LCR Circuits — Prelims Questions

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

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

In a series LCR circuit, the applied voltage leads the current. This implies that:

A series LCR circuit has a resonant frequency of $100,\text{kHz}$. If the capacitance is doubled, what will be the new resonant frequency?

A series LCR circuit is designed to have a high Q-factor. Which of the following combinations of R, L, and C would be most suitable?

In a series LCR 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 total applied RMS voltage?