A capacitor of capacity `2muF` is changed to a potential different of `12V` . It is then connected across an inductor of inductance `0.6mH` What is the current in the circuit at a time when the potential difference across the capacitor is `6.0V` ?

Explanation

`C=2muF` , `L=0.6mH` , `V_(0)=12V`
`omega=(1)/(sqrt(LC))=(1)/(sqrt(0.6xx10^(-3)xx2xx10^(-6))`
`=(10^(5))/(2sqrt(3))` rad/sec
`Q=Q_(0)cosomegat`
`CV=CV_(0)cosomegat`
`V=6V`
`6=12cosomegat` implies `cosomegat=1//2,sinomegat=sqrt(3)/2`
`Q=Q_(0)cosomegat=CV_(0)cosomegat`
`i=(dQ)/(dt)=-CV_(0)omegasinomegat`
`|i|=CV_(0)omegasinomegat`
`=2xx10^(-6)xx12xx(10^(5))/(2sqrt(3))xx(sqrt(3))/(2)`
`=0.6A`