Solved: A series circuit contains an inductance of L 1 h, a capacitance of C 104 f, and

Chapter 3, Problem 49

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A series circuit contains an inductance of L = 1 h, a capacitance of \(C=10^{-4} \ f\), and an electromotive force of E(t) = 100 sin 50t V. Initially the charge q and current i are zero.

(a) Find the equation for the charge at time t.

(b) Find the equation for the current at time t.

(c) Find the times for which the charge on the capacitor is zero.

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