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In a L-C-R circuit capacitance is change...

In a L-C-R circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to …..

A

4 L

B

2 L

C

`L/2`

D

`L/4`

Text Solution

Verified by Experts

The correct Answer is:
C
`omega_0=1/sqrt(L_1C_1)=1/sqrt(L_2C_2)`
`therefore L_1C_1=L_2C_2`
`therefore LC=L_2(2C)`
`therefore L_2=(LC)/(2C)=L/2`
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