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A charged 30 muF capacitor is connected ...

A charged `30 muF` capacitor is connected to a 27 mH inductor. What is the angular freuqency of free oscillations of the circuit?

Text Solution

Verified by Experts

For free LC oscillations,
`omega = ( 1)/( sqrt( LC))`
` = ( 1)/( sqrt( 27 xx 10^(-3) xx 30 xx 10^(-6)))`
`= (1)/(sqrt(81 xx 10^(-8)))`
`= ( 10000)/( 9)`
`= 1111 ( rad)/(s)`
`= 1.111 xx 10^(3) ( rad )/(s)`
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