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 voltage applied in an LCR circuit having `R=10Omega,L=10mH`and `C=1muF`is `V=20sinomegat` volt. For what frequency of the applied voltage will the current reach its peak value?
A. 159 Hz
B. 1592 Hz
C. `1.59times10^4Hz`
D. `1.59times10^5Hz`
