The circuit shown in Figure DP 5-2a has four unspecified circuit parameters: is, R1, R2

Chapter 5, Problem DP5-2

(choose chapter or problem)

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.