10 the :
11 same :
12 side :
13 of :
14 a :
15 disconnected :
16 circut :
1 The :
2 terminals :
3 are :
4 in :
5 the :
6 same :
7 state. :
2 3 4 5 6 7 <==> 1 2 // EQUI // 5 //
8 <==> 3 // EQUI // 5 //
// Because the battery is not in a closed path.
// The battery in 4 is not in a closed path
1 Because :
2 the :
3 battery :
4 is :
5 not :
6 in :
7 a :
8 closed :
9 path. :
1 The :
2 battery :
3 in :
4 4 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
2 3 <==> 1 2 // EQUI // 5 //
4 5 <==> 5 6 // EQUI // 5 //
6 7 8 9 <==> 7 8 9 10 // EQUI // 5 //
// switch x is in the closed path with bulb a
// Bulb A is still contained in a closed path with the battery and switch X.
1 switch :
2 x :
3 is :
4 in :
5 the :
6 closed :
7 path :
8 with :
9 bulb :
10 a :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 X. :
1 2 <==> 1 2 // EQUI // 5 //
4 5 6 7 <==> 6 7 8 9 // EQUI // 5 //
// There was a closed circuit
// Bulb A is still contained in a closed path with the battery.
1 There :
2 was :
3 a :
4 closed :
5 circuit :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery. :
3 4 5 <==> 6 7 8 9 // EQUI // 5 //
// "because switch z is in bulb c""s closed path"
// there is a path containing both Z and C
1 "because :
2 switch :
3 z :
4 is :
5 in :
6 bulb :
7 c""s :
8 closed :
9 path" :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 both :
7 Z :
8 and :
9 C :
2 3 <==> 7 8 9 // EQUI // 5 //
// Bulb A was still in a closed path
// Bulb A is still contained in a closed path with the battery and switch X.
1 Bulb :
2 A :
3 was :
4 still :
5 in :
6 a :
7 closed :
8 path :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 X. :
1 2 <==> 1 2 // EQUI // 5 //
4 <==> 4 // EQUI // 5 //
5 6 7 8 <==> 6 7 8 9 // EQUI // 5 //
// Because there is a gap due to a damaged bulb.
// Terminals 1, 2 and 3 are separated from the positive battery terminal by a gap
1 Because :
2 there :
3 is :
4 a :
5 gap :
6 due :
7 to :
8 a :
9 damaged :
10 bulb. :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 separated :
8 from :
9 the :
10 positive :
11 battery :
12 terminal :
13 by :
14 a :
15 gap :
4 5 <==> 13 14 15 // EQUI // 5 //
// Bulb A was still in a closed path with the battery
// Bulb A was still contained in the same closed path with the battery.
1 Bulb :
2 A :
3 was :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 <==> 4 // EQUI // 5 //
5 6 7 8 <==> 6 7 8 9 10 // EQUI // 5 //
9 10 11 <==> 11 12 13 // EQUI // 5 //
// The battery and light bulb are not contained in a close path
// The battery in 4 is not in a closed path
1 The :
2 battery :
3 and :
4 light :
5 bulb :
6 are :
7 not :
8 contained :
9 in :
10 a :
11 close :
12 path :
1 The :
2 battery :
3 in :
4 4 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 3 4 5 <==> 1 2 // EQUI // 5 //
6 7 8 <==> 5 6 // EQUI // 5 //
9 10 11 12 <==> 7 8 9 10 // EQUI // 5 //
// and the circut is closed
// A and C are in the same closed path
1 and :
2 the :
3 circut :
4 is :
5 closed :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 closed :
9 path :
4 5 <==> 5 6 7 8 9 // EQUI // 5 //
// "becuase bulb C is on it""s own pathway."
// Bulb C is in a separate path
1 "becuase :
2 bulb :
3 C :
4 is :
5 on :
6 it""s :
7 own :
8 pathway." :
1 Bulb :
2 C :
3 is :
4 in :
5 a :
6 separate :
7 path :
2 3 <==> 1 2 // EQUI // 5 //
// if bulb A burns out then bulbs B and C will no longer be in a closed path.
// If bulb A burns out, neither B nor C is in a closed path
1 if :
2 bulb :
3 A :
4 burns :
5 out :
6 then :
7 bulbs :
8 B :
9 and :
10 C :
11 will :
12 no :
13 longer :
14 be :
15 in :
16 a :
17 closed :
18 path. :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
1 <==> 1 // EQUI // 5 //
2 3 <==> 2 3 // EQUI // 5 //
4 5 <==> 4 5 // EQUI // 5 //
11 12 13 14 <==> 10 // EQUI // 5 //
15 16 17 18 <==> 11 12 13 14 // EQUI // 5 //
// Terminal 1 is not connected to the positive terminal.
// Terminal 1 and the positive terminal are not connected
1 Terminal :
2 1 :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 positive :
9 terminal. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 5 <==> 7 8 9 // EQUI // 5 //
// because the battery is not in a closed circuit
// The battery in 2 is not in a closed path
1 because :
2 the :
3 battery :
4 is :
5 not :
6 in :
7 a :
8 closed :
9 circuit :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
2 3 <==> 1 2 // EQUI // 5 //
4 5 <==> 5 6 // EQUI // 5 //
6 7 8 9 <==> 7 8 9 10 // EQUI // 5 //
// the terminal it is connected to is not working
// there is no gap between the terminals
1 the :
2 terminal :
3 it :
4 is :
5 connected :
6 to :
7 is :
8 not :
9 working :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
1 2 <==> 5 6 7 // EQUI // 5 //
// There must be a closed path and a battery.
// there is a closed path containing both the bulb and a battery
1 There :
2 must :
3 be :
4 a :
5 closed :
6 path :
7 and :
8 a :
9 battery. :
1 there :
2 is :
3 a :
4 closed :
5 path :
6 containing :
7 both :
8 the :
9 bulb :
10 and :
11 a :
12 battery :
1 <==> 1 // EQUI // 5 //
// terminal is connected to terminal 6
// Terminals 1 and 6 are not connected
1 terminal :
2 is :
3 connected :
4 to :
5 terminal :
6 6 :
1 Terminals :
2 1 :
3 and :
4 6 :
5 are :
6 not :
7 connected :
1 <==> 1 2 3 4 // EQUI // 5 //
// because bulb a is in a closed circuit with the battery and switch x
// Bulb A is still contained in a closed path with the battery and switch X.
1 because :
2 bulb :
3 a :
4 is :
5 in :
6 a :
7 closed :
8 circuit :
9 with :
10 the :
11 battery :
12 and :
13 switch :
14 x :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 X. :
2 3 <==> 1 2 // EQUI // 5 //
4 <==> 3 // EQUI // 5 //
5 6 7 8 <==> 6 7 8 9 // EQUI // 5 //
// If the path is not closed, the switch will not affect the bbulb
// If a bulb and a switch are in the same path the switch affects the bulb
1 If :
2 the :
3 path :
4 is :
5 not :
6 closed, :
7 the :
8 switch :
9 will :
10 not :
11 affect :
12 the :
13 bbulb :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
1 <==> 1 // EQUI // 5 //
2 3 <==> 8 9 10 11 // EQUI // 5 //
7 8 <==> 12 13 // EQUI // 5 //
// bulb b and c are on a closed path to the battery
// If bulb A burns out, bulbs B and C are still in a closed path
1 bulb :
2 b :
3 and :
4 c :
5 are :
6 on :
7 a :
8 closed :
9 path :
10 to :
11 the :
12 battery :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 bulbs :
7 B :
8 and :
9 C :
10 are :
11 still :
12 in :
13 a :
14 closed :
15 path :
1 2 3 4 <==> 6 7 8 9 // EQUI // 5 //
5 <==> 10 // EQUI // 5 //
6 7 8 9 <==> 12 13 14 15 // EQUI // 5 //
// since a a gap does not affect the voltage of a battery
// Terminals 1, 2 and 3 are separated from the positive battery terminal by a gap
1 since :
2 a :
3 a :
4 gap :
5 does :
6 not :
7 affect :
8 the :
9 voltage :
10 of :
11 a :
12 battery :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 separated :
8 from :
9 the :
10 positive :
11 battery :
12 terminal :
13 by :
14 a :
15 gap :
2 3 4 <==> 13 14 15 // EQUI // 5 //
8 9 10 11 12 <==> 8 9 10 11 12 // EQUI // 5 //
// Because there is a light bulb
// The battery in 2 is not in a closed path
1 Because :
2 there :
3 is :
4 a :
5 light :
6 bulb :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
4 5 6 <==> 1 2 // EQUI // 5 //
// the bulb will be burned out because the terminals
// The damaged bulb and the other bulb must be contained in the same path
1 the :
2 bulb :
3 will :
4 be :
5 burned :
6 out :
7 because :
8 the :
9 terminals :
1 The :
2 damaged :
3 bulb :
4 and :
5 the :
6 other :
7 bulb :
8 must :
9 be :
10 contained :
11 in :
12 the :
13 same :
14 path :
1 2 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
// Because the positive batter terminal and terminal 6 were connected.
// Terminal 6 and the positive terminal are connected
1 Because :
2 the :
3 positive :
4 batter :
5 terminal :
6 and :
7 terminal :
8 6 :
9 were :
10 connected. :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
2 3 4 5 6 7 8 <==> 1 2 3 4 5 6 // EQUI // 5 //
9 10 <==> 7 8 // EQUI // 5 //
// because the the circuit is complete.
// the path is not closed
1 because :
2 the :
3 the :
4 circuit :
5 is :
6 complete. :
1 the :
2 path :
3 is :
4 not :
5 closed :
2 3 4 <==> 1 2 // EQUI // 5 //
5 6 <==> 3 4 5 // EQUI // 5 //
// Bulbs B and C will still be on closed paths with the battery
// bulbs B and C are still in closed paths with the battery
1 Bulbs :
2 B :
3 and :
4 C :
5 will :
6 still :
7 be :
8 on :
9 closed :
10 paths :
11 with :
12 the :
13 battery :
1 bulbs :
2 B :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 <==> 5 // EQUI // 5 //
8 9 10 <==> 7 8 9 // EQUI // 5 //
11 12 13 <==> 10 11 12 // EQUI // 5 //
// the bulb is contained in an closed circuit
// If a bulb and a switch are in the same path the switch affects the bulb
1 the :
2 bulb :
3 is :
4 contained :
5 in :
6 an :
7 closed :
8 circuit :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
1 2 <==> 15 16 // EQUI // 5 //
// THE ARE ON THE SAME PATH
// A and C are in the same path
1 THE :
2 ARE :
3 ON :
4 THE :
5 SAME :
6 PATH :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
2 <==> 4 // EQUI // 5 //
3 4 5 6 <==> 5 6 7 8 // EQUI // 5 //
// Bulb a and switch Y are not in the same path.
// Switch Y and bulb A are not in the same closed path
1 Bulb :
2 a :
3 and :
4 switch :
5 Y :
6 are :
7 not :
8 in :
9 the :
10 same :
11 path. :
1 Switch :
2 Y :
3 and :
4 bulb :
5 A :
6 are :
7 not :
8 in :
9 the :
10 same :
11 closed :
12 path :
1 2 3 4 5 <==> 1 2 3 4 5 // EQUI // 5 //
6 7 <==> 6 7 // EQUI // 5 //
8 9 10 11 <==> 8 9 10 11 12 // EQUI // 5 //
// A chemical reaction inside the battery makes the electrical states of the positive and negative terminals different at all times.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 A :
2 chemical :
3 reaction :
4 inside :
5 the :
6 battery :
7 makes :
8 the :
9 electrical :
10 states :
11 of :
12 the :
13 positive :
14 and :
15 negative :
16 terminals :
17 different :
18 at :
19 all :
20 times. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 3 <==> 4 5 6 // EQUI // 5 //
4 5 6 <==> 1 2 // EQUI // 5 //
8 9 10 <==> 9 10 11 // EQUI // 5 //
11 12 13 14 15 16 <==> 12 13 14 // EQUI // 5 //
// becasue the terminals 4,5, and 6 are connected to the positive terminal of the battery
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 becasue :
2 the :
3 terminals :
4 4,5, :
5 and :
6 6 :
7 are :
8 connected :
9 to :
10 the :
11 positive :
12 terminal :
13 of :
14 the :
15 battery :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
2 3 4 5 6 <==> 1 2 3 4 5 // EQUI // 5 //
7 8 <==> 6 7 // EQUI // 5 //
9 10 11 12 13 14 15 <==> 8 9 10 11 12 // EQUI // 5 //
// switch Y does not effect bulb A
// Switch Y and bulb A are not in the same closed path
1 switch :
2 Y :
3 does :
4 not :
5 effect :
6 bulb :
7 A :
1 Switch :
2 Y :
3 and :
4 bulb :
5 A :
6 are :
7 not :
8 in :
9 the :
10 same :
11 closed :
12 path :
1 2 <==> 1 2 3 4 5 // EQUI // 5 //
// bulb c creates a gap
// If C burns out, then A and B are still in a closed path with the battery.
1 bulb :
2 c :
3 creates :
4 a :
5 gap :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery. :
1 2 <==> 2 // EQUI // 5 //
// Bulb C and the battery are not contained in a closed pathway
// Bulb C was no longer in a closed path with the battery
1 Bulb :
2 C :
3 and :
4 the :
5 battery :
6 are :
7 not :
8 contained :
9 in :
10 a :
11 closed :
12 pathway :
1 Bulb :
2 C :
3 was :
4 no :
5 longer :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
1 2 3 4 5 <==> 1 2 // EQUI // 5 //
// the two terminals will both be 0
// The terminals are in the same state.
1 the :
2 two :
3 terminals :
4 will :
5 both :
6 be :
7 0 :
1 The :
2 terminals :
3 are :
4 in :
5 the :
6 same :
7 state. :
1 2 3 <==> 1 2 // EQUI // 5 //
// bulb b is not in the same path with bulbs a and c.
// Bulb B is in a separate path
1 bulb :
2 b :
3 is :
4 not :
5 in :
6 the :
7 same :
8 path :
9 with :
10 bulbs :
11 a :
12 and :
13 c. :
1 Bulb :
2 B :
3 is :
4 in :
5 a :
6 separate :
7 path :
1 2 <==> 1 2 // EQUI // 5 //
// The electrical state is interferred with.
// A non-zero voltage means that the terminals are not connected.
1 The :
2 electrical :
3 state :
4 is :
5 interferred :
6 with. :
1 A :
2 non-zero :
3 voltage :
4 means :
5 that :
6 the :
7 terminals :
8 are :
9 not :
10 connected. :
1 2 3 <==> 5 // EQUI // 5 //
// Because the battery and the bulb are not in a closed path.
// The battery in 4 is not in a closed path
1 Because :
2 the :
3 battery :
4 and :
5 the :
6 bulb :
7 are :
8 not :
9 in :
10 a :
11 closed :
12 path. :
1 The :
2 battery :
3 in :
4 4 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
2 3 4 5 6 <==> 1 2 // EQUI // 5 //
7 8 <==> 5 6 // EQUI // 5 //
9 10 11 12 <==> 7 8 9 10 // EQUI // 5 //
// "because by measuring voltage, you find the gap where there""s a difference in electrical states."
// Measuring voltage indicates the place where the electrical state changes due to a gap.
1 "because :
2 by :
3 measuring :
4 voltage, :
5 you :
6 find :
7 the :
8 gap :
9 where :
10 there""s :
11 a :
12 difference :
13 in :
14 electrical :
15 states." :
1 Measuring :
2 voltage :
3 indicates :
4 the :
5 place :
6 where :
7 the :
8 electrical :
9 state :
10 changes :
11 due :
12 to :
13 a :
14 gap. :
2 3 <==> 1 // EQUI // 5 //
4 <==> 2 // EQUI // 5 //
7 8 <==> 11 12 13 14 // EQUI // 5 //
9 <==> 6 // EQUI // 5 //
// again, bulbs a and b will be contained on a closed path
// If C burns out, then A and B are still in a closed path.
1 again, :
2 bulbs :
3 a :
4 and :
5 b :
6 will :
7 be :
8 contained :
9 on :
10 a :
11 closed :
12 path :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path. :
2 3 4 5 <==> 6 7 8 // EQUI // 5 //
9 10 11 12 <==> 11 12 13 14 // EQUI // 5 //
// bulbs b and c are contiained in the the same path with the battery.
// A and C are not in the same path with the battery
1 bulbs :
2 b :
3 and :
4 c :
5 are :
6 contiained :
7 in :
8 the :
9 the :
10 same :
11 path :
12 with :
13 the :
14 battery. :
1 A :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 path :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
12 13 14 <==> 10 11 12 // EQUI // 5 //
// There is a gap in the path.
// Terminals 1 and 2 are in the same electrical state
1 There :
2 is :
3 a :
4 gap :
5 in :
6 the :
7 path. :
1 Terminals :
2 1 :
3 and :
4 2 :
5 are :
6 in :
7 the :
8 same :
9 electrical :
10 state :
1 <==> 1 2 3 4 // EQUI // 5 //
// bulb a is in a closed path with a battery
// Bulb A is still in a closed path with the battery
1 bulb :
2 a :
3 is :
4 in :
5 a :
6 closed :
7 path :
8 with :
9 a :
10 battery :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 5 6 7 <==> 5 6 7 8 // EQUI // 5 //
8 9 10 <==> 9 10 11 // EQUI // 5 //
// Bulb A and bulb C affect each other.
// A and C are in the same closed path
1 Bulb :
2 A :
3 and :
4 bulb :
5 C :
6 affect :
7 each :
8 other. :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 closed :
9 path :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
7 8 <==> 4 // EQUI // 5 //
// switch z is contained in a closed path
// there is a path containing both Z and C
1 switch :
2 z :
3 is :
4 contained :
5 in :
6 a :
7 closed :
8 path :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 both :
7 Z :
8 and :
9 C :
1 2 <==> 7 8 9 // EQUI // 5 //
3 4 <==> 5 // EQUI // 5 //
5 6 7 8 <==> 3 4 // EQUI // 5 //
// the bulb terminal and the negative battery terminal are separated by a gap
// there is no gap between the terminals
1 the :
2 bulb :
3 terminal :
4 and :
5 the :
6 negative :
7 battery :
8 terminal :
9 are :
10 separated :
11 by :
12 a :
13 gap :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
9 10 <==> 5 6 7 // EQUI // 5 //
11 12 13 <==> 3 4 // EQUI // 5 //
// Bulb A and C are still in a closed path with the battery.
// Bulbs A and C are still contained in closed paths with the battery
1 Bulb :
2 A :
3 and :
4 C :
5 are :
6 still :
7 in :
8 a :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 still :
7 contained :
8 in :
9 closed :
10 paths :
11 with :
12 the :
13 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
5 <==> 5 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 8 9 10 <==> 8 9 10 // EQUI // 5 //
11 12 13 <==> 11 12 13 // EQUI // 5 //
// if switch and bulb are contained in the same closed path
// When the switch and the bulb are contained in the same path
1 if :
2 switch :
3 and :
4 bulb :
5 are :
6 contained :
7 in :
8 the :
9 same :
10 closed :
11 path :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 4 <==> 2 3 4 5 6 // EQUI // 5 //
5 6 <==> 7 8 // EQUI // 5 //
7 8 9 10 11 <==> 9 10 11 12 // EQUI // 5 //
// there is a gap between the positive battery connection and the bulb terminal.
// there is no gap between the terminals
1 there :
2 is :
3 a :
4 gap :
5 between :
6 the :
7 positive :
8 battery :
9 connection :
10 and :
11 the :
12 bulb :
13 terminal. :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
1 <==> 1 // EQUI // 5 //
2 <==> 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
// Bulb A is not on the same path that Bulb B and bulb C are.
// there is a path containing A and a different path containing B and C
1 Bulb :
2 A :
3 is :
4 not :
5 on :
6 the :
7 same :
8 path :
9 that :
10 Bulb :
11 B :
12 and :
13 bulb :
14 C :
15 are. :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A :
7 and :
8 a :
9 different :
10 path :
11 containing :
12 B :
13 and :
14 C :
1 2 <==> 6 // EQUI // 5 //
5 6 7 8 <==> 3 4 // EQUI // 5 //
10 11 12 13 14 <==> 12 13 14 // EQUI // 5 //
// it runs on a different current
// If C burns out, then A and B are still in a closed path with the battery.
1 it :
2 runs :
3 on :
4 a :
5 different :
6 current :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery. :
1 <==> 1 // EQUI // 5 //
// terminal 6 is connected to the difference
// Terminal 6 and the positive terminal are connected
1 terminal :
2 6 :
3 is :
4 connected :
5 to :
6 the :
7 difference :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// the batteries terminals are not connected
// Circuit 4 has no closed paths
1 the :
2 batteries :
3 terminals :
4 are :
5 not :
6 connected :
1 Circuit :
2 4 :
3 has :
4 no :
5 closed :
6 paths :
1 2 3 <==> 1 2 // EQUI // 5 //
4 5 6 <==> 3 4 5 6 // EQUI // 5 //
// because if there is a voltage that means there is a gap
// Measuring voltage indicates the place where the electrical state changes due to a gap.
1 because :
2 if :
3 there :
4 is :
5 a :
6 voltage :
7 that :
8 means :
9 there :
10 is :
11 a :
12 gap :
1 Measuring :
2 voltage :
3 indicates :
4 the :
5 place :
6 where :
7 the :
8 electrical :
9 state :
10 changes :
11 due :
12 to :
13 a :
14 gap. :
5 6 <==> 2 // EQUI // 5 //
9 <==> 11 12 // EQUI // 5 //
11 12 <==> 13 14 // EQUI // 5 //
// Find where there are different electrical states
// Measuring voltage indicates the place where the electrical state changes due to a gap.
1 Find :
2 where :
3 there :
4 are :
5 different :
6 electrical :
7 states :
1 Measuring :
2 voltage :
3 indicates :
4 the :
5 place :
6 where :
7 the :
8 electrical :
9 state :
10 changes :
11 due :
12 to :
13 a :
14 gap. :
3 <==> 7 8 9 10 // EQUI // 5 //
// circuit 2 is connected to the battery
// there is no closed path containing the battery
1 circuit :
2 2 :
3 is :
4 connected :
5 to :
6 the :
7 battery :
1 there :
2 is :
3 no :
4 closed :
5 path :
6 containing :
7 the :
8 battery :
5 6 7 <==> 7 8 // EQUI // 5 //
// the gap in the circuit causes the circuit to be an open circuit
// there is a gap in a circuit
1 the :
2 gap :
3 in :
4 the :
5 circuit :
6 causes :
7 the :
8 circuit :
9 to :
10 be :
11 an :
12 open :
13 circuit :
1 there :
2 is :
3 a :
4 gap :
5 in :
6 a :
7 circuit :
1 2 <==> 3 4 // EQUI // 5 //
// there is a gap in the circuit
// Terminal 1 and the positive terminal are separated by the gap
1 there :
2 is :
3 a :
4 gap :
5 in :
6 the :
7 circuit :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
3 4 <==> 9 10 11 // EQUI // 5 //
// the path has to be closed for the bulb to light up
// If a bulb and a switch are in the same path the switch affects the bulb
1 the :
2 path :
3 has :
4 to :
5 be :
6 closed :
7 for :
8 the :
9 bulb :
10 to :
11 light :
12 up :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
7 8 9 <==> 15 16 // EQUI // 5 //
// There is no gap so there is no difference in voltage
// there is no gap between the terminals
1 There :
2 is :
3 no :
4 gap :
5 so :
6 there :
7 is :
8 no :
9 difference :
10 in :
11 voltage :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
1 <==> 1 // EQUI // 5 //
2 <==> 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
// Voltage is the difference between a positive and negative end on the battery.
// Terminal 1 and the positive terminal are separated by the gap
1 Voltage :
2 is :
3 the :
4 difference :
5 between :
6 a :
7 positive :
8 and :
9 negative :
10 end :
11 on :
12 the :
13 battery. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
3 4 <==> 9 10 11 // EQUI // 5 //
// bulb had a short circuit
// there is a complete circuit
1 bulb :
2 had :
3 a :
4 short :
5 circuit :
1 there :
2 is :
3 a :
4 complete :
5 circuit :
2 <==> 1 // EQUI // 5 //
// Bulb A and bulb C are in a closed path with the battery.
// Bulb B and Bulb C were still contained in the same closed path with the battery.
1 Bulb :
2 A :
3 and :
4 bulb :
5 C :
6 are :
7 in :
8 a :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 Bulb :
2 B :
3 and :
4 Bulb :
5 C :
6 were :
7 still :
8 contained :
9 in :
10 the :
11 same :
12 closed :
13 path :
14 with :
15 the :
16 battery. :
1 2 3 4 5 <==> 1 2 3 4 5 // EQUI // 5 //
7 8 9 10 <==> 9 10 11 12 13 // EQUI // 5 //
11 12 13 <==> 14 15 16 // EQUI // 5 //
// Terminals 4, 5, and 6 are only connected to the positive battery terminal.
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 Terminals :
2 4, :
3 5, :
4 and :
5 6 :
6 are :
7 only :
8 connected :
9 to :
10 the :
11 positive :
12 battery :
13 terminal. :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 2 3 4 5 <==> 1 2 3 4 5 // EQUI // 5 //
8 <==> 6 7 // EQUI // 5 //
9 10 11 12 13 <==> 8 9 10 11 12 // EQUI // 5 //
// a terminal is connected to the positive battery terminal
// the terminals are not connected
1 a :
2 terminal :
3 is :
4 connected :
5 to :
6 the :
7 positive :
8 battery :
9 terminal :
1 the :
2 terminals :
3 are :
4 not :
5 connected :
1 2 <==> 1 2 // EQUI // 5 //
// because the terminals are in the same state
// terminal 1 is connected to the negative battery terminal
1 because :
2 the :
3 terminals :
4 are :
5 in :
6 the :
7 same :
8 state :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
2 3 <==> 1 2 // EQUI // 5 //
// "because switch y isn""t included in bulb A""s closed path"
// Switch Y and bulb A are not in the same closed path
1 "because :
2 switch :
3 y :
4 isn""t :
5 included :
6 in :
7 bulb :
8 A""s :
9 closed :
10 path" :
1 Switch :
2 Y :
3 and :
4 bulb :
5 A :
6 are :
7 not :
8 in :
9 the :
10 same :
11 closed :
12 path :
2 3 <==> 1 2 3 4 5 // EQUI // 5 //
9 10 <==> 8 9 10 11 12 // EQUI // 5 //
// the negative battery terminal is seperated by a gap from terminal 6
// terminal 6 is separated by a gap from the negative battery terminal
1 the :
2 negative :
3 battery :
4 terminal :
5 is :
6 seperated :
7 by :
8 a :
9 gap :
10 from :
11 terminal :
12 6 :
1 terminal :
2 6 :
3 is :
4 separated :
5 by :
6 a :
7 gap :
8 from :
9 the :
10 negative :
11 battery :
12 terminal :
1 2 3 4 <==> 8 9 10 11 12 // EQUI // 5 //
7 8 9 <==> 5 6 7 // EQUI // 5 //
10 11 12 <==> 1 2 // EQUI // 5 //
// that the bulb terminal is only connected to one of the battery terminals
// there is no gap between the terminals
1 that :
2 the :
3 bulb :
4 terminal :
5 is :
6 only :
7 connected :
8 to :
9 one :
10 of :
11 the :
12 battery :
13 terminals :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
5 <==> 1 // EQUI // 5 //
8 9 10 11 12 13 <==> 5 6 7 // EQUI // 5 //
// there was a negavtive gap
// terminal 4 is separated by a gap from the negative battery terminal
1 there :
2 was :
3 a :
4 negavtive :
5 gap :
1 terminal :
2 4 :
3 is :
4 separated :
5 by :
6 a :
7 gap :
8 from :
9 the :
10 negative :
11 battery :
12 terminal :
1 <==> 5 6 7 // EQUI // 5 //
// terminal is connected to postive end of battery
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 terminal :
2 is :
3 connected :
4 to :
5 postive :
6 end :
7 of :
8 battery :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 <==> 8 9 10 11 12 // EQUI // 5 //
2 3 <==> 6 7 // EQUI // 5 //
// terminal 1 is connected to the 1.5 volt battery.
// terminal 1 is connected to the negative battery terminal
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 1.5 :
8 volt :
9 battery. :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
// The path must be closed
// If a bulb and a switch are in the same path the switch affects the bulb
1 The :
2 path :
3 must :
4 be :
5 closed :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
1 2 <==> 8 9 10 11 // EQUI // 5 //
3 4 <==> 1 // EQUI // 5 //
// Bulbs B and C are contained on the same path with the battery.
// B and C are in the same path with the battery
1 Bulbs :
2 B :
3 and :
4 C :
5 are :
6 contained :
7 on :
8 the :
9 same :
10 path :
11 with :
12 the :
13 battery. :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
9 with :
10 the :
11 battery :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 6 <==> 4 // EQUI // 5 //
7 8 9 10 <==> 5 6 7 8 // EQUI // 5 //
11 12 13 <==> 9 10 11 // EQUI // 5 //
// a terminal is connected to the positive terminal of the battery
// Terminal 6 and the positive terminal are connected
1 a :
2 terminal :
3 is :
4 connected :
5 to :
6 the :
7 positive :
8 terminal :
9 of :
10 the :
11 battery :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// because a and b are in series and a and c are in parallel
// If C burns out, then A and B are still in a closed path.
1 because :
2 a :
3 and :
4 b :
5 are :
6 in :
7 series :
8 and :
9 a :
10 and :
11 c :
12 are :
13 in :
14 parallel :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path. :
9 10 11 <==> 2 // EQUI // 5 //
12 <==> 9 // EQUI // 5 //
// a terminal is connected to the positive terminal of the battery
// Terminal 5 and the positive terminal are connected
1 a :
2 terminal :
3 is :
4 connected :
5 to :
6 the :
7 positive :
8 terminal :
9 of :
10 the :
11 battery :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 <==> 1 2 3 4 5 6 // EQUI // 5 //
3 4 <==> 7 8 // EQUI // 5 //
// the bulb is not contained in the path
// The bulb is not in the closed path containing the battery
1 the :
2 bulb :
3 is :
4 not :
5 contained :
6 in :
7 the :
8 path :
1 The :
2 bulb :
3 is :
4 not :
5 in :
6 the :
7 closed :
8 path :
9 containing :
10 the :
11 battery :
1 2 <==> 1 2 // EQUI // 5 //
// because positive charge is before gap
// Terminal 1 and the positive terminal are separated by the gap
1 because :
2 positive :
3 charge :
4 is :
5 before :
6 gap :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
6 <==> 9 10 11 // EQUI // 5 //
// Because it is not on the same path
// If bulb A burns out, bulbs B and C are still in a closed path
1 Because :
2 it :
3 is :
4 not :
5 on :
6 the :
7 same :
8 path :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 bulbs :
7 B :
8 and :
9 C :
10 are :
11 still :
12 in :
13 a :
14 closed :
15 path :
1 <==> 1 // EQUI // 5 //
5 6 7 8 <==> 12 13 14 15 // EQUI // 5 //
// Seperate paths connected to the battery
// If bulb A burns out, B and C are no longer in a closed path with the battery
1 Seperate :
2 paths :
3 connected :
4 to :
5 the :
6 battery :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 B :
7 and :
8 C :
9 are :
10 no :
11 longer :
12 in :
13 a :
14 closed :
15 path :
16 with :
17 the :
18 battery :
3 <==> 12 13 14 15 // EQUI // 5 //
4 5 6 <==> 16 17 18 // EQUI // 5 //
// A red X means the battery is in a short circuit.
// there is a short circuit
1 A :
2 red :
3 X :
4 means :
5 the :
6 battery :
7 is :
8 in :
9 a :
10 short :
11 circuit. :
1 there :
2 is :
3 a :
4 short :
5 circuit :
7 <==> 2 // EQUI // 5 //
8 9 10 11 <==> 3 4 5 // EQUI // 5 //
// The battery is not closed in a closed path.
// Circuit 4 has no closed paths
1 The :
2 battery :
3 is :
4 not :
5 closed :
6 in :
7 a :
8 closed :
9 path. :
1 Circuit :
2 4 :
3 has :
4 no :
5 closed :
6 paths :
1 2 <==> 1 2 // EQUI // 5 //
3 4 5 <==> 3 // EQUI // 5 //
// terminal is connected to the battery
// Terminals 1, 2 and 3 are connected to the negative battery terminal
1 terminal :
2 is :
3 connected :
4 to :
5 the :
6 battery :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 connected :
8 to :
9 the :
10 negative :
11 battery :
12 terminal :
2 3 <==> 6 7 // EQUI // 5 //
4 5 6 <==> 8 9 10 11 12 // EQUI // 5 //
// Bulb A and Bulb C are not contained in the same closed path
// A and C are not in the same path
1 Bulb :
2 A :
3 and :
4 Bulb :
5 C :
6 are :
7 not :
8 contained :
9 in :
10 the :
11 same :
12 closed :
13 path :
1 A :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 path :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 7 8 <==> 4 5 // EQUI // 5 //
9 10 11 12 13 <==> 6 7 8 9 // EQUI // 5 //
// bulbs A and C are not on the same closed path.
// A and C are not in the same path
1 bulbs :
2 A :
3 and :
4 C :
5 are :
6 not :
7 on :
8 the :
9 same :
10 closed :
11 path. :
1 A :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 path :
1 2 3 4 <==> 1 2 3 // EQUI // 5 //
5 6 <==> 4 5 // EQUI // 5 //
7 8 9 10 11 <==> 6 7 8 9 // EQUI // 5 //
// bulb, battery, and switch are in closed path
// When the switch and the bulb are contained in the same path
1 bulb, :
2 battery, :
3 and :
4 switch :
5 are :
6 in :
7 closed :
8 path :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 2 3 4 <==> 2 3 4 5 6 // EQUI // 5 //
5 <==> 7 8 // EQUI // 5 //
// the paths of the circuit are no longer complete
// there is an incomplete circuit
1 the :
2 paths :
3 of :
4 the :
5 circuit :
6 are :
7 no :
8 longer :
9 complete :
1 there :
2 is :
3 an :
4 incomplete :
5 circuit :
1 2 3 4 5 <==> 1 // EQUI // 5 //
// there is no closed path in circuit 4.
// Circuit 4 has no closed paths
1 there :
2 is :
3 no :
4 closed :
5 path :
6 in :
7 circuit :
8 4. :
1 Circuit :
2 4 :
3 has :
4 no :
5 closed :
6 paths :
2 <==> 3 // EQUI // 5 //
3 4 5 <==> 4 5 6 // EQUI // 5 //
6 7 8 <==> 1 2 // EQUI // 5 //
// The battery keeps a chemical reaction reaction.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 The :
2 battery :
3 keeps :
4 a :
5 chemical :
6 reaction :
7 reaction. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 7 8 // EQUI // 5 //
4 5 6 7 <==> 4 5 6 // EQUI // 5 //
// There is always a difference in voltage between two battery terminals.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 There :
2 is :
3 always :
4 a :
5 difference :
6 in :
7 voltage :
8 between :
9 two :
10 battery :
11 terminals. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 <==> 7 8 // EQUI // 5 //
4 5 6 7 <==> 9 10 11 // EQUI // 5 //
8 9 10 11 <==> 1 2 // EQUI // 5 //
// terminal 1is connected to terminal 4
// Terminals 1 and 4 are connected
1 terminal :
2 1is :
3 connected :
4 to :
5 terminal :
6 4 :
1 Terminals :
2 1 :
3 and :
4 4 :
5 are :
6 connected :
3 <==> 5 6 // EQUI // 5 //
4 5 6 <==> 1 2 3 4 // EQUI // 5 //
// Bulb A and B will still be in a contained path.
// If C burns out, then A and B are still in a closed path.
1 Bulb :
2 A :
3 and :
4 B :
5 will :
6 still :
7 be :
8 in :
9 a :
10 contained :
11 path. :
1 If :
2 C :
3 burns :
4 out, :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path. :
1 2 3 4 <==> 6 7 8 // EQUI // 5 //
6 <==> 10 // EQUI // 5 //
7 <==> 9 // EQUI // 5 //
// bulb a is in a closed circuit with the battery without the y switch.
// Bulb A is still in a closed path with the battery
1 bulb :
2 a :
3 is :
4 in :
5 a :
6 closed :
7 circuit :
8 with :
9 the :
10 battery :
11 without :
12 the :
13 y :
14 switch. :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
8 9 10 <==> 9 10 11 // EQUI // 5 //
// different paths with the battery
// B and C are in the same path with the battery
1 different :
2 paths :
3 with :
4 the :
5 battery :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
9 with :
10 the :
11 battery :
3 4 5 <==> 9 10 11 // EQUI // 5 //
// "The electrical state at the terminal matches the battery""s electrical state"
// terminal 1 is connected to the negative battery terminal
1 "The :
2 electrical :
3 state :
4 at :
5 the :
6 terminal :
7 matches :
8 the :
9 battery""s :
10 electrical :
11 state" :
1 terminal :
2 1 :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
4 5 6 <==> 1 2 // EQUI // 5 //
// Circuit 2 is not a short circuit because the battery is not in a closed path with itself.
// The battery in 2 is not in a closed path
1 Circuit :
2 2 :
3 is :
4 not :
5 a :
6 short :
7 circuit :
8 because :
9 the :
10 battery :
11 is :
12 not :
13 in :
14 a :
15 closed :
16 path :
17 with :
18 itself. :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 <==> 3 4 // EQUI // 5 //
9 10 <==> 1 2 // EQUI // 5 //
11 12 <==> 5 6 // EQUI // 5 //
13 14 15 16 <==> 7 8 9 10 // EQUI // 5 //
// Bulb A is on a closed circut path
// Bulb A was still contained in the same closed path with the battery.
1 Bulb :
2 A :
3 is :
4 on :
5 a :
6 closed :
7 circut :
8 path :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 <==> 1 2 // EQUI // 5 //
// Bulb B and bulb C are contained in different paths with the battery
// B and C are in the same path with the battery
1 Bulb :
2 B :
3 and :
4 bulb :
5 C :
6 are :
7 contained :
8 in :
9 different :
10 paths :
11 with :
12 the :
13 battery :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
9 with :
10 the :
11 battery :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 7 <==> 4 // EQUI // 5 //
11 12 13 <==> 9 10 11 // EQUI // 5 //
// the battery always has a voltage because there is a positive terminal and there is a negative terminal.
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 the :
2 battery :
3 always :
4 has :
5 a :
6 voltage :
7 because :
8 there :
9 is :
10 a :
11 positive :
12 terminal :
13 and :
14 there :
15 is :
16 a :
17 negative :
18 terminal. :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 <==> 1 2 // EQUI // 5 //
14 <==> 12 13 14 // EQUI // 5 //
// gap between 3 and positive battery
// Terminal 3 and the positive terminal are separated by the gap
1 gap :
2 between :
3 3 :
4 and :
5 positive :
6 battery :
1 Terminal :
2 3 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 <==> 9 10 11 // EQUI // 5 //
// because bulbs A and C are contained in different paths with the battery
// A and C are in different paths with the battery
1 because :
2 bulbs :
3 A :
4 and :
5 C :
6 are :
7 contained :
8 in :
9 different :
10 paths :
11 with :
12 the :
13 battery :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
8 with :
9 the :
10 battery :
2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 7 <==> 4 // EQUI // 5 //
8 9 10 <==> 5 6 7 // EQUI // 5 //
11 12 13 <==> 8 9 10 // EQUI // 5 //
// because of the gap at bulb b
// Terminals 1, 2 and 3 are separated from the positive battery terminal by a gap
1 because :
2 of :
3 the :
4 gap :
5 at :
6 bulb :
7 b :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 separated :
8 from :
9 the :
10 positive :
11 battery :
12 terminal :
13 by :
14 a :
15 gap :
1 2 3 4 <==> 13 14 15 // EQUI // 5 //
// because bulb c was in an open path
// Bulb C was not in a closed path
1 because :
2 bulb :
3 c :
4 was :
5 in :
6 an :
7 open :
8 path :
1 Bulb :
2 C :
3 was :
4 not :
5 in :
6 a :
7 closed :
8 path :
2 3 <==> 1 2 // EQUI // 5 //
// It is not a closed path.
// the path is not closed
1 It :
2 is :
3 not :
4 a :
5 closed :
6 path. :
1 the :
2 path :
3 is :
4 not :
5 closed :
3 <==> 3 4 // EQUI // 5 //
4 5 6 <==> 5 // EQUI // 5 //
// because switch y is not conatined in the closed path of bulb a and the battery.
// Bulb A is still in a closed path with the battery
1 because :
2 switch :
3 y :
4 is :
5 not :
6 conatined :
7 in :
8 the :
9 closed :
10 path :
11 of :
12 bulb :
13 a :
14 and :
15 the :
16 battery. :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
7 8 9 10 <==> 5 6 7 8 // EQUI // 5 //
11 12 13 14 15 16 <==> 1 2 // EQUI // 5 //
// A terminal is not connected to the negative battery terminal.
// Terminals 1 and 6 are not connected
1 A :
2 terminal :
3 is :
4 not :
5 connected :
6 to :
7 the :
8 negative :
9 battery :
10 terminal. :
1 Terminals :
2 1 :
3 and :
4 6 :
5 are :
6 not :
7 connected :
1 2 <==> 1 2 3 4 // EQUI // 5 //
3 4 5 <==> 5 6 7 // EQUI // 5 //
// bulb B and C both still are on a closed path with the battery
// bulbs B and C are still in closed paths with the battery
1 bulb :
2 B :
3 and :
4 C :
5 both :
6 still :
7 are :
8 on :
9 a :
10 closed :
11 path :
12 with :
13 the :
14 battery :
1 bulbs :
2 B :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 6 // EQUI // 5 //
7 <==> 5 // EQUI // 5 //
12 13 14 <==> 10 11 12 // EQUI // 5 //
// terminal 1 and terminal 6 are seperated by a gap
// Terminals 1 and 6 are separated by the gap
1 terminal :
2 1 :
3 and :
4 terminal :
5 6 :
6 are :
7 seperated :
8 by :
9 a :
10 gap :
1 Terminals :
2 1 :
3 and :
4 6 :
5 are :
6 separated :
7 by :
8 the :
9 gap :
1 2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
8 9 10 <==> 7 8 9 // EQUI // 5 //
// because the battery is in a closed path.
// the battery is contained in a closed path in which there is no bulb
1 because :
2 the :
3 battery :
4 is :
5 in :
6 a :
7 closed :
8 path. :
1 the :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 closed :
8 path :
9 in :
10 which :
11 there :
12 is :
13 no :
14 bulb :
2 3 <==> 1 2 // EQUI // 5 //
4 <==> 3 4 // EQUI // 5 //
5 6 7 8 <==> 5 6 7 8 // EQUI // 5 //
// complete path including a battery and a bulb
// there is a closed path containing both the bulb and a battery
1 complete :
2 path :
3 including :
4 a :
5 battery :
6 and :
7 a :
8 bulb :
1 there :
2 is :
3 a :
4 closed :
5 path :
6 containing :
7 both :
8 the :
9 bulb :
10 and :
11 a :
12 battery :
1 2 <==> 3 4 5 // EQUI // 5 //
4 5 6 7 8 <==> 8 9 10 11 12 // EQUI // 5 //
// bulbs b and c creat a gap in the path
// Bulb B is in a separate path
1 bulbs :
2 b :
3 and :
4 c :
5 creat :
6 a :
7 gap :
8 in :
9 the :
10 path :
1 Bulb :
2 B :
3 is :
4 in :
5 a :
6 separate :
7 path :
1 2 3 4 <==> 1 2 // EQUI // 5 //
8 9 10 <==> 4 5 6 7 // EQUI // 5 //
// the positive battery terminal and terminal 5 are connected
// Terminal 5 and the positive terminal are connected
1 the :
2 positive :
3 battery :
4 terminal :
5 and :
6 terminal :
7 5 :
8 are :
9 connected :
1 Terminal :
2 5 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 connected :
1 2 3 4 5 6 7 <==> 1 2 3 4 5 6 // EQUI // 5 //
8 9 <==> 7 8 // EQUI // 5 //
// the the bulb terminal disconnected from the battery terminal
// the terminals are not connected
1 the :
2 the :
3 bulb :
4 terminal :
5 disconnected :
6 from :
7 the :
8 battery :
9 terminal :
1 the :
2 terminals :
3 are :
4 not :
5 connected :
1 2 3 4 <==> 1 2 // EQUI // 5 //
5 <==> 3 4 5 // EQUI // 5 //
// the battery is contained in the circuit and the light bulb is not
// the battery is contained in a path in which there is no bulb
1 the :
2 battery :
3 is :
4 contained :
5 in :
6 the :
7 circuit :
8 and :
9 the :
10 light :
11 bulb :
12 is :
13 not :
1 the :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 path :
8 in :
9 which :
10 there :
11 is :
12 no :
13 bulb :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
12 13 <==> 11 // EQUI // 5 //
// because the two ends of the battery do not connect to one another
// the battery is in an open path
1 because :
2 the :
3 two :
4 ends :
5 of :
6 the :
7 battery :
8 do :
9 not :
10 connect :
11 to :
12 one :
13 another :
1 the :
2 battery :
3 is :
4 in :
5 an :
6 open :
7 path :
5 6 7 <==> 1 2 // EQUI // 5 //
// When a switch is open the circuit is no longer complete
// there is an incomplete circuit
1 When :
2 a :
3 switch :
4 is :
5 open :
6 the :
7 circuit :
8 is :
9 no :
10 longer :
11 complete :
1 there :
2 is :
3 an :
4 incomplete :
5 circuit :
2 3 <==> 1 // EQUI // 5 //
4 <==> 2 // EQUI // 5 //
6 7 8 9 10 11 <==> 3 4 5 // EQUI // 5 //
// if both bulbs are contained within a closed path
// The damaged bulb and the other bulb must be contained in the same path
1 if :
2 both :
3 bulbs :
4 are :
5 contained :
6 within :
7 a :
8 closed :
9 path :
1 The :
2 damaged :
3 bulb :
4 and :
5 the :
6 other :
7 bulb :
8 must :
9 be :
10 contained :
11 in :
12 the :
13 same :
14 path :
2 3 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
4 5 <==> 8 9 10 // EQUI // 5 //
6 7 8 9 <==> 11 12 13 14 // EQUI // 5 //
// The bulb is in a closed circuit and the battery exists in that circuit
// The battery in 2 is not in a closed path
1 The :
2 bulb :
3 is :
4 in :
5 a :
6 closed :
7 circuit :
8 and :
9 the :
10 battery :
11 exists :
12 in :
13 that :
14 circuit :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
9 10 <==> 1 2 // EQUI // 5 //
// the closed path is connected to the light bulb
// Bulb A was still contained in the same closed path with the battery.
1 the :
2 closed :
3 path :
4 is :
5 connected :
6 to :
7 the :
8 light :
9 bulb :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 3 <==> 6 7 8 9 10 // EQUI // 5 //
6 7 8 9 <==> 1 2 // EQUI // 5 //
// the electrical states between the terminals is the same, resulting in 0
// The terminals are in the same state.
1 the :
2 electrical :
3 states :
4 between :
5 the :
6 terminals :
7 is :
8 the :
9 same, :
10 resulting :
11 in :
12 0 :
1 The :
2 terminals :
3 are :
4 in :
5 the :
6 same :
7 state. :
4 5 6 <==> 1 2 // EQUI // 5 //
8 9 <==> 4 5 6 7 // EQUI // 5 //
// bulb b and bulb c are contained within a closed path
// B and C are in the same path with the battery
1 bulb :
2 b :
3 and :
4 bulb :
5 c :
6 are :
7 contained :
8 within :
9 a :
10 closed :
11 path :
1 B :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
9 with :
10 the :
11 battery :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 7 <==> 4 // EQUI // 5 //
// circuit 5 is in a closed path.
// the battery is contained in a closed path in which there is no bulb
1 circuit :
2 5 :
3 is :
4 in :
5 a :
6 closed :
7 path. :
1 the :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 closed :
8 path :
9 in :
10 which :
11 there :
12 is :
13 no :
14 bulb :
4 5 6 7 <==> 5 6 7 8 // EQUI // 5 //
// terminal 6 is connected to terminal 1
// Terminals 1 and 6 are separated by the gap
1 terminal :
2 6 :
3 is :
4 connected :
5 to :
6 terminal :
7 1 :
1 Terminals :
2 1 :
3 and :
4 6 :
5 are :
6 separated :
7 by :
8 the :
9 gap :
1 2 <==> 1 2 3 4 // EQUI // 5 //
3 4 <==> 5 6 // EQUI // 5 //
// If bulb B is damaged there is a gap in the circuit
// there is a gap in a circuit
1 If :
2 bulb :
3 B :
4 is :
5 damaged :
6 there :
7 is :
8 a :
9 gap :
10 in :
11 the :
12 circuit :
1 there :
2 is :
3 a :
4 gap :
5 in :
6 a :
7 circuit :
8 9 <==> 3 4 // EQUI // 5 //
10 11 12 <==> 5 6 7 // EQUI // 5 //
// bulb a is in a complete circuit with the battery when switch z is closed.
// Bulb A is still contained in a closed path with the battery and switch Z.
1 bulb :
2 a :
3 is :
4 in :
5 a :
6 complete :
7 circuit :
8 with :
9 the :
10 battery :
11 when :
12 switch :
13 z :
14 is :
15 closed. :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 Z. :
1 2 <==> 1 2 // EQUI // 5 //
14 15 <==> 6 7 8 9 // EQUI // 5 //
// bulb a is on a closed path with the battery
// Bulb A is still in a closed path with the battery
1 bulb :
2 a :
3 is :
4 on :
5 a :
6 closed :
7 path :
8 with :
9 the :
10 battery :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 3 // EQUI // 5 //
4 5 6 7 <==> 5 6 7 8 // EQUI // 5 //
8 9 10 <==> 9 10 11 // EQUI // 5 //
// because those terminals are connected to the positive terminal of the battery.
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 because :
2 those :
3 terminals :
4 are :
5 connected :
6 to :
7 the :
8 positive :
9 terminal :
10 of :
11 the :
12 battery. :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
4 5 <==> 6 7 // EQUI // 5 //
6 7 8 9 10 11 12 <==> 8 9 10 11 12 // EQUI // 5 //
// Not contained in a closed path
// Bulb C was not in a closed path
1 Not :
2 contained :
3 in :
4 a :
5 closed :
6 path :
1 Bulb :
2 C :
3 was :
4 not :
5 in :
6 a :
7 closed :
8 path :
1 2 <==> 3 4 // EQUI // 5 //
3 4 5 6 <==> 5 6 7 8 // EQUI // 5 //
// terminal connected to positive charge
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 terminal :
2 connected :
3 to :
4 positive :
5 charge :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
2 <==> 6 7 // EQUI // 5 //
3 4 5 <==> 8 9 10 11 12 // EQUI // 5 //
// because voltage measures the difference between two points
// Terminal 1 and the positive terminal are separated by the gap
1 because :
2 voltage :
3 measures :
4 the :
5 difference :
6 between :
7 two :
8 points :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
4 5 6 7 8 <==> 7 8 // EQUI // 5 //
// Bulbs a and c are in separate paths.
// A, B and C are in different paths
1 Bulbs :
2 a :
3 and :
4 c :
5 are :
6 in :
7 separate :
8 paths. :
1 A, :
2 B :
3 and :
4 C :
5 are :
6 in :
7 different :
8 paths :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
5 <==> 5 // EQUI // 5 //
6 7 8 <==> 6 7 8 // EQUI // 5 //
// terminal 6 is connected to postive terminal of battery
// Terminals 1 and 6 are not connected
1 terminal :
2 6 :
3 is :
4 connected :
5 to :
6 postive :
7 terminal :
8 of :
9 battery :
1 Terminals :
2 1 :
3 and :
4 6 :
5 are :
6 not :
7 connected :
1 2 <==> 1 2 3 4 // EQUI // 5 //
3 4 <==> 5 6 7 // EQUI // 5 //
// a terminal is connected to the negative battery terminal
// the terminals are not connected
1 a :
2 terminal :
3 is :
4 connected :
5 to :
6 the :
7 negative :
8 battery :
9 terminal :
1 the :
2 terminals :
3 are :
4 not :
5 connected :
1 2 <==> 1 2 // EQUI // 5 //
// Switch Z is in the same path as bulb A
// Bulb A is still contained in a closed path with the battery and switch Z.
1 Switch :
2 Z :
3 is :
4 in :
5 the :
6 same :
7 path :
8 as :
9 bulb :
10 A :
1 Bulb :
2 A :
3 is :
4 still :
5 contained :
6 in :
7 a :
8 closed :
9 path :
10 with :
11 the :
12 battery :
13 and :
14 switch :
15 Z. :
9 10 <==> 1 2 // EQUI // 5 //
// there will be a gap
// If bulb A burns out, neither B nor C is in a closed path
1 there :
2 will :
3 be :
4 a :
5 gap :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
2 3 <==> 1 // EQUI // 5 //
// because each bulb has its own complete path
// each bulb is in its own path
1 because :
2 each :
3 bulb :
4 has :
5 its :
6 own :
7 complete :
8 path :
1 each :
2 bulb :
3 is :
4 in :
5 its :
6 own :
7 path :
2 3 <==> 1 2 // EQUI // 5 //
5 6 7 8 <==> 4 5 6 7 // EQUI // 5 //
// bulbs b and c have separate paths within the closed circuit
// If bulb A burns out, B and C are no longer in a closed path with the battery
1 bulbs :
2 b :
3 and :
4 c :
5 have :
6 separate :
7 paths :
8 within :
9 the :
10 closed :
11 circuit :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 B :
7 and :
8 C :
9 are :
10 no :
11 longer :
12 in :
13 a :
14 closed :
15 path :
16 with :
17 the :
18 battery :
1 2 3 4 <==> 6 7 8 // EQUI // 5 //
5 <==> 9 // EQUI // 5 //
// A terminal is connected to a bulb.
// Terminals 1, 2 and 3 are separated from the positive battery terminal by a gap
1 A :
2 terminal :
3 is :
4 connected :
5 to :
6 a :
7 bulb. :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 separated :
8 from :
9 the :
10 positive :
11 battery :
12 terminal :
13 by :
14 a :
15 gap :
1 2 <==> 8 9 10 11 12 // EQUI // 5 //
3 4 <==> 13 14 15 // EQUI // 5 //
// the positive battery terminal has no gaps from terminal 4
// Terminal 4 and the positive terminal are not separated by the gap
1 the :
2 positive :
3 battery :
4 terminal :
5 has :
6 no :
7 gaps :
8 from :
9 terminal :
10 4 :
1 Terminal :
2 4 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
5 6 7 <==> 7 8 9 10 11 12 // EQUI // 5 //
8 9 10 <==> 1 2 3 4 5 6 // EQUI // 5 //
// when a switch and bulb are whithin a closed path
// When the switch and the bulb are contained in the same path
1 when :
2 a :
3 switch :
4 and :
5 bulb :
6 are :
7 whithin :
8 a :
9 closed :
10 path :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 4 5 <==> 2 3 4 5 6 // EQUI // 5 //
// because the path is short
// the path is not closed
1 because :
2 the :
3 path :
4 is :
5 short :
1 the :
2 path :
3 is :
4 not :
5 closed :
2 3 <==> 1 2 // EQUI // 5 //
// Bulb A will no longer be completing the circuts.
// If bulb A burns out, neither B nor C is in a closed path
1 Bulb :
2 A :
3 will :
4 no :
5 longer :
6 be :
7 completing :
8 the :
9 circuts. :
1 If :
2 bulb :
3 A :
4 burns :
5 out, :
6 neither :
7 B :
8 nor :
9 C :
10 is :
11 in :
12 a :
13 closed :
14 path :
1 2 <==> 2 3 // EQUI // 5 //
// Bulb C will create a gap in the path
// each bulb is in its own path
1 Bulb :
2 C :
3 will :
4 create :
5 a :
6 gap :
7 in :
8 the :
9 path :
1 each :
2 bulb :
3 is :
4 in :
5 its :
6 own :
7 path :
1 2 <==> 1 2 // EQUI // 5 //
// bulb a was contained on a closed path with the battery
// Bulb A was still contained in the same closed path with the battery.
1 bulb :
2 a :
3 was :
4 contained :
5 on :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
1 Bulb :
2 A :
3 was :
4 still :
5 contained :
6 in :
7 the :
8 same :
9 closed :
10 path :
11 with :
12 the :
13 battery. :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 5 // EQUI // 5 //
5 6 7 8 <==> 6 7 8 9 10 // EQUI // 5 //
9 10 11 <==> 11 12 13 // EQUI // 5 //
// Terminal 1 is connected to terminl 4.
// Terminals 1 and 4 are connected
1 Terminal :
2 1 :
3 is :
4 connected :
5 to :
6 terminl :
7 4. :
1 Terminals :
2 1 :
3 and :
4 4 :
5 are :
6 connected :
1 2 <==> 1 2 3 4 // EQUI // 5 //
3 4 <==> 5 6 // EQUI // 5 //
// Bulbs A and B are not on the same path as Bulb C.
// Bulb C is in a separate path
1 Bulbs :
2 A :
3 and :
4 B :
5 are :
6 not :
7 on :
8 the :
9 same :
10 path :
11 as :
12 Bulb :
13 C. :
1 Bulb :
2 C :
3 is :
4 in :
5 a :
6 separate :
7 path :
12 13 <==> 1 2 // EQUI // 5 //
// Each circuit must have a connection.
// there is a complete circuit
1 Each :
2 circuit :
3 must :
4 have :
5 a :
6 connection. :
1 there :
2 is :
3 a :
4 complete :
5 circuit :
1 2 <==> 3 4 5 // EQUI // 5 //
// A switch contained in a closed path with a bulb and a battery will affect the bulb.
// If a bulb and a switch are in the same path the switch affects the bulb
1 A :
2 switch :
3 contained :
4 in :
5 a :
6 closed :
7 path :
8 with :
9 a :
10 bulb :
11 and :
12 a :
13 battery :
14 will :
15 affect :
16 the :
17 bulb. :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
1 2 <==> 12 13 // EQUI // 5 //
14 15 <==> 14 // EQUI // 5 //
16 17 <==> 15 16 // EQUI // 5 //
// Voltage is the difference between a positive and negative terminal on the battery.
// Terminal 1 and the positive terminal are separated by the gap
1 Voltage :
2 is :
3 the :
4 difference :
5 between :
6 a :
7 positive :
8 and :
9 negative :
10 terminal :
11 on :
12 the :
13 battery. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
3 4 <==> 9 10 11 // EQUI // 5 //
5 6 7 8 9 10 <==> 1 2 3 4 5 6 // EQUI // 5 //
// bulbs b and c were in a closed paty with the battery.
// Bulb B and Bulb C were still contained in the same closed path with the battery.
1 bulbs :
2 b :
3 and :
4 c :
5 were :
6 in :
7 a :
8 closed :
9 paty :
10 with :
11 the :
12 battery. :
1 Bulb :
2 B :
3 and :
4 Bulb :
5 C :
6 were :
7 still :
8 contained :
9 in :
10 the :
11 same :
12 closed :
13 path :
14 with :
15 the :
16 battery. :
1 2 3 4 <==> 1 2 3 4 5 // EQUI // 5 //
5 <==> 6 // EQUI // 5 //
10 11 12 <==> 14 15 16 // EQUI // 5 //
// can complete the path by having z be closed
// there is a path containing A, C, Z and X
1 can :
2 complete :
3 the :
4 path :
5 by :
6 having :
7 z :
8 be :
9 closed :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A, :
7 C, :
8 Z :
9 and :
10 X :
3 4 <==> 3 4 // EQUI // 5 //
7 <==> 6 7 8 9 10 // EQUI // 5 //
// A switch will affect a bulb it the bulb and the switch are in the path as the battery
// When the switch and the bulb are contained in the same path
1 A :
2 switch :
3 will :
4 affect :
5 a :
6 bulb :
7 it :
8 the :
9 bulb :
10 and :
11 the :
12 switch :
13 are :
14 in :
15 the :
16 path :
17 as :
18 the :
19 battery :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
5 6 <==> 2 3 4 5 6 // EQUI // 5 //
// the positive battery terminal is not connected
// There is no gap between terminal 6 and the positive terminal
1 the :
2 positive :
3 battery :
4 terminal :
5 is :
6 not :
7 connected :
1 There :
2 is :
3 no :
4 gap :
5 between :
6 terminal :
7 6 :
8 and :
9 the :
10 positive :
11 terminal :
1 2 3 4 <==> 5 6 7 8 9 10 11 // EQUI // 5 //
5 6 7 <==> 1 // EQUI // 5 //
// Bulb A and bulb C are still on a closed path that contains the battery.
// Bulbs A and C are still in closed paths with the battery
1 Bulb :
2 A :
3 and :
4 bulb :
5 C :
6 are :
7 still :
8 on :
9 a :
10 closed :
11 path :
12 that :
13 contains :
14 the :
15 battery. :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
10 with :
11 the :
12 battery :
1 2 3 4 5 <==> 1 2 3 4 // EQUI // 5 //
6 <==> 5 // EQUI // 5 //
7 <==> 6 // EQUI // 5 //
8 9 10 11 <==> 7 8 9 // EQUI // 5 //
13 14 15 <==> 10 11 12 // EQUI // 5 //
// Bulbs A and C will still be on their own completed circuts.
// Bulbs A and C are in a closed path
1 Bulbs :
2 A :
3 and :
4 C :
5 will :
6 still :
7 be :
8 on :
9 their :
10 own :
11 completed :
12 circuts. :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 in :
7 a :
8 closed :
9 path :
1 2 3 4 <==> 1 2 3 4 // EQUI // 5 //
// The damaged bulb B has left a gap in the path so the charge can not reach it
// Terminals 1, 2 and 3 are separated from the positive battery terminal by a gap
1 The :
2 damaged :
3 bulb :
4 B :
5 has :
6 left :
7 a :
8 gap :
9 in :
10 the :
11 path :
12 so :
13 the :
14 charge :
15 can :
16 not :
17 reach :
18 it :
1 Terminals :
2 1, :
3 2 :
4 and :
5 3 :
6 are :
7 separated :
8 from :
9 the :
10 positive :
11 battery :
12 terminal :
13 by :
14 a :
15 gap :
7 8 <==> 13 14 15 // EQUI // 5 //
// the terminal is separated from the battery terminal
// the terminals are separated by a gap
1 the :
2 terminal :
3 is :
4 separated :
5 from :
6 the :
7 battery :
8 terminal :
1 the :
2 terminals :
3 are :
4 separated :
5 by :
6 a :
7 gap :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
// a terminal is connected to another terminal
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 a :
2 terminal :
3 is :
4 connected :
5 to :
6 another :
7 terminal :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
3 4 <==> 6 7 // EQUI // 5 //
// bulb A is connected to switch Z
// There is no path containing both switch Y and bulb A
1 bulb :
2 A :
3 is :
4 connected :
5 to :
6 switch :
7 Z :
1 There :
2 is :
3 no :
4 path :
5 containing :
6 both :
7 switch :
8 Y :
9 and :
10 bulb :
11 A :
1 2 <==> 7 8 9 10 11 // EQUI // 5 //
// there is a closed path, with switch z, that contains bulb a and the battery
// there is a path containing A, C, Z and the battery
1 there :
2 is :
3 a :
4 closed :
5 path, :
6 with :
7 switch :
8 z, :
9 that :
10 contains :
11 bulb :
12 a :
13 and :
14 the :
15 battery :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 A, :
7 C, :
8 Z :
9 and :
10 the :
11 battery :
1 <==> 1 // EQUI // 5 //
2 <==> 2 // EQUI // 5 //
10 <==> 5 // EQUI // 5 //
11 12 13 14 15 <==> 6 7 8 9 10 11 // EQUI // 5 //
// Terminal 4, terminal 5, and terminal 6 are connected to the positive terminal
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 Terminal :
2 4, :
3 terminal :
4 5, :
5 and :
6 terminal :
7 6 :
8 are :
9 connected :
10 to :
11 the :
12 positive :
13 terminal :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 2 3 4 5 6 7 <==> 1 2 3 4 5 // EQUI // 5 //
8 9 <==> 6 7 // EQUI // 5 //
10 11 12 13 <==> 8 9 10 11 12 // EQUI // 5 //
// Circuit 2 is not a short circuit because the battery is not connected to itself.
// The battery in 2 is not in a closed path
1 Circuit :
2 2 :
3 is :
4 not :
5 a :
6 short :
7 circuit :
8 because :
9 the :
10 battery :
11 is :
12 not :
13 connected :
14 to :
15 itself. :
1 The :
2 battery :
3 in :
4 2 :
5 is :
6 not :
7 in :
8 a :
9 closed :
10 path :
1 2 <==> 3 4 // EQUI // 5 //
3 4 <==> 5 6 // EQUI // 5 //
5 6 7 <==> 7 8 9 10 // EQUI // 5 //
9 10 <==> 1 2 // EQUI // 5 //
// Because terminal 1 is seperated from the positive battery terminal.
// Terminal 1 and the positive terminal are separated by the gap
1 Because :
2 terminal :
3 1 :
4 is :
5 seperated :
6 from :
7 the :
8 positive :
9 battery :
10 terminal. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
// bulb a and bulb c are contained in different paths with the bttery.
// A and C are in different paths with the battery
1 bulb :
2 a :
3 and :
4 bulb :
5 c :
6 are :
7 contained :
8 in :
9 different :
10 paths :
11 with :
12 the :
13 bttery. :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
8 with :
9 the :
10 battery :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 7 <==> 4 // EQUI // 5 //
8 9 10 <==> 5 6 7 // EQUI // 5 //
// because bulb a is in a closed path with the battery.
// Bulb A is still in a closed path with the battery
1 because :
2 bulb :
3 a :
4 is :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery. :
1 Bulb :
2 A :
3 is :
4 still :
5 in :
6 a :
7 closed :
8 path :
9 with :
10 the :
11 battery :
2 3 <==> 1 2 // EQUI // 5 //
4 <==> 3 // EQUI // 5 //
5 6 7 8 <==> 5 6 7 8 // EQUI // 5 //
9 10 11 <==> 9 10 11 // EQUI // 5 //
// the positive terminal is connected to the bulb
// Terminal 1 and the positive terminal are separated by the gap
1 the :
2 positive :
3 terminal :
4 is :
5 connected :
6 to :
7 the :
8 bulb :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
// because bulb a is in a closed path, and bulb c is in a closed path.
// Bulbs A and C are still in closed paths
1 because :
2 bulb :
3 a :
4 is :
5 in :
6 a :
7 closed :
8 path, :
9 and :
10 bulb :
11 c :
12 is :
13 in :
14 a :
15 closed :
16 path. :
1 Bulbs :
2 A :
3 and :
4 C :
5 are :
6 still :
7 in :
8 closed :
9 paths :
2 3 <==> 1 2 3 4 // EQUI // 5 //
12 13 14 15 16 <==> 7 8 9 // EQUI // 5 //
// The positive terminal has 1.5 V
// Terminal 1 and the positive terminal are separated by the gap
1 The :
2 positive :
3 terminal :
4 has :
5 1.5 :
6 V :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 <==> 1 2 3 4 5 6 // EQUI // 5 //
// because of the chemical in the battery
// A battery uses a chemical reaction to maintain different electrical states at the terminals
1 because :
2 of :
3 the :
4 chemical :
5 in :
6 the :
7 battery :
1 A :
2 battery :
3 uses :
4 a :
5 chemical :
6 reaction :
7 to :
8 maintain :
9 different :
10 electrical :
11 states :
12 at :
13 the :
14 terminals :
1 2 3 4 <==> 4 5 6 // EQUI // 5 //
5 6 7 <==> 1 2 // EQUI // 5 //
// Both components need to be in closed paths.
// the bulb and the battery are in a closed path
1 Both :
2 components :
3 need :
4 to :
5 be :
6 in :
7 closed :
8 paths. :
1 the :
2 bulb :
3 and :
4 the :
5 battery :
6 are :
7 in :
8 a :
9 closed :
10 path :
6 7 8 <==> 7 8 9 10 // EQUI // 5 //
// bulb a and bulb c are wired in parallel
// A and C are in different paths
1 bulb :
2 a :
3 and :
4 bulb :
5 c :
6 are :
7 wired :
8 in :
9 parallel :
1 A :
2 and :
3 C :
4 are :
5 in :
6 different :
7 paths :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
8 9 <==> 5 6 7 // EQUI // 5 //
// Bulb terminals 3 and 4
// Terminal 1 and the positive terminal are separated by the gap
1 Bulb :
2 terminals :
3 3 :
4 and :
5 4 :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
1 2 3 4 5 <==> 1 2 3 4 5 6 // EQUI // 5 //
// the other bulb will not light.
// The damaged bulb and the other bulb must be contained in the same path
1 the :
2 other :
3 bulb :
4 will :
5 not :
6 light. :
1 The :
2 damaged :
3 bulb :
4 and :
5 the :
6 other :
7 bulb :
8 must :
9 be :
10 contained :
11 in :
12 the :
13 same :
14 path :
1 2 3 <==> 1 2 3 4 5 6 7 // EQUI // 5 //
// because there was a gap in the terminals
// there is no path containing both switch Y and bulb A
1 because :
2 there :
3 was :
4 a :
5 gap :
6 in :
7 the :
8 terminals :
1 there :
2 is :
3 no :
4 path :
5 containing :
6 both :
7 switch :
8 Y :
9 and :
10 bulb :
11 A :
2 <==> 1 // EQUI // 5 //
4 5 <==> 2 // EQUI // 5 //
// if the switch is open in a path with the battery and bulb.
// When the switch and the bulb are contained in the same path
1 if :
2 the :
3 switch :
4 is :
5 open :
6 in :
7 a :
8 path :
9 with :
10 the :
11 battery :
12 and :
13 bulb. :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 <==> 2 3 4 5 6 // EQUI // 5 //
// 4, 5, and 6 are connected to the positive side
// Terminals 4, 5 and 6 are connected to the positive battery terminal
1 4, :
2 5, :
3 and :
4 6 :
5 are :
6 connected :
7 to :
8 the :
9 positive :
10 side :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 connected :
8 to :
9 the :
10 positive :
11 battery :
12 terminal :
1 2 3 4 <==> 1 2 3 4 5 // EQUI // 5 //
5 6 <==> 6 7 // EQUI // 5 //
7 8 9 10 <==> 8 9 10 11 12 // EQUI // 5 //
// a voltage reading of 0 volts indicates a gap in the circuit.
// there is no gap between the terminals
1 a :
2 voltage :
3 reading :
4 of :
5 0 :
6 volts :
7 indicates :
8 a :
9 gap :
10 in :
11 the :
12 circuit. :
1 there :
2 is :
3 no :
4 gap :
5 between :
6 the :
7 terminals :
8 9 <==> 3 4 // EQUI // 5 //
// 4 5 and 6 are not connected to negative battery terminal
// Terminals 4, 5 and 6 are not connected to the negative battery terminal
1 4 :
2 5 :
3 and :
4 6 :
5 are :
6 not :
7 connected :
8 to :
9 negative :
10 battery :
11 terminal :
1 Terminals :
2 4, :
3 5 :
4 and :
5 6 :
6 are :
7 not :
8 connected :
9 to :
10 the :
11 negative :
12 battery :
13 terminal :
1 2 3 4 <==> 1 2 3 4 5 // EQUI // 5 //
5 6 7 <==> 6 7 8 // EQUI // 5 //
8 9 10 11 <==> 9 10 11 12 13 // EQUI // 5 //
// bulbs a and b are still contained on a closed path with the battery
// If C burns out then A and B are still in a closed path with the battery
1 bulbs :
2 a :
3 and :
4 b :
5 are :
6 still :
7 contained :
8 on :
9 a :
10 closed :
11 path :
12 with :
13 the :
14 battery :
1 If :
2 C :
3 burns :
4 out :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery :
1 2 3 4 <==> 6 7 8 // EQUI // 5 //
5 <==> 9 // EQUI // 5 //
6 <==> 10 // EQUI // 5 //
8 9 10 11 <==> 11 12 13 14 // EQUI // 5 //
12 13 14 <==> 15 16 17 // EQUI // 5 //
// bulbs a, b, and c are all in the same path.
// A and C are in the same path
1 bulbs :
2 a, :
3 b, :
4 and :
5 c :
6 are :
7 all :
8 in :
9 the :
10 same :
11 path. :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 path :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 <==> 4 // EQUI // 5 //
8 9 10 11 <==> 5 6 7 8 // EQUI // 5 //
// a and c are on the same closed path with the battery
// A and C are in the same closed path
1 a :
2 and :
3 c :
4 are :
5 on :
6 the :
7 same :
8 closed :
9 path :
10 with :
11 the :
12 battery :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 closed :
9 path :
1 2 3 <==> 1 2 3 // EQUI // 5 //
4 <==> 4 // EQUI // 5 //
5 6 7 8 9 <==> 5 6 7 8 9 // EQUI // 5 //
// "if the switch is included in the bulb""s closed path, then the switch being open will affect the bulb"
// If a bulb and a switch are in the same path the switch affects the bulb
1 "if :
2 the :
3 switch :
4 is :
5 included :
6 in :
7 the :
8 bulb""s :
9 closed :
10 path, :
11 then :
12 the :
13 switch :
14 being :
15 open :
16 will :
17 affect :
18 the :
19 bulb" :
1 If :
2 a :
3 bulb :
4 and :
5 a :
6 switch :
7 are :
8 in :
9 the :
10 same :
11 path :
12 the :
13 switch :
14 affects :
15 the :
16 bulb :
12 13 <==> 12 13 // EQUI // 5 //
16 17 <==> 14 // EQUI // 5 //
18 19 <==> 15 16 // EQUI // 5 //
// because the outcome of the bulb will not affect each other
// A and C are not in the same path with the battery
1 because :
2 the :
3 outcome :
4 of :
5 the :
6 bulb :
7 will :
8 not :
9 affect :
10 each :
11 other :
1 A :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 path :
10 with :
11 the :
12 battery :
4 5 6 <==> 10 11 12 // EQUI // 5 //
10 11 <==> 6 7 8 9 // EQUI // 5 //
// not seperated by a gap
// Terminal 6 and the positive terminal are not separated by the gap
1 not :
2 seperated :
3 by :
4 a :
5 gap :
1 Terminal :
2 6 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 not :
9 separated :
10 by :
11 the :
12 gap :
3 4 5 <==> 10 11 12 // EQUI // 5 //
// because terminal 1 and the neavtive terminal are seperated.
// Terminal 1 and the positive terminal are separated by the gap
1 because :
2 terminal :
3 1 :
4 and :
5 the :
6 neavtive :
7 terminal :
8 are :
9 seperated. :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
2 3 4 5 6 7 <==> 1 2 3 4 5 6 // EQUI // 5 //
8 9 <==> 7 8 // EQUI // 5 //
// Because their is a gap between A and C now.
// there is an incomplete circuit
1 Because :
2 their :
3 is :
4 a :
5 gap :
6 between :
7 A :
8 and :
9 C :
10 now. :
1 there :
2 is :
3 an :
4 incomplete :
5 circuit :
4 5 <==> 3 4 5 // EQUI // 5 //
// Bulb A and bulb b are still contained in closed paths with the battery
// If C burns out then A and B are still in a closed path with the battery
1 Bulb :
2 A :
3 and :
4 bulb :
5 b :
6 are :
7 still :
8 contained :
9 in :
10 closed :
11 paths :
12 with :
13 the :
14 battery :
1 If :
2 C :
3 burns :
4 out :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery :
1 2 3 4 5 <==> 6 7 8 // EQUI // 5 //
6 <==> 9 // EQUI // 5 //
7 <==> 10 // EQUI // 5 //
9 10 11 <==> 11 12 13 14 // EQUI // 5 //
12 13 14 <==> 15 16 17 // EQUI // 5 //
// B and C are not in the same circuit as A.
// each bulb is in its own path
1 B :
2 and :
3 C :
4 are :
5 not :
6 in :
7 the :
8 same :
9 circuit :
10 as :
11 A. :
1 each :
2 bulb :
3 is :
4 in :
5 its :
6 own :
7 path :
10 <==> 4 5 6 7 // EQUI // 5 //
11 <==> 1 2 // EQUI // 5 //
// there terminals are separated by a gap when the voltage jumps from 0 to 1.5.
// the terminals are separated by a gap
1 there :
2 terminals :
3 are :
4 separated :
5 by :
6 a :
7 gap :
8 when :
9 the :
10 voltage :
11 jumps :
12 from :
13 0 :
14 to :
15 1.5. :
1 the :
2 terminals :
3 are :
4 separated :
5 by :
6 a :
7 gap :
1 2 <==> 1 2 // EQUI // 5 //
3 4 <==> 3 4 // EQUI // 5 //
5 6 7 <==> 5 6 7 // EQUI // 5 //
// bulbs a b and c are on a closed path
// A and C are in the same closed path
1 bulbs :
2 a :
3 b :
4 and :
5 c :
6 are :
7 on :
8 a :
9 closed :
10 path :
1 A :
2 and :
3 C :
4 are :
5 in :
6 the :
7 same :
8 closed :
9 path :
1 2 3 4 5 <==> 1 2 3 // EQUI // 5 //
6 <==> 4 // EQUI // 5 //
7 8 9 10 <==> 5 6 7 8 9 // EQUI // 5 //
// I think the red X means that this is dangerous and should never happen unless something is seriously wrong.
// there is a short circuit
1 I :
2 think :
3 the :
4 red :
5 X :
6 means :
7 that :
8 this :
9 is :
10 dangerous :
11 and :
12 should :
13 never :
14 happen :
15 unless :
16 something :
17 is :
18 seriously :
19 wrong. :
1 there :
2 is :
3 a :
4 short :
5 circuit :
16 <==> 2 // EQUI // 5 //
// because there was no gap from the positive terminal of the battery
// Terminal 1 and the positive terminal are separated by the gap
1 because :
2 there :
3 was :
4 no :
5 gap :
6 from :
7 the :
8 positive :
9 terminal :
10 of :
11 the :
12 battery :
1 Terminal :
2 1 :
3 and :
4 the :
5 positive :
6 terminal :
7 are :
8 separated :
9 by :
10 the :
11 gap :
4 5 <==> 9 10 11 // EQUI // 5 //
6 7 8 9 <==> 1 2 3 4 5 6 // EQUI // 5 //
// bulbs A and B are still connected to the closed path containing the battery
// If C burns out then A and B are still in a closed path with the battery
1 bulbs :
2 A :
3 and :
4 B :
5 are :
6 still :
7 connected :
8 to :
9 the :
10 closed :
11 path :
12 containing :
13 the :
14 battery :
1 If :
2 C :
3 burns :
4 out :
5 then :
6 A :
7 and :
8 B :
9 are :
10 still :
11 in :
12 a :
13 closed :
14 path :
15 with :
16 the :
17 battery :
1 2 3 4 <==> 6 7 8 // EQUI // 5 //
5 <==> 9 // EQUI // 5 //
6 <==> 10 // EQUI // 5 //
8 9 10 11 <==> 11 12 13 14 // EQUI // 5 //
12 13 14 <==> 15 16 17 // EQUI // 5 //
// if the switch and the bulb are in the same path
// When the switch and the bulb are contained in the same path
1 if :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 in :
9 the :
10 same :
11 path :
1 When :
2 the :
3 switch :
4 and :
5 the :
6 bulb :
7 are :
8 contained :
9 in :
10 the :
11 same :
12 path :
1 <==> 1 // EQUI // 5 //
2 3 4 5 6 <==> 2 3 4 5 6 // EQUI // 5 //
7 <==> 7 8 // EQUI // 5 //
8 9 10 11 <==> 9 10 11 12 // EQUI // 5 //
// bulb c and switch z are in the same closed path
// there is a path containing both Z and C
1 bulb :
2 c :
3 and :
4 switch :
5 z :
6 are :
7 in :
8 the :
9 same :
10 closed :
11 path :
1 there :
2 is :
3 a :
4 path :
5 containing :
6 both :
7 Z :
8 and :
9 C :
1 2 3 4 5 <==> 7 8 9 // EQUI // 5 //
// the bulb only has one terminal connected
// The battery is contained in a path which does not contain any other components
1 the :
2 bulb :
3 only :
4 has :
5 one :
6 terminal :
7 connected :
1 The :
2 battery :
3 is :
4 contained :
5 in :
6 a :
7 path :
8 which :
9 does :
10 not :
11 contain :
12 any :
13 other :
14 components :
1 2 <==> 1 2 // EQUI // 5 //
3 <==> 9 10 11 // EQUI // 5 //