A series RLC circuit in a radio is in resonance with AM 600 kHz.If the radio station is changed to AM 1 200 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 RLC circuit is inversely proportional to the square root of the capacitance. Doubling the frequency requires reducing the capacitance by a factor of four (since (1/√4) = 1/2).

A Series RLC Circuit in a Radio Is in Resonance