A 120-V rms voltage at 60 Hz is applied across a 20-μF capacitor and an unknown resistor. If the rms value of the current in that circuit is 0.60 A, what is the value of the resistor?
A) 60 Ω
B) 120 Ω
C) 180 Ω
D) 150 Ω
E) 200 Ω

Question

Quizplus · Accepted Answer

The impedance of the capacitor is calculated using Zc = 1/(2πfC). The total impedance Z is V/I = 120V/0.60A = 200Ω. The resistor's impedance is found using Z^2 = R^2 + Zc^2, solving for R gives 150Ω.

A 120-V Rms Voltage at 60 Hz Is Applied Across