Consider a battery of constant voltage E0 that charges the capacitor shown in Figure
Chapter 7, Problem 35(choose chapter or problem)
Consider a battery of constant voltage E0 that charges the capacitor shown in Figure 7.3.9. Divide equation (20) by L and define 2l RL and v2 1LC. Use the Laplace transform to show that the solution q(t) of q 2lq v2 q E0 L subject to q(0) 0, i(0) 0 is q(t) E0C 1 e t (cosh 12 2 t 12 2 sinh 12 2t) , , E0C[1 e t (1 t)], , E0C 1 e t (cos 12 2t 12 2 sin 12 2t) , . L d2 q
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