Repeat Problem 15-20 with \(v_{\mathrm{S}}(t)=10 \cos 2000 t \mathrm{~V}\).

Data From Problem 15-20

15-20 The input voltage to the transformer in Figure \(\mathrm{P} 15-20\) is a \(\operatorname{sinusoid} v_{\mathrm{S}}(t)=339 \sin (314 t) \mathrm{V}\). With the circuit operating in the sinusoidal steady state, transform the circuit into the phasor domain and write mesh-current equations. Solve for the mesh currents and find the output voltage \(\mathbf{V}_{2}\) and the input impedance \(Z_{\mathrm{IN}}\).

vs(t) ZIN + 50 30 mH 60 mH 120 mH + 12(1) 600