Can a capacitor discharge itself through an ideal inductor ? If yes state the reason , if No how will the charge on the capacitor will behave ?
A charged perfect capacitor connected to a perfect inductor will have an oscillating voltage: discharge to 0, recharge to initial charge value with opposite polarity, back to 0, etc. forever. This is a sinusoidal oscillation which takes place at a frequency 1/sqrt(LC) rad/s. The reason for the oscillation is explained in the ref., which discusses such a circuit with added resistance. The resistance absorbs energy and causes the oscillation to damp out over time, but the behavior of the capacitor and inductor are the same without resistance.
