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

An emf of voltage is applied to the RC circuit of Fig. 2.7.8 at time t = 0 (with the switch closed), and Q(0) = 0. Substitute in the differential equation to show that the steady periodic charge on the capacitor is