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In: Physics

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power...

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power and connected in series with a 0.240-mH inductor.

Calculate the energy stored in the inductor at t = 1.45 ms .

Expert Solution

If the capacitor is fully charged, the total charge stored in the capacitor initially

And if the power is disconnected from the circuit and the capacitor is connected in series with an inductor, then from the Kirchoff law, the equation for the LC circuit is




where,


And the general solution is

And the current through the circuit is

And given the initial condition

And

And so, the electric charge is

And so,

And so, the energy stored in the inductor at any arbitrary time t is

genius_generous answered 2 years ago

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