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An electric circuit consists of a capacitor C, coil of inductance L, and a switch. In...

An electric circuit consists of a capacitor C, coil of inductance L, and a switch. In the initial state the capacitor is charged with the voltage V and the switch is off. Then the circuit is switched on. What is the rate of change of the current delta I/ delta t at the initial moment? What physical phenomenon will take place then? What is the maximal current in the circuit?

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Answer #1

In the initial moment, the inductor will behave as a open circuit so no current will flow through it. In this case ,

At t=0,

Now for Io, we conserve the total energy, So, we have,

Also, we know that,

So, finally we have,

We have already calculated the maximum current that is,

This phenomenon is called as LC- oscillation. The capacitor will gets discharged causing a current in the circuit. The inductor will oppose this change and after some times, the current will revert, therby charging the capacitor once more. So, the charge on capacitor becomes current in the inductor and vice versa. Thus, the name LC- oscillation.

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