Problem Set 4 Chapter 5: Circuit Theorems Due: see website for due dates P 5.2-3 Find vo using source transformations if i = 2.5 A in the circuit shown. Solution: 28V P 5.2-7 Use source transformations to simplify the circuit to determine the power supplied by the 8V-source. Is the source active or passive? Solution: - 4.14 W P 5.3-6 Use superposition to find i for the circuit. Solution: 3.5 mA 1 P 5.4-3 Find the Thévenin equivalent circuit for the circuit. Solution: 4, 2V P 5.4-5 Find the Thévenin equivalent circuit for the circuit shown. Solution: -8/3, -2V P 5.4-16 Replace the part of the circuit to the left of terminals a–b by its Thévenin equivalent circuit. Now determine the value of the current io. Solution: 12.5 mA P 5.5-10 Find the Norton equivalent circuit. Solution: -18, 0.5A 2 P 5.6-6 Determine the maximum power that can be absorbed by a resistor, R, connected to terminals a–b of the circuit shown. Specify the required value of R. Solution: 50, 2W DP 5-4 The circuit shown has four unspecified circuit parameters: vs, R1, R2, 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 describes a relationship between the current i and the voltage v. Specify values of vs, R1, R2, and d that cause the current i and the voltage v to satisfy the relationship described by the graph. Solution: -3.08V, 1k, 1k, -3.6 First Hint: The equation representing the straight line in graph is “v RThi + vOC.” That is, the slope of the line is equal to −1 times the Thévenin 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 R1 = R2. 3 Challenge Problem 4A Use Thévenin’s theorem to find i0 in the circuit. Challenge Problem 4B Use Thévenin’s theorem to find v0 in the circuit. Challenge Problem 4C Use Thévenin’s theorem to find the power of the 12V-source. Is it active or passive? Challenge Problem 4D Use PSpice to check your answers for P 5.4-5. 4