The OP AMP circuit of Figure P8-41 has \(\mathbf{V}_{\mathrm{S}}=2 \angle-15^{\circ} \mathrm{V}, Z_{\mathrm{S}}=50 \angle+30^{\circ} \Omega, Z_{\mathrm{F}}=100 \angle-45^{\circ} \Omega\), and a \(V_{\mathrm{CC}}\) of \(\pm 15 \mathrm{~V}\).

(a) Find the output voltage \(\mathbf{V}_{\mathrm{O}}\) across and the current \(\mathbf{I}_{\mathrm{O}}\) through \(Z_{\mathrm{L}}\) when it is \(1000 \angle 0^{\circ} \Omega\).

(b) Find the output voltage \(\mathbf{V}_{\mathrm{O}}\) across and the current \(\mathbf{I}_{\mathrm{O}}\) through \(Z_{\mathrm{L}}\) when it is \(500 \angle-90^{\circ} \Omega\).

(c) image Explain what would happen to the output if the input voltage is \(\mathbf{V}_{\mathrm{S}}=9 \angle \mathrm{O}^{\circ} \mathrm{V}\).