Solution: The circuit shown in Figure SP 10-1 has two inputs, vs(t) and is(t), and one

Chapter 10, Problem SP10-4

(choose chapter or problem)

The circuit shown in Figure SP 10-1 has two inputs, \(v_s(t)\) and \(i_s(t)\), and one output, v(t). When inputs are given by

                                                                    \(v_{\mathrm{s}}(t)=V_{\mathrm{m}} \sin 6 t \mathrm{~V}\)

and

                                                                             \(i_{\mathrm{s}}(t)=I_{\mathrm{m}} \mathrm{A}\)

the output will be

                                                                   \(v_{\mathrm{o}}(t)=A \sin (6 t+\theta)+B \mathrm{~V}\)

Linearity requires that A be proportional to \(V_{\mathrm{m}}\) and that B be proportional to \(I_{\mathrm{m}}\). Consequently, we can write \(A=k_1 V_{\mathrm{m}}\) and \(B=k_2 I_{\mathrm{m}}\), where \(k_1\) and \(k_2\) are constants yet to be determined.

(a) Use PSpice to determine the value of \(k_1\) by simulating the circuit, using \(V_{\mathrm{m}}=1 \mathrm{~V}\) and \(I_{\mathrm{m}}=0\).

(b) Use PSpice to determine the value of \(k_2\) by simulating the circuit, using \(V_{\mathrm{m}}=0 \mathrm{~V}\) and \(I_{\mathrm{m}}=1\).

(c) Knowing \(k_1\) and \(k_2\), specify the values of \(V_{\mathrm{m}}\) and \(I_{\mathrm{m}}\) that are required to cause

                                                                    \(v_{\mathrm{o}}(t)=5 \sin (6 t+\theta)+5 \mathrm{~V}\)

Simulate the circuit, using PSpice to verify the specified values of \(V_{\mathrm{m}}\) and \(I_{\mathrm{m}}\).