A charged capacitor with C = 780 F is connected in series to an inductor that ha

Question

A charged capacitor with C = 780 F is connected in series to an inductor that has L = 0.380 H and negligible resistance. At an instant when the current in the inductor is i = 1.80 A , the current is increasing at a rate of di/dt=89.0A/s.

Part A

During the current oscillations, what is the maximum voltage across the capacitor?

Express your answer to three significant figures and include the appropriate units.

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A charged capacitor with C = 780 F is connected in series to an inductor that has L = 0.380 H and negligible resistance. At an instant when the current in the inductor is i = 1.80 A , the current is increasing at a rate of di/dt=89.0A/s.

Part A

During the current oscillations, what is the maximum voltage across the capacitor?

Express your answer to three significant figures and include the appropriate units.

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Explanation / Answer

by using the formula

0.5 * L * i^2 = 0.5 * C * V^2

0.38 * 1.8^2 = 780 * 10^-6 * V^2

solve for V

V = 39.8 volts

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