In a RLC circuit, the values of the inductance and capacitance are both halved. As a result of this change, the resonance frequency of the circuit is
A) the same as before.
B) reduced to one-half the original value.
C) twice the original value.
D) reduced to one-fourth the original value.
E) four times the original value.

Question

Quizplus · Accepted Answer

The resonance frequency of an RLC circuit is given by $f = \frac{1}{2\pi\sqrt{LC}}$. Halving both L and C results in the square root of a quarter ($\sqrt{\frac{1}{4}} = \frac{1}{2}$) in the denominator, which is equivalent to multiplying the original frequency by 2, thus doubling the resonance frequency.

In a RLC Circuit, the Values of the Inductance and Capacitance