Problem deal with the RC circuit in Fig. 2.7.8, containing a resistor (It ohms), a capac...

Problem deal with the RC circuit in Fig. 2.7.8, containing a resistor (It ohms), a capacitor (C farads), a switch, a source of alit but no inductor. Substitution of L = 0 in Eq. (3) gives the linear first-order differential equation

for the charge Q = Q(t) on the capacitor at time t. Note that

Suppose that in the circuit of Fig. 2.7.8, R = 200, Q(0) = 0, and E(t) = 100 cos 120t. (a) Find Q(t) and I(t). (b) What is the amplitude of the steady-state current?