A series combination of an inductor of self-inductance L, capacitor of capacitance C
Channel: Doubtnut
Date: 09/05/2020

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of `V=V_0sinomegat`. The current through the circuit is `I=I_0sin(omegat-theta)`,where `I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2))`and`theta=tan^-1 ""1/R(omegaL-1/(omegaC))`.  Now that, the frequency of both voltage and current is `f=omega/(2pi)` . The rms value of these parameters during one complete cycles are `V_(rms)=V_0/sqrt2`and`I_(rms)=I_0/sqrt2` respectively. These values are shown in alternating voltmeter and ammeter.  The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is `overlineP=V_(rms)I_(rms)costheta`. This `costheta` is termed the power factor.  The power factor of the circuit in question (iii) is