Power in AC Circuit — MCQ Practice

An LCR series circuit has $R = 100,Omega$, $L = 0.5,\text{H}$, and $C = 10,mu\text{F}$. It is connected to an AC source of $V_{rms} = 200,\text{V}$ and angular frequency $omega = 200,\text{rad/s}$. What is the average power dissipated in the circuit?

In a purely inductive AC circuit, what is the average power dissipated over a complete cycle?

An AC circuit has an impedance $Z = 50,Omega$ and a resistance $R = 30,Omega$. If the RMS voltage of the source is $250,\text{V}$, what is the average power consumed by the circuit?

At what condition does an LCR series circuit dissipate maximum average power for a given RMS voltage?

An AC source is connected to a series RLC circuit. If the voltage across the resistor is $V_R = 30,\text{V}$, across the inductor is $V_L = 60,\text{V}$, and across the capacitor is $V_C = 20,\text{V}$, what is the power factor of the circuit?

Which of the following statements about power factor correction is correct?