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An ideal capacitor is charged to a voltage V0 and connected at t = 0 across an ideal inductor L. (The circuit now consists of a capacitor and inductor alone). If we let
, the voltage across the capacitor at time t > 0 is given by
V0



Voltage across capacitor will discharge through inductor up to voltage across capacitor becomes zero. In this period electrostatic energy stored in capacitor will transfer to electromagnetic energy in inductor. After that the inductor starts charging the capacitor and magnetic energy of inductor is converted to electrostatic energy again.





Voltage across capacitor=V(s)=Voltage across inductor


Let 

Taking inverse Laplace


