An emf of voltage E.t / D E0 cos !t is applied to the RC

Chapter , Problem 10

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An emf of voltage E.t / D E0 cos !t is applied to the RC circuit of Fig. 3.7.8 at time t D 0 (with the switch closed), and Q.0/ D 0. Substitute Qsp.t / D A cos !t C B sin !t in the differential equation to show that the steady periodic charge on the capacitor is Qsp.t / D E0C p1 C !2R2C2 cos.!t / where D tan1.!RC /.

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