LRC series circuits: A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-μF capacitor and a 100-Ω resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor?

Question

Quizplus · Accepted Answer

The impedance Z of the circuit is given by Z = V/I = 120V/0.680A = 176.47 Ω. The impedance of the circuit is also given by Z = √(R² + (XL - XC)²), where XL = 2πfL and XC = 1/(2πfC). Solving for L using the given values, we find L ≈ 35.8 mH.

LRC Series Circuits: a 120-V Rms Voltage at 1000 Hz