Solveeit Logo

Question

Question: In a LCR circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged...

In a LCR circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be change from L to

A

4L

B

2L

C

L/2

D

L/4

Answer

L/2

Explanation

Solution

ν0=12πLC\nu_{0} = \frac{1}{2\pi\sqrt{LC}}

If C changes to 2C then for keeping ν0 constant L must change to L/2.