The circuit shown in Figure DP 5-1a has four unspecified circuit parameters: vs, R1, R2

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 \(i_3=0 \mathrm{~A}\).

The pair of terminals a–b partitions the circuit in Figure SP 5-2 into two parts. Denote the node voltages at nodes 1 and 2 as \(v_1\) and \(v_2\). Use PSpice to demonstrate that performing a source transformation on the part of the circuit to the left of the terminal does not change anything to the right of the terminals. In particular, show that the current \(i_o\) and the node voltages \(v_1\) and \(v_2\) have the same values after the source transformation as before the source transformation.

Use PSpice to find the Thevenin equivalent circuit for the circuit shown in Figure SP 5-3.

The circuit shown in Figure SP 5-4b is the Norton equivalent circuit of the circuit shown in Figure SP 5-4a. Find the value of the short-circuit current \(i_{sc}\) and Thevenin resistance \(R_t\).

The circuit shown in Figure DP 5-1a has four unspecified circuit parameters: \(v_s\), \(R_1\), \(R_2\), and \(R_3\). To design this circuit, we must specify the values of these four parameters. The graph shown in Figure DP 5-1b describes a relationship between the current i and the voltage v. Specify values of \(v_s\), \(R_1\), \(R_2\), and \(R_3\) that cause the current i and the voltage v in Figure DP 5-1a to satisfy the relationship described by the graph in Figure DP 5-1b. First Hint: The equation representing the straight line in Figure DP 5-1b is \(v = - R_{t}i + v_{oc}\) That is, the slope of the line is equal to 1 times the Thevenin resistance, and the v-intercept is equal to the open-circuit voltage. Second Hint: There is more than one correct answer to this problem. Try setting \(R_1 = R_2\).

The circuit shown in Figure DP 5-2a has four unspecified circuit parameters: \(i_s\), \(R_1\), \(R_2\), and \(R_3\). To design this circuit, we must specify the values of these four parameters. The graph shown in Figure DP 5-2b describes a relationship between the current i and the voltage v. Specify values of \(i_s\), \(R_1\), \(R_2\), and \(R_3\) that cause the current i and the voltage v in Figure DP 5-2a to satisfy the relationship described by the graph in Figure DP 5-2b. First Hint: Calculate the open-circuit voltage \(v_{oc}\) and the Thevenin resistance Rt, of the part of the circuit to the left of the terminals in Figure DP 5-2a. Second Hint: The equation representing the straight line in Figure DP 5-2b is \(v = - R_{t}i + v_{oc}\) That is, the slope of the line is equal to 1 times the Thevenin resistance, and the v-intercept is equal to the open-circuit voltage. Third Hint: There is more than one correct answer to this problem. Try setting both \(R_3\) and \(R_1\) + \(R_2\) equal to twice the slope of the graph in Figure DP 5-2b.

The circuit shown in Figure DP 5-3a has four unspecified circuit parameters: \(v_s\), \(R_1\), \(R_2\), and \(R_3\). To design this circuit, we must specify the values of these four parameters. The graph shown in Figure DP 5-3b describes a relationship between the current i and the voltage v. Is it possible to specify values of \(v_s\), \(R_1\), \(R_2\), and \(R_3\) that cause the current i and the voltage v in Figure DP 5-1a to satisfy the relationship described by the graph in Figure DP 5-3b? Justify your answer.

The circuit shown in Figure DP 5-4a has four unspecified circuit parameters: \(v_s\), \(R_1\), \(R_2\), and d, where d is the gain of the CCCS. To design this circuit, we must specify the values of these four parameters. The graph shown in Figure DP 5-4b describes a relationship between the current i and the voltage v. Specify values of \(v_s\), \(R_1\), \(R_2\), and d that cause the current i and the voltage v in Figure DP 5-4a to satisfy the relationship described by the graph in Figure DP 5-4b. First Hint: The equation representing the straight line in Figure DP 5-4b is \(v = - R_{t}i + v_{oc}\) That is, the slope of the line is equal to 1 times the Thevenin resistance and the v-intercept is equal to the open-circuit voltage. Second Hint: There is more than one correct answer to this problem. Try setting \(R_1\) = \(R_2\).