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?
A) 14 Hz
B) 13 Hz
C) 16 Hz
D) 17 Hz
E) 19 Hz

Question

Quizplus · Accepted Answer

The capacitive reactance (Xc) is given by 1/(2πfC) and the inductive reactance (Xl) is given by 2πfL. Given that Xc = 2Xl, we can set up the equation 1/(2πfC) = 2(2πfL). Solving for f with L = 0.80 H and C = 80 μF gives f ≈ 14 Hz.

A Series Circuit Consists of Ac Source,a 90-Ω Resistor,a 0