If the inductance and the capacitance both double in an LRC series circuit, the resonant frequency of that circuit will
A) decrease by a factor of 1/2.
B) decrease by a factor of 1/4.
C) increase by a factor of 2.
D) increase by a factor of 4.

Question

Quizplus · Accepted Answer

The resonant frequency of an LRC series circuit is given by f=1/(2π√LC). If both L and C double, the frequency will decrease because the denominator will increase by a factor of 2√2, resulting in a decrease by a factor of 1/2.

If the Inductance and the Capacitance Both Double in an LRC