The circuit shown in Figure DP 5-4a has four unspecified circuit parameters: vs, R1, R2

Chapter 5, Problem DP5-4

(choose chapter or problem)

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 \(R_1\) = \(R_2\).

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