First slide

AC Circuits

Question

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

Moderate

A

4L
B

2L
C

L/2
D

L/4

Solution

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

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