A `100 mu F` capacitor is charged to a potentail of 50 V. The battery is then disconnected to it. Calculate maximum current in the coil and frequency of LC oscillations

Explanation

Here, `L = 100 mu H = 100 xx 10^(-6) H = 10^(-4) H`
`C = 0.01 mu F = 10^(-8) F, v = ? , lambda = ?`
`v = (1)/(2 pi sqrt(LC)) = (1)/(2 pi sqrt(10^(-4) xx 10^(-8))) = (10^(6))/(2 pi)`
` = 1.592 xx 10^(5) hz = 159.2 kHz`
`lambda = (upsilon)/(v) = (3 xx 10^(8))/(1.592 xx 10^(5)) = 1.884 xx 10^(3) m`
If we assume that there is no loss of energy, then the energy oscillation will continue for infinite time.