First slide

L - C Oscillations

Question

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

Easy

A

4L
B

2L
C

L/2
D

L/4

Solution

$v_{0} = \frac{1}{2 π \sqrt{LC}}$
If C changes to 2C, then for keeping v₀ constant L must change to L/2.

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