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in a LCR circuit capacitance is chagned ...

in a LCR circuit capacitance is chagned from C to 2C. For the resomat frequency to remain unchaged, the inductance should be chagned from L to

A

`4L`

B

`2L`

C

`L//2`

D

`L//4`

Text Solution

Verified by Experts

The correct Answer is:
3
In the condition of resonance
`X_(L)=X_(C )`
or `omegaL=1/(omegaC) …(i)`
Since, resonant frequency remains unchanged,
so, `sqrt(LC)=constant`
or `LC=`comstant
`:. L_(1)C_(1)=L_(2)C_(2)`
`impliesLxxC=L_(2)xx2C`
`implies L_(2)=L/2`
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