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An LC circuit contains a 20 mH inductor ...

An LC circuit contains a 20 mH inductor and a `50 mu F` capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant at which the circuit which is closed be t=0. At what time the energy stored is completely magnetic ?

A

3A

B

t=0

C

`t=1.54 ms`

D

`t=3.14ms`

Text Solution

Verified by Experts

For L-C , oscillator , T = `2pi sqrt LC`
From one extreme to another when electric field is maximum magnetic field is zero. When electric field is zero, magnetic field is maximum.
At time` t = T/4`, energy stored is completely magnetic
`therefore` Time, `t = T / 4 = 2pi sqrt LC/4`
`implies t = pi sqrt( 20 xx 10^(-3) xx 50 xx 10^(-6)) / 2 = pisqrt (1 xx 10^(-6))/ 2`
`implies` t = 1.57 ms
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