A series LC circuit in a radio is in resonance with AM 1200 kHz.If the radio station is changed to AM 600 kHz,by what factor must the capacitance be multiplied to again achieve resonance?
A) 4
B) 2
C) 1/2
D) 1/4

Question

Quizplus · Accepted Answer

The resonant frequency of an LC circuit is given by f = 1/(2π√(LC)). To halve the frequency from 1200 kHz to 600 kHz, the capacitance must be increased by a factor of 4, since frequency is inversely proportional to the square root of capacitance.

A Series LC Circuit in a Radio Is in Resonance