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In an LCR series circuit the capacitance...

In an LCR series circuit the capacitance is changed from `C` to `4C` For the same resonant fequency the inductance should be changed from `L` to .

A

2 L

B

L/2

C

L/4

D

4L

Text Solution

Verified by Experts

The correct Answer is:
C
`f_(1)=f_(2)`
`(1)/(2pisqrt(L_(1)C_(1)))=(1)/(2pisqrt(L_(2)C_(2)))`
But, `C_(2)=4C_(1)`
`L_(1)=4L_(2)`
`therefore L_(2)=(L_(1))/(4)=(L)/(4)`
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