An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300-$\varOmega$ resistor.
-What is the peak (not rms) voltage across the capacitor?
A)120 V
B)180 V
C)190 V
D)210 V
E)290 V

Question

Quizplus · Accepted Answer

The peak voltage across the capacitor can be found using the formula $ V_{C,peak} = I_{peak} \cdot X_C $, where $ X_C = \frac{1}{2\pi f C} $. First, find the impedance $ Z $ and current $ I_{rms} $, then convert to peak current $ I_{peak} = \sqrt{2} \cdot I_{rms} $. Finally, calculate $ V_{C,peak} $.

An Ac Generator Supplies an Rms (Not Peak) Voltage of 180