Consider the circuit of Figure P14.42.
(a) Compute the transfer function. (It should be first order.)
(b) Find an expression for the natural response of the circuit.
(c) Suppose that for t = 0-, each capacitor voltage is 1 V and the inductor current is zero. Compute the zero-input response.
Observe that this response has a steady-state part. This phenomenon illustrates why equations 14.7 require more than just a stable transfer function as an underlying assumption. It is necessary that the transfer function include all the dynamics of the circuit, which is not the circuit of Figure P14.42
