The LCR circuit of Figure 11.8 consists of a resistor R, a capacitor C and an inductor L connected in series together with a voltage source e(t). Prior to closing the switch at time t = 0, both the charge on the capacitor and the resulting current in the circuit are zero. Determine the charge q(t) on the capacitor and the resulting current i(t) in the circuit at time t, given that

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R = 160, L = 1H, C = 10 F and e(t) = 20 V.