If the resistance in the RL circuit of Figure 3.13(a) is zero, show that the current I t...

If the resistance in the RL circuit of Figure 3.13(a) is zero, show that the current I t is directly proportional to the integral of the applied voltage E( t) . Similarly show that if the resistance in the RC circuit of Figure 3.13(b) is zero, the current is directly proportional to the derivative of the applied voltage. (In engineering applications, it is often necessary to generate a voltage, rather than a current, which is the integral or derivative of another voltage. Group Project E shows how this is accomplished using an operational amplifier.)