Chapter 3, Problem 3.31P

To determine

To show:

The differential equation of a single-loop RCL electrical network with output response as $I\left(t\right)$ and input response as $\dot{E}\left(t\right)$ is, $L\frac{d^{2}I}{d{t}^2}+R\frac{dI}{dt}+\frac{I}{C}=\dot{E}\left(t\right)$.

Also, obtain the values of damping ratio and natural frequency of this system. Plot the steady output signal and input signal of the given system.