A series RLC circuit has a 100-Ω resistor, a 0.100-μF capacitor, and a 2.00-mH inductor connected across a 120 V rms ac source operating at resonant frequency. What is the rms value of the voltage across the inductor?
A) 170 V
B) 150 V
C) 120 V
D) 54.0 V
E) 533 V

Question

Quizplus · Accepted Answer

At resonance, the voltage across the inductor is maximum and is given by:```VL = V * Q```where V is the rms voltage of the source and Q is the quality factor of the circuit. The quality factor is given by:```Q = R / (2πfL)```where R is the resistance, f is the resonant frequency, and L is the inductance. Substituting the given values into these equations, we get:```Q = 100 Ω / (2π * 60 Hz * 2.00 mH) = 13.26``````VL = 120 V * 13.26 = 1591 V```Therefore, the rms value of the voltage across the inductor is 1591 V.

A Series RLC Circuit Has a 100-Ω Resistor, a 0