Solved: In the circuit shown in Fig. 8.1, a 20 mH inductor is shunted by a 500 nF

Chapter 8, Problem 8.8

(choose chapter or problem)

In the circuit shown in Fig. 8.1, a 20 mH inductor is shunted by a 500 nF capacitor, the resistor R is adjusted for critical damping, and \(I_{0}=120 \mathrm{~mA}\).

a) Calculate the numerical value of R.

b) Calculate v(t) for \(t \geq 0\).

c) Find v(t) when \(i_{C}(t)=0\).

d) What percentage of the initially stored energy remains stored in the circuit at the instant \(i_{C}(t)\) is 0?

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