Chapter 3.5, Problem 4E

If the resistance in the $RL$ circuit of Figure $3.13\left(a\right)$ is zero, show that the current $I\left(t\right)$ is directly proportional to the integral of the applied voltage $E\left(t\right)$. Similarly, show that if the resistance in the $RC$ circuit of Figure $3.13\left(b\right)$ is zero, the current is directly proportional to the derivative of the applied voltage.