In an RLC ac circuit,the values of the inductance and capacitance are both doubled.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)reduced to one-fourth the original value.
D)twice the original value.
E)four times the original value.

Question

Quizplus · Accepted Answer

The resonance frequency of an RLC circuit is given by $ f_0 = \frac{1}{2\pi\sqrt{LC}} $. If both L and C are doubled, the new resonance frequency becomes $ f_0' = \frac{1}{2\pi\sqrt{2L \cdot 2C}} = \frac{1}{2\pi\sqrt{4LC}} = \frac{1}{2} \times \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2} f_0 $. Thus, the resonance frequency is reduced to one-half the original value.

In an RLC Ac Circuit,the Values of the Inductance and Capacitance