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For series L-C-R circuit, L = 10mH and C...

For series L-C-R circuit, L = 10mH and `C = 10^(-7)` F If resonance frequency is made double without changing inductor, the capacitance must be ……... `mu`F.

A

0.25

B

0.025

C

2.5

D

25

Text Solution

Verified by Experts

The correct Answer is:
B
`omega_0=1/sqrt(LC)`
`therefore 2omega_0 = 1/sqrt(LC.)`
`therefore omega_0/(2omega_0)=sqrt((LC.)/(LC))`
`therefore 1/4=(C.)/C`
`therefore C.=C/4 =10^(-7)/4`
`=0.25xx10^(-7)`
`=0.025xx10^(-6)` F
`therefore C=0.025 muF`
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