LRC series circuits: A series circuit consists of ac source, a 90-Ω resistor, a 0.80-H inductor, and an 80-μF capacitor. The frequency of the source is adjusted so that the capacitive reactance is equal to twice the inductive reactance. What is the frequency of the source?

Question

Quizplus · Accepted Answer

The capacitive reactance (Xc) is given by 1/(2πfC) and the inductive reactance (Xl) is given by 2πfL. Given Xc = 2Xl, solving for f gives f = 1/(2π√(LC)) = 14 Hz.

LRC Series Circuits: a Series Circuit Consists of Ac Source