Consider the circuit shown below initial energy storage is

Question

1) Consider the circuit shown below, initial energy storage is zero.

a) Find the transfer function of this circuit, the input is the voltage source, the output is the voltage across the capacitor.

b) Find and plot the poles and zeros of the transfer function.

c) Let the voltage source be vg = 50 t u(t), use the transfer function to find v_o.

d) Identify the transient response.

e) Identify the steady state response.

2) Find the convolution of the following signals.