The circuit in Figure SP 5-1 has three inputs: v1, v2, and i3. The circuit has one

Chapter 5, Problem SP5.1

(choose chapter or problem)

The circuit in Figure SP 5-1 has three inputs: \(v_1, v_2\), and \(i_3\). The circuit has one output, \(v_0\). The equation

\(v_0=a v_1+b v_2+c i_3\)

expresses the output as a function of the inputs. The coefficients a, b, and c are real constants.

(a) Use PSpice and the principle of superposition to determine the values of a, b, and c.

(b) Suppose \(v_1=10 \mathrm{~V}\) and \(v_2=8 \mathrm{~V}\), and we want the output to be \(v_0=7 \mathrm{~V}\). What is the required value of \(i_3\)?

Hint: The output is given by \(v_{\mathrm{o}}=a\) when \(v_1=1 \mathrm{~V}, v_2=0 \mathrm{~V}\), and \(i_3=0 \mathrm{~A}\).

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