Q. 71

Expert-verifiedFound in: Page 874

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

71. II An LC circuit is built with a inductor and an capacitor. The capacitor voltage has its maximum value of at .

a. How long is it until the capacitor is first fully discharged?

b. What is the inductor current at that time?

Part (a) The time taken to discharge the capacitor is .

Part (b) The inductor current at that time is .

The general equation for angular velocity is the square root of the product of the capacitance of the capacitor and inductance of the inductor.

The general relationship between angular frequency and period is,

Here, C is the capacitor and L is the inductor, T is time

After rearranging

The time taken to completely discharge the capacitor is equal to one half the time periods.

Hence, the time taken to discharge the capacitor is

The energy stored in the capacitor is,

The energy stored in the inductor is,

Equate the potential energy stored in the capacitor is equal to potential energy stored in inductor.

Hence, the inductor current at that time is

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