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Question

Resonance frequency of LCR series a.c. circuit is f0. Now the capacitance is made 4 times, then the new resonance frequency will become

A
f0/4
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B
2f0
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C
f0
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D
f0/2
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Solution

The correct option is B f0/2
In LCR series circuit, resonance frequency f0 is given by:
Lω=1Cωω2=1LC

ω=1LC=2πf0
f0=12πLCf01C
When the capacitance of the circuit is made 4 times, its resonant frequency become f0
f0f0=C4Cf0=f02

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