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Question

a circuit has in series an electromotive force given by E(t) = 80cos(t) volts, an inductance of 4 henry, a resistance of 8 ohms, and a capacitance of 0.05 farad. the initial current is 0 and the initial charge is 8 coulombs.

(a) find the equation for the charge on the capacitor as a function of time

(b) find the equation of the current in the system as a function of time.