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A 16.0-F capacitor is charged by a 150.0-V power supply, then disconnected from

ID: 1795128 • Letter: A

Question

A 16.0-F capacitor is charged by a 150.0-V power supply, then disconnected from the power and connected in series with a 0.260-mH inductor.

a )Calculate the oscillation frequency of the circuit.

Express your answer with the appropriate units.

Part B

Calculate the energy stored in the capacitor at time t=0 ms (the moment of connection with the inductor).

Express your answer with the appropriate units.

Part C

Calculate the energy stored in the inductor at t = 1.30 ms.

Express your answer with the appropriate units.

Explanation / Answer

Oscillation frequency will be

w = sqrt (1/lc)

w = 15 rad/s

Energy stored will be

E = 1/2 cV^2 = 0.18 J

Current after 1.3 ms will be

I = Io cos (wt) = Io * 0.94

And energy stored will be

E = 1/2 L I^2

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