(a) Find the driving point impedance seen by the voltage source in Figure P11-1 and the voltage transfer function \(T_{\mathbf{V}}(s)=V_{\mathbf{2}}(s) / V_{1}(s)\).

(b) Select values of \(R\) and \(C\) so that the transfer function has a zero at \(-1 \mathrm{krad} / \mathrm{s}\) and a pole at \(-500 \mathrm{rad} / \mathrm{s}\).