A series LRC circuit has a sinusoidal voltage supplied to it at 197 kHz with a peak voltage of 270 V, a 41-kΩ resistance, a 14-μF capacitor, and a 63-H inductance. What is the peak current for this circuit?
A) 3.5 μA
B) 2.3 μA
C) 4.2 μA
D) 6.6 μA

Question

Quizplus · Accepted Answer

The peak current in an LRC circuit is given by I_peak = V_peak / Z, where Z is the impedance. The impedance Z = sqrt(R^2 + (X_L - X_C)^2), where X_L = 2πfL and X_C = 1/(2πfC). Calculate X_L and X_C, find Z, and then use the formula to find I_peak.

A Series LRC Circuit Has a Sinusoidal Voltage Supplied to It