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A LCR circuit be haves like a damped har...

A LCR circuit be haves like a damped harmonic oscillator. The discharge of capacitor C, through an `C^(square)` inductor L having resistance R is oscillatory. Then which of following is correct _____.

A

`1/(LC)lt(R^(2))/(4L^(2))`

B

`1/(LC)gt(R^(2))/(4L^(2))`

C

`1/(LC)gt(R^(3))/(4L^(4))`

D

`1/(sqrt(LC))gt(R^(3))/8`

Text Solution

Verified by Experts

The correct Answer is:
B
As `w=sqrt(1/(LC)-(R/(2))^(2)`
For oscillation w should defined
For this `1/(LC)gt(R/(2L))^(2)`
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