Alternating Current — MCQ Practice

A series RLC circuit has a resistance $R = 100\,\Omega$, an inductance $L = 0.5\,\text{H}$, and a capacitance $C = 10\,\mu\text{F}$. If the circuit is connected to an AC source of $200\,\text{V}$ (RMS) and angular frequency $\omega = 100\,\text{rad/s}$, what is the impedance of the circuit?

In a series RLC circuit, 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 RMS voltage of the AC source?

An AC circuit has a power factor of $0.8$ and an apparent power of $500\,\text{VA}$. What is the true power consumed by the circuit?

A capacitor of capacitance $C$ is connected to an AC source $V = V_m \sin(\omega t)$. What is the instantaneous current in the circuit?

A series RLC circuit is at resonance. Which of the following statements is TRUE?

An inductor of $200\,\text{mH}$ is connected to an AC source of $220\,\text{V}$ (RMS) and $50\,\text{Hz}$. What is the RMS current flowing through the inductor?