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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

t = 0

B

t = 1.54 ms

C

t = .3 14ms

D

t = .6 28ms

Text Solution

Verified by Experts

The correct Answer is:
B
Frequency of LC oscillation
`f = (1)/(2 pi sqrt(LC))`
`:.` Time period (T) `= 2 pi sqrt(LC)`
At `t = (T)/(4)` energy stored is completely magnetic
`t = (2 pi sqrt(20 xx 10^(-3) xx 50 xx 10^(-6)))/(4) = 1.57 ms~~ 1.54 ` ms
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