To determine Find the Thevenin voltage and Thevenin resistance at terminals a-b of the given circuit. Explanation Given data: Refer to Figure given in the textbook. The current source is 4 A. Calculation: The given circuit is modified as shown in Figure 1 to find the Thevenin voltage. In Figure 1, apply Kirchhoff’s current law at node voltage v as follows. ( v 60 ) + ( v − ( V Th + 160 i Δ ) 20 ) − 4 = 0 (1) In Figure 1, the constraint equation due to the dependent source is as follows. i Δ = V Th 40 (2) Substitute equation (2) in equation (1) as follows, v 60 + v − ( V Th + 160 ( V Th 40 ) ) 20 − 4 = 0 v 60 + v 20 − ( V Th + 4 V Th 20 ) = 4 0.0167 v + 0.05 v − 0.25 V Th = 4 0.0667 v − 0.25 V Th = 4 (3) Simplify equation (3) as follows, 0.0667 v = 4 + 0.25 V Th v = 4 + 0.25 V Th 0.0667 v = 59.97 + 3.75 V Th (4) In Figure 1, apply Kirchhoff’s current law at node voltage V Th as follows. ( V Th 40 ) + ( V Th 80 ) + ( V Th + 160 i Δ − v 20 ) = 0 (5) Substitute equation (2) in equation (5). ( V Th 40 ) + ( V Th 80 ) + ( V Th + 160 ( V Th 40 ) − v 20 ) = 0 0.025 V Th + 0.0125 V Th + 0.05 V Th + 0.2 V Th = 0.05 v 0.2875 V Th = 0.05 v Rearrange the equation as follows, V Th = 0

Electric Circuits, Student Value Edition Format: Unbound (saleable)

11th Edition

ISBN: 9780134747170

Author: NILSSON, James W.^riedel, Susan

Publisher: Prentice Hall

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Chapter 4.11, Problem 20AP

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Find the Thevenin voltage and Thevenin resistance at terminals a-b of the given circuit.

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Chapter 4.11, Problem 19AP

Chapter 4.12, Problem 21AP

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