QUESTÕES DE VEST. ASSOCIAÇÃO DE RESISTORES / CURTO-CIRCUITO
Autor: Virgilio Cardoso LIma | Publicado: 2015-01-23T05:13:00-08:00


1- (Unisinos-RS) 





Se
 as lâmpadas de uma árvore de Natal são todas idênticas e ligadas em 
série, a resistência elétrica de uma das lâmpadas é 
...................... resistência elétrica do conjunto.



Estando
 o conjunto ligado na rede elétrica e o filamento de uma das lâmpadas 
“romper”, então as outras lâmpadas ....................... .



As lacunas são corretamente preenchidas, respectivamente, por:



a) igual à / apagarão



b) menor que a / brilharão mais intensamente

c) menor que a / apagarão 

d) maior que a / brilharão mais intensamente

e) maior que a / apagarão


2-(Vunesp) Um circuito elétrico é composto por lâmpadas de 5Vligadas, em série, a uma fonte de 220V. Para que não se queimem, onúmero mínimo de lâmpadas nesse circuito deve ser:

a)24

b)44

c)54

d)64

e)74


3- (UECE) Associam-se em série dois resistores, sendo R1= 4,0 Ω e R2= 6,0 Ω. A
 tensão medida entre os terminais do primeiro é U1= 60 V. A corrente i 2
 e a tensão U 2 no segundo resistor respectivamente, valem: 





a) 10A e 60V&nbsp;

b) 15A e 90V&nbsp;

c) 15A e 45V&nbsp;

d) 10A e 40V&nbsp;


4- (PUC-RJ) Três lâmpadas com as seguintes características&nbsp; L1 (25W– 110V), L2 (100W – 110V) e L3 (200W – 110V) são conectadas da maneira representada na figura e, em seguida, o conjunto é ligado a uma tomada de 220V. Assim fazendo, qual (ou quais) das lâmpadas vai (vão) queimar?&nbsp;



a) L1 apenas

b) L3 apenas

c) L1 e L2 apenas

d) L2 e L3 apenas

e) L1, L2 e L3





5- (Cesgranrio) Você
 dispõe de duas lâmpadas, uma de 25W, 125V e outra de 200W, 125V. Você 
liga essas lâmpadas, conectadas em série, a uma tomada de 125V e observa
 que:&nbsp;



a) A lâmpada de 25W queima;&nbsp;

b) A lâmpada de 200W queima;&nbsp;

c) A lâmpada de 25W tem brilho quase normal e a lâmpada de 200W não chega a acender;&nbsp;

d) A lâmpada de 25W não chega a acender e a lâmpada de 200W tem brilho quase normal;&nbsp;

e) As duas lâmpadas acendem com brilho normal; 





6 -&nbsp; Uma
 lâmpada de filamento incandescente foi projetada para ser ligada a uma 
fonte de ddp 120 , dissipando, então, 100W. Para que esta lâmpada tenha o
 mesmo desempenho quando ligada a uma fonte de 240V é necessário usá-la 
com uma resistência em série. A potencia que será dissipada nesta resistência adicional será :




a) 50W&nbsp;
b) 100W&nbsp;
c) 120W&nbsp;
d) 200W 


e) diferente dessas



7 - (Fuvest-SP)&nbsp; A especificação de fábrica garante que uma lâmpada , ao ser submetida a 
uma tensão de 120V, tem potência de 100 W. O circuito abaixo pode ser 
utilizado para controlar a potência da lâmpada, variando-se a 
resistência R. Para que a lâmpada funcione com potência de 25 w , a 
resistência R deve ser igual a : 



a) 25 Ω

b) 36 Ω

c) 72 Ω

d) 144 Ω

e) 288 Ω





8 - Em uma associação de resistores diferentes em paralelo :&nbsp;



a) a ddp é igual em todos eles, e a maior resistência dissipa a maior potência&nbsp;

b) a corrente e a ddp são as mesmas em todos os resistores

c) as correntes e as potências dissipadas são inversamente proporcionais aos valores das resistências&nbsp;

d) a resistência equivalente é a soma das resistências da associação&nbsp;

e) nenhuma das anteriores





 

9 - (PUC - SP) Um fio resistivo homogêneo de comprimento L, secção reta constante A e 
resistência R é cortado em três pedaços iguais para formar um feixe.  A 
resistência do feixe vale:




a)R/9 
b)R/6 
c)R/3 
d)R 
e)3R&nbsp;



10 - (FUVEST) Na associação de resistores da figura abaixo, os valores de I e de R são, respectivamente:




a) 8A e 5Ω

b) 5A e 8Ω

c) 1,6 A e 5Ω

d) 2,5A e 2Ω

e) 80 A e 160Ω



11- (UFV-MG) Um circuito com três resistores é representado
na figura a seguir:&nbsp;







&nbsp; &nbsp;&nbsp; A resistência medida entre os pontos A e B é:



a) 6,0 Ω

b) 5,0 Ω

c) 2,2 Ω

d) 1,8 Ω

e) 1,2 Ω



12 - (F. M. Pouso Alegre - MG) Numa casa estão instaladas duas lâmpadas A e B .&nbsp;

Especificações de cada lâmpada 

A : 110V - 60W

B: 110 V - 100 W



Podemos afirmar corretamente que :&nbsp;

a)&nbsp; A resistência elétrica da lâmpada A é maior do que a da lâmpada B&nbsp;

b)&nbsp; A corrente elétrica que passa através da lâmpada A é maior do que a corrente através da lâmpada B

c)&nbsp; Depois de um determinado tempo acesas, podemos dizer que a lâmpada A terá dissipado mais energia do que a lâmpada B

d) Se os filamentos das duas lâmpadas são de mesmo material e mesma espessura, podemos dizer que o filamento da lâmpada B é mais comprido do que o filamento da lâmpada A

e) Como a voltagem a que estão submetidas as duas lâmpadas é a mesma, podemos dizer que ambas vão consumir a mesma energia em kWh



13 - Um chuveiro elétrico apresenta a inscrição: 



2.200W (Verão) / 4.400W (Inverno) - 220 V  



e, ligado corretamente, está protegido, na rede que o alimenta, por um 
fusível com tolerância de até 30 A.&nbsp; Se ligarmos, em paralelo ao 
chuveiro, sob a mesma ddp de 220 V, uma torneira elétrica com a 
inscrição 2.000W - 220V, poderemos afirmar que: 



a) o fusível queimará somente se o chuveiro estiver ligado no "Verão" 

b) o fusível queimará somente se o chuveiro estiver ligado no "Inverno" 

c) o fusível queimará de qualquer forma, ou seja, tanto se o chuveiro estiver ligado no "Verão" como no "Inverno"  

d) o fusível não queimará de maneira alguma. 

e) o fusível queimará mesmo sem ser ligada a torneira





14 - (Vunesp-SP) Dois resistores estão ligados em série a uma tomada de 110 V e dissipam ao todo 550 W . Observe a figura abaixo :



A potência total dissipada por esses mesmos resistores, se são ligados em paralelo a uma tomada de 220 V, é igual a :



a) 550 W

b) 4400 W

c) 1100 W

d) 2200 W

e) 8800 W



15 -&nbsp; ( Puccamp - SP ) A figura abaixo representa, em (I), uma associação de 
três resistores iguais, R, ligados a uma tensão U, percorrida por uma 
corrente elétrica is. Em (II) estão representados os mesmos resistores 
numa associação em paralelo, ligada à mesma tensão U, percorrida pela 
corrente ip





Pode-se afirmar que é a válida a relação :



a) is = 1/9ip

b) is = 1/3ip

c) is = ip

d) is = 3ip

e) is = 9ip



16 - Nos esquemas, todos os resistores são idênticos. Pelo esquema 1, a potência dissipada é de 20 watts. Pelo esquema 2, a potência dissipada é, em watts, igual a : 









a) 2,5

b) 5,0

c) 10

d) 40

e) 80



17 - (Vunesp - SP) Alguns automóveis modernos são equipados com um vidro térmico traseiro para eliminar o embaçamento em dias úmidos. Para isso, 'tiras resistivas' instaladas na face interna do vidro são conectadas ao sistema elétrico do veículo, de modo que se possa transformar energia elétrica em energia térmica. Num dos veículos fabricados no país, por exemplo, essas tiras (resistores) são arranjadas como mostra a figura a seguir.

Se as resistências das tiras 1, 2,...,6 forem, respectivamente, R1, R2,..., R6, a associação que corresponde ao arranjo das tiras da figura é: 







&nbsp;18 - (Mackenzie-SP)  No trecho do circuito a
                    seguir, a resistência de 3 Ohms dissipa 27 W. A ddp entre os pontos A e B vale:



a) 9 V

b) 13,5 V

c) 25,5 V

d) 30 V

e) 45 V



19 - (Fatec - SP) Quando se submete o sistema representado a seguir a uma diferença de potencial elétrico de 14V entre os pontos A e B, o resistor que dissipa maior potência é o de:












a) 1 Ω
b) 2 Ω
c) 4 Ω
d) 3 Ω
e) 6 Ω

&nbsp;&nbsp; &nbsp; 

20 - (PUC-RJ) No circuito da figura, considere P1, P2 e P3 as potências dissipadas nos resistores de resistências R1, R2 e R3, respectivamente . Sendo R2 &gt; R1 &gt; R3, pode-se afirmar que :




a) P1 &gt; P2 &gt; P3
b) P1 &gt; P3 &gt; P2
c) P2 &gt; P1 &gt; P3
d) P2 &gt; P3 &gt; P1
e) P3 &gt; P2 &gt; P1 







21 - ( Fatec-SP) No circuito elétrico representado no esquema
abaixo, a corrente no resistor de 6Ω é de 4A e no de 12Ω é de 2A.



Nessas condições, a resistência do resistor R e a tensão U aplicada entre os pontos C e D valem, respectivamente :&nbsp;

a) 6 Ω e 42 V

b)2 Ω e 36 V
c) 12 Ω e 18 V
d) 8 Ω e 5 V
e) 9 Ω e 72 V

22 - (F.M.Pouso Alegre - MG) Para o circuito ao lado são dados os seguintes valores:



i3 = 0,4 A (corrente através de R3)
i4 = 1,2 A (corrente através de R4)
V1 = 3,6 V (ddp aplicada em R1)
V2 = 6 V (ddp aplicada em R2)

Podemos deduzir que os valores dos resistores R1, R2, R3, R4, em ohms, são respectivamente :
a) 3 ; 7,5 ; 15; 2
b) 1,8 ; 15 ; 3 ; 10 
c) 3 ; 1,2 ; 2 ; 15
d) 7,5 ; 2 ; 3 ; 10
e) 1,8 ; 7.5 ; 15 ; 10

23 - (Fuvest - SP) A figura mostra um trecho de circuito com 3 lâmpadas funcionando de acordo com as características especificadas. Os pontos A e B estão ligados numa rede elétrica. Determine a potência dissipada por L3.


a) 75 W&nbsp;

b) 50 W&nbsp;

e) 150 W

d) 300 W

e) 200 W 

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24- (F.M. Vassouras – RJ)&nbsp;
Três lâmpadas - L1 de 20 W -110 V, L2 de 100 W - 110V e L3 de 500W-110V são
conectadas de três &nbsp;formas diferentes,
conforme é mostrado nos esquemas I, II e III. Em cada caso, o circuito &nbsp;assim formado é ligado à rede (110 V) por seus
terminais (M e N)&nbsp; . Qual das opções abaixo indica corretamente a lâmpada
de maior brilho ?





&nbsp;&nbsp;&nbsp; (I)&nbsp; (II)&nbsp; (III)
a) L1&nbsp;&nbsp;&nbsp;&nbsp; L1&nbsp;&nbsp;&nbsp; L3
b) L1&nbsp;&nbsp;&nbsp;&nbsp; L2&nbsp;&nbsp;&nbsp; L3 
c) L3&nbsp;&nbsp;&nbsp;&nbsp; L1&nbsp;&nbsp;&nbsp; L1 
d) L3&nbsp;&nbsp;&nbsp;&nbsp; L2&nbsp;&nbsp;&nbsp; L1
e) L3&nbsp;&nbsp;&nbsp;&nbsp; L3&nbsp;&nbsp;&nbsp; L3



25 - (Fuvest –SP )Quatro lâmpadas idênticas L, de 110V,
devem ser ligadas a uma fonte de 220V a fim de produzir, sem queimar, a maior
claridade possível. Qual a ligação mais adequada?









26- (F. M. Pouso Alegre – MG) No circuito abaixo as lâmpadas
são idênticas. Podemos, então, afirmar que :&nbsp;

a) &nbsp;&nbsp;&nbsp;&nbsp;
As lâmpadas brilharão igualmente 




&nbsp;&nbsp; b) &nbsp;&nbsp;&nbsp;
Desligando-se L2 ou L3, o brilho de L1 aumenta&nbsp;
&nbsp;&nbsp; c) &nbsp;
L1 brilha mais que L2 e L3&nbsp;

 &nbsp;&nbsp; d) &nbsp;&nbsp;&nbsp;
L1 ficará apagada enquanto L2 e L3 brilharão
intensamente&nbsp;
&nbsp;&nbsp; e) &nbsp;
L2 e L3 têm brilhos idênticos e mais intensos
que L1 







&nbsp;&nbsp;

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   UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
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   UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
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   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
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   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
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   UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
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   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
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   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
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<![endif]--><!--[if gte mso 10]>

 /* Style Definitions */
 table.MsoNormalTable
 {mso-style-name:"Tabela normal";
 mso-tstyle-rowband-size:0;
 mso-tstyle-colband-size:0;
 mso-style-noshow:yes;
 mso-style-priority:99;
 mso-style-qformat:yes;
 mso-style-parent:"";
 mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
 mso-para-margin-top:0cm;
 mso-para-margin-right:0cm;
 mso-para-margin-bottom:10.0pt;
 mso-para-margin-left:0cm;
 line-height:115%;
 mso-pagination:widow-orphan;
 font-size:11.0pt;
 font-family:"Calibri","sans-serif";
 mso-ascii-font-family:Calibri;
 mso-ascii-theme-font:minor-latin;
 mso-fareast-font-family:"Times New Roman";
 mso-fareast-theme-font:minor-fareast;
 mso-hansi-font-family:Calibri;
 mso-hansi-theme-font:minor-latin;}

<![endif]-->1 – C : <!--[if gte mso 9]>
 
  Normal
  0
  
  
  21
  
  
  false
  false
  false
  
  PT-BR
  X-NONE
  X-NONE
  
   
   
   
   
   
   
   
   
   
   
   
  
  MicrosoftInternetExplorer4
  
   
   
   
   
   
   
   
   
   
   
   
  
<![endif]-->
<!--[if gte mso 9]>
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<![endif]-->&nbsp;&nbsp;&nbsp; Na associação
de resistores em série&nbsp; a resistência
equivalente é igual a soma das resistências de cada resistor. Logo, a
resistência do conjunto das lâmpadas do pisca-pisca é maior do que de cada
lâmpada
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<![endif]-->



&nbsp;&nbsp;&nbsp; Na associação de resistores em série a corrente é a mesma
para cada resistor. Logo, se romper o filamento de uma lâmpada (que é o
resistor)&nbsp; nenhuma das outras funcionarão.


&nbsp;

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Na associação de resistores em série a ddp total é igual a
soma das ddp de cada resistor. 

Logo, 220 = 5 . n 

Em que n é o numero de &nbsp;lâmpadas (resistores) 

Portanto, temos&nbsp; 220 /
15 = 

44 lâmpadas no mínimo. 

Obs :&nbsp; Se aumentarmos
o número de lâmpadas a ddp&nbsp; de cada
lâmpada diminuirá e, portanto, não funcionarão normalmente. 

Se diminuirmos o número de lâmpadas a ddp de cada lâmpada
aumentará e, portanto, queimará. 


3 – B :&nbsp;
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Sabemos que R1 = 4Ω&nbsp; temos uma ddp de 60 V 

Pela Lei de Ohm passa por R1 

60 = 4 . i1

I1 = 15 A

Como os resistores estão em série 

I1 = i2 = 15 A 

Logo, para R2 = 6Ω

Temos U2 = 6.15 = 90 V




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R1 = U1² / P1 = 110² / 25 = 484 Ω

R2 = U2 ²/ P2 = 100² / 110 = 121 Ω

R3 = U3² / P3 = 110² / 200 = 60,5 Ω

Como os resistores estão em série 

Req = 484 + 121 + 60,5 = 665,5 Ω

Com a ddp do circuito e &nbsp;a resistência total, &nbsp;aplicando a Lei de Ohm encontraremos a
corrente do circuito : 

220 = 665,5 . i 

i = 0,33 A

A corrente é a mesma para todas as lâmpadas . 

Em L1 a ddp é 

U1 = 684. 0,33

U1 = 160 V

L1 suporta apenas 110 V. Logo, queimará



Em L2 a ddp é 

U2 = 121 . 0,33 

U2 = 40 V 

&nbsp;L2 suporta 110 V.
Logo, não queimará 



Em L3 :

Sabendo que na associação em série 

U = U1 + U2 + U3 

Automaticamente, 220 = 40 + 160 + U3

U3 = 20 V

L3 suporta 110 V. Logo, não queimará




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&nbsp;R1 = U1² / P1 = 125 ²
/ 25 = 625 Ω

R2 = &nbsp;U2² / P2 = 125 ²
/ 220 = 78,1 Ω

A ddp total é 125 e a resistência equivalente é&nbsp; Req = 625 + 78,1 = 703,1 Ω



Pela Lei de Ohm encontraremos a corrente total do circuito :


125 = 703,1 . i 

i = 0,17 A 

Como as lâmpadas em série a corrente é a mesma para as duas
lâmpadas : i = i1 = i2



Na lâmpada L1, 

U1 = R1 . i 

U1 = 625 . 0,17 = 111,1 V



Como L1 suporta 125V , ela acenderá quase normalmente 



Na lâmpada L2

U2 = R2 . i 

U2 = 78,1 . 0,17 = 8,6 V



Como L2 suporta 125 V, ela com apenas 8,6 V não chega a
acender


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Pela fórmula P = U² / R encontraremos o valor do
resistor &nbsp;inicial :

100 = 120² / R

R = 144 Ω

Pelo enunciado, ao colocarmos mais uma resistência ddp
final passa a ser 240 V. 

Como na associação em série U = U1 + U2 

Portanto, 240 = 120 + U2 

U2 = 120 V 

Se a resistência adicional possui o mesmo
desempenho da inicial 

R2 = 144 Ω



&nbsp;Logo, P = 120²
/ 144 = 100 W &nbsp;




7 – D :&nbsp;

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Inicialmente temos apenas a lâmpada no circuito,
cuja resistência é calculada pela fórmula P = U² / R

100 = 120² / Rlamp 

Rlamp = 144 Ω



Pela figura nota-se que no circuito é acrescentado
uma resistência R e que a ddp continua valendo 120 V&nbsp;



Logo, Ufinal = Vlamp + Vresistor

120 = Vlamp + Vresistor



A potência final da lâmpada é 25W



25 = Vlampada² / 144

Vlampada = 60V&nbsp; 
 

Portanto,
120 = 60 + Vresistor

Vresistor = 60 V 



Sabemos que a corrente em ambos resistores é a
mesma :&nbsp;

Ilamp = Iresistor





Pela Lei de Ohm:

Vlamp / Rlamp = Vresistor /&nbsp; R

60 / 144 = 60 / R 



R = 144 Ω



8 – C :&nbsp;

A corrente é inversamente proporcional ao valor da
resistência de acordo com a Lei de Ohm U = R.i&nbsp;

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   UnhideWhenUsed="false" Name="Medium List 1"/>
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   UnhideWhenUsed="false" Name="Medium List 2"/>
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   UnhideWhenUsed="false" Name="Medium Grid 1"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2"/>
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   UnhideWhenUsed="false" Name="Medium Grid 3"/>
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  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="34" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="29" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
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   UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>
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  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 1"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 1"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 2"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 2"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 2"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 2"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 2"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 3"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 3"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 3"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
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  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>
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   UnhideWhenUsed="false" Name="Light List Accent 4"/>
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  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
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   UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
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   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>
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   UnhideWhenUsed="false" Name="Dark List Accent 4"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
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   UnhideWhenUsed="false" Name="Colorful List Accent 4"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 5"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 5"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>
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   UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>
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   UnhideWhenUsed="false" Name="Dark List Accent 5"/>
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   UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>
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   UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
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   UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 6"/>
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   UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
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   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
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   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
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  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
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   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
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   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
  <w:LsdException Locked="false" Priority="19" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
  <w:LsdException Locked="false" Priority="21" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
  <w:LsdException Locked="false" Priority="31" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
  <w:LsdException Locked="false" Priority="32" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
  <w:LsdException Locked="false" Priority="33" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
  
  
 
<![endif]--><!--[if gte mso 10]>

 /* Style Definitions */
 table.MsoNormalTable
	{mso-style-name:"Tabela normal";
	mso-tstyle-rowband-size:0;
	mso-tstyle-colband-size:0;
	mso-style-noshow:yes;
	mso-style-priority:99;
	mso-style-qformat:yes;
	mso-style-parent:"";
	mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
	mso-para-margin-top:0cm;
	mso-para-margin-right:0cm;
	mso-para-margin-bottom:10.0pt;
	mso-para-margin-left:0cm;
	line-height:115%;
	mso-pagination:widow-orphan;
	font-size:11.0pt;
	font-family:"Calibri","sans-serif";
	mso-ascii-font-family:Calibri;
	mso-ascii-theme-font:minor-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:minor-fareast;
	mso-hansi-font-family:Calibri;
	mso-hansi-theme-font:minor-latin;}

<![endif]-->



Na &nbsp;associação em paralelo quanto maior a resistência
do resistor, menor será a potência dissipada por ele :

Pn = Un² / Rn

Em que n refere-se ao numero do resistor utilizado

Na associação em série quanto maior a resistência do
resistor maior, será a potencia dissipada por ele

Pn = Rn.i²




9 – A : <!--[if gte mso 9]>
 
  Normal
  0
  
  
  21
  
  
  false
  false
  false
  
  PT-BR
  X-NONE
  X-NONE
  
   
   
   
   
   
   
   
   
   
   
   
  
  
   
   
   
   
   
   
   
   
   
   
   
  
<![endif]--><!--[if gte mso 9]>
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   UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
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   UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
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Antes de ser cortado o fio tem comprimento L. Logo,
R = p L /A




Depois ele é cortado em três pedaços, o que
proporciona um comprimento L / 3 e uma área tres vez maior : 3A . Logo, R = p (L/3)
/ (A/3)




R = pL / 9 = R / 9




10 – A :&nbsp;
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<![endif]-->Trata-se de uma associação paralela de resistores,
onde a corrente é dividida em três trechos. 



Como os resistores estão em paralelo a ddp nos três
trechos são iguais.

Pela Lei de Ohm e usando os dados do fio mais
superior, podemos encontrar essa ddp : 

U = 4 . 20 = 80 V 

Como o fio médio possui a mesma ddp. Assim, pela
Lei de Ohm descobrimos a corrente nesse trecho 

80 = 10.i 

i2= 8 A

Finalmente, fazemos o mesmo para o fio inferior.&nbsp; Assim,
pela Lei de Ohm descobrimos o valor de R:

80 = R.16

R = 5 Ω




11 – E :&nbsp;





12 – A :
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RA = 110² / 60 = 201 Ω




RB = 110² / 100 = 121 Ω




RA &gt; RB 

&nbsp;

13 – D :&nbsp;
Usando a fórmula P = V.i 
Chuveiro no verão : 2200 =&nbsp; 220.i1
i1 = 10 A
Chuveiro no inverno: 4400 = 220.i2
i2 = 20 A

O fusível da rede 30 A&nbsp; 

Torneira elétrica :
&nbsp;2000 = 220. i3 
i3 = 9A

Perceba que mesmo somando a maior corrente do chuveiro (i1=20A) com&nbsp; 9A da torneira elétrica o valor nunca superará 30 A do fusível.&nbsp;

14 –E : 
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Com o valor da ddp e da potência usamos a fórmula P = U² / R
para encontrar o valor de R&nbsp; :

Na associação em série&nbsp;
Req = 2R 

550 = 110² / 2R

R = 11 Ω



Com o valor de R podemos encontrar a potência na ddp de 220
V.



Na associação em paralela Req = R/2, pois, quando os
resistores possuem os mesmos valores nesse tipo de associação Req = R / n , em
que n é o número de resistores e R é o seu valor 

P = 220 ² / &nbsp;(R/2)

P = 220 ² / (11/2) 

P = 8800 W



15 –A : 
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No esquema I, pela Lei de Ohm : 

U = 3R . is 



No esquema II , pela Lei de Ohm : 

U = (R / 3) . Ip 



Como o esquema I e o II estão submetidos a mesma tensão 

3R . is = (R/3) . ip 

Que é igual a ip = 9 is




16 –B : 
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Primeiramente encontramos o valor de R usando a &nbsp;fórmula P = U² / R no esquema I : 

Nota-se que o esquema I possui uma associação de resistores
em paralelo. Logo, Req = R/2, pois, quando os resistores possuem os mesmos
valores nesse tipo de associação Req = R / n , em que n é o número de
resistores e R é o seu valor 



20 = 20² / ( R/2)

R&nbsp; = 40 Ω

Com o valor de R, encontraremos a potência dissipada no
esquema II 

P = 20² / (2. 40)&nbsp; = 5 W



17 – B :&nbsp;


&nbsp; 

18 –E :&nbsp;

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Como os resistores de 3Ω e 6Ω estão em paralelo. Logo, a ddp
deles são iguais.



Com os dados do resistor 3Ω e pela fórmula P = U² / R
encontramos o valor da ddp

27 = U’² / 3 

U ‘= 9 V



Como já foi dito, o resistor de 3Ω e 6Ω estão em paralelo&nbsp; . Logo, nesse trecho 



Req’ = 3.6 / 3+6 = 2Ω

&nbsp;Como &nbsp;ddp nesse trecho
é 9V



Pela Lei de Ohm : 

9 = 2.i

i = 4,5 A&nbsp;







Perceba que após a configuração o circuito está em série. 

Portanto, o resistor de 8Ω receberá a mesma &nbsp;corrente 



Pela Lei de Ohm encontraremos o valor da ddp nesse resistor 

U’’ = 8 . 4,5 

U’’ = 36 V

No circuito em série Utotal = U’ + U’’

U = 9 + 36 = 45 V&nbsp;



*Obs : Poderia também ter feito da seguinte forma : 

A corrente é 4,5 A e a Req total é 10 

Então a ddp total pela Lei de Ohm é 

U = 4,5 . 10 = 45 V&nbsp;




19 – C:&nbsp;


Primeiramente, encontraremos a resistência equivalente do circuito:&nbsp;



&nbsp;Dois resistores de 6 Ω estão em paralelo, como possuem valores iguais, a resistência equivalente nesse trecho é&nbsp; Req' = 6 / 2 = 3Ω&nbsp; .
Temos então, a seguinte configuração :&nbsp;









Como a associação de resistores está em série a resistência total do circuito é&nbsp; :
Req = 4 + 3 = 7Ω

&nbsp;
Pela Lei de Ohm : 14 = 7 . i&nbsp;
i = 2A


 


Note na&nbsp; figura abaixo&nbsp; que o resistor possui toda a corrente de 2A é o de 4Ω . Os resistores de 6Ω recebem metade desse valor (dois trechos com resistores de valores iguais)






&nbsp; 
&nbsp; &nbsp; 

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R2 e R3 estão em paralelo . Logo, U2 = U3 



Como R2 &gt; R3 , lembremos que na associação de resistores
em paralelo cada resistor possui uma potência calculada pela fórmula &nbsp;P = U² / R, ou seja, quanto maior a
resistência menor é a potência. Logo, P2 &lt; P3

A corrente maior do circuito é a de R1, que possui valor
total, sendo dividida depois para os resistores de R2 e R3. 

R1 está em série com a resistência equivalente de R2 e R3 . Na
associação de resistores em série cada resistor possui uma potência calculada
pela fórmula P = Ri² 

Como i1 &gt; i3 e R1 &gt; R3 , P1 &gt; P3

Resposta : P1 &gt; P3 &gt; P2
&nbsp;

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Repare que a corrente inicial é de 4A, sendo dividida em
dois trechos em que um deles recebeu 2A. Logo, o outro receberá o que restou,
também 2A. Como ocorre uma divisão igual de corrente, a resistência da parte
superior&nbsp; é igual a da inferior . 



12 = 3 + R

R = 9 Ω



Para encontrar a ddp do circuito calculamos a resistência
equivalente do circuito. 

Primeiramente,&nbsp; o
trecho em paralelo possui resistência no valor de Req’ = 9.12 / 9+12 = 6

O que gera um circuito com três resistores de 6Ω em série :







Logo, a resistência do circuito é Req = 6 + 6 + 6 = 18 Ω

Com a corrente total e a resistência total aplicamos a Lei
de Ohm para encontrar a ddp

U = 18 . 4 = 72 V
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No trecho de resistores em paralelo sabemos que U2 = U3 

Logo, U2 = U3 = 6 V&nbsp;



Pela Lei de Ohm : 

6 = R3 . 0,4

R3 = 15 Ω

Agora,&nbsp; nota-se que i1
= i4 = 1,2 A

Como V1 = 3,6 V

Pela Lei de Ohm : 

3,6 = 1,2 . R1 

R1 = 3 Ω



A corrente total é 1,2 A e ao ser dividida no trecho em
paralelo 0,4A passa por R3 . Logo, por R2 passará 1,2 – 0,4 = 0,8 A 

Com o valor de V2 e i2, encontramos R2 pela Lei de Ohm&nbsp; : 

6 = R2 . 0,8 

R2 = 7,5 Ω

Por último perceba que a ddp do circuito é 12 V, &nbsp;temos 3,6 em R1 e 6V no trecho de
resistores em paralelo &nbsp;&nbsp;. Logo, 12 = 3,6 + 6 + V4

V4 = 2,4 A 

Pela Lei de Ohm : R4 = 2,4 / 1,2 = 2 Ω



23 - C
Usaremos P = U.i 
L1 : 50 = 100.i&nbsp;
i1 = 0,5 A&nbsp;
L2 : 100 = 100.i&nbsp;
i2 = 1A&nbsp; &nbsp;
Em L3 :
P3 = 100 . (1+0,5)
P3 = 150 W&nbsp; &nbsp; 

24 - C
Brilha mais a lâmpada que tiver maior potência .&nbsp;
&nbsp;Pela fórmula P = U² / R encontraremos o valor da potência em cada lâmpada

L1 : 20 = 110² / R1 
R1 = 605 Ω

L2 : 100 = 110² / R2&nbsp; &nbsp;
R2 = 121 Ω

L3 : 500 = 110² / R3&nbsp;
R3 = 24Ω

No esquema I perceba que as lâmpada estão associadas em paralelo. Para esse tipo de associação considera-se a fórmula P = U² / R a potência fornecida por cada resistor, ou seja, quanto maior a resistência menor é a potência, e vice-versa. Como R3 &lt; R2 &lt; R1 , L3 é a que possui maior potência (brilha mais)&nbsp;

No esquema 2 perceba que temos as lâmpadas L2 e L3 associadas em paralelo. Como R3&nbsp; &lt; R2 , consequentemente P3 &gt; P2 .&nbsp; &nbsp;&nbsp;&nbsp;Para relaciona-los com L1 precisamos calcular a resistência equivalente nesse trecho :&nbsp;
Req' = 121.24 / 121+24 = 20 Ω&nbsp;

Porém, perceba que L1 está em série com esse trecho. Na associação em série a potência fornecida por cada resistor é calculada pela fórmula P = R.i² , ou seja, quanto maior a resistência maior será a potência, e vice-versa. Como R1 &gt; Req' , L1 possui&nbsp; a maior potência&nbsp;

No esquema 3 temos uma associação em série, nesse tipo de associação, quem tem maior resistência fornece mais potência, e vice-versa.&nbsp; Como R1 &gt; R2 &gt; R3, L1 possui a maior potência 

25 - C




26 - C&nbsp;
Como as lâmpadas são idênticas o que vai diferenciar é a maneira como as lâmpadas estão arranjadas no circuito. Perceba que L1 possui a corrente total, que irá ser dividida para L2 e L3. Logo,&nbsp; L1 brilhará mais que as outras.