Radio receivers are usually tuned by adjusting the capacitor of an LC circuit. If C = C₁ for a frequency of 600 kHz, then for a frequency of 1200 kHz one must adjust C to: A) C₁/2 B) C₁/4 C) 2C₁ D) 4C₁

Question

Quizplus · Accepted Answer

The resonant frequency of an LC circuit is given by the equation f = 1/(2π√(LC)). Since the frequency is doubled to go from 600 kHz to 1200 kHz, the capacitance needs to be halved in order to maintain the same resonant frequency. Therefore, the correct choice is option B: C₁/4.

Radio Receivers Are Usually Tuned by Adjusting the Capacitor of an LC