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1. Use Nodal Analysis to find V₁, V2, V3, V4 and Vx in the circuit shown in Figure 1. 1 ΚΩ ; V₂ 2V + www 1 ΚΩ 1 ΚΩ V₁ +12 V V3 1 ΚΩ 1 ΚΩ V4 1 ΚΩ 6 mA + 21x 1 kn ZVx Figure 1 a. Identify Supernode in the circuit and show it with a dotted box on Figure 1. b. Provide KCL equation at Supernode. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3 + V₁ + Vx = V₁ + V₂ + c. Provide KVL equation at Supernode. d. Provide KCL equation Node 2. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V₁ + V₂ + V3+ V₁ + Vx = e. Setup 4 linear equations for the variables, V₁, V2, V3 and V4 (note - eliminate Vx) and solve for V₁, V2, V3 and V4 (you may use any of the methods including matrix analysis or substitution and elimination).

1. Use Nodal Analysis to find V₁, V2, V3, V4 and Vx in the circuit shown in Figure 1. 1 ΚΩ ; V₂ 2V + www 1 ΚΩ 1 ΚΩ V₁ +12 V V3 1 ΚΩ 1 ΚΩ V4 1 ΚΩ 6 mA + 21x 1 kn ZVx Figure 1 a. Identify Supernode in the circuit and show it with a dotted box on Figure 1. b. Provide KCL equation at Supernode. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3 + V₁ + Vx = V₁ + V₂ + c. Provide KVL equation at Supernode. d. Provide KCL equation Node 2. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V₁ + V₂ + V3+ V₁ + Vx = e. Setup 4 linear equations for the variables, V₁, V2, V3 and V4 (note - eliminate Vx) and solve for V₁, V2, V3 and V4 (you may use any of the methods including matrix analysis or substitution and elimination).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. Use Nodal Analysis to find V₁, V2, V3, V4 and Vx in the circuit shown in Figure 1. 1 ΚΩ ; V₂ 2V + 1 ΚΩ 1 ΚΩ V₁ +12 V V3 ww 1 ΚΩ Io ΣΥΚΩ V4 1 ΚΩ + 21x 1 kn Vx Figure 1 a. Identify Supernode in the circuit and show it with a dotted box on Figure 1. b. Provide KCL equation at Supernode. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3+ V4+ √x = Vx 6 mA V₁ + V₂ + c. Provide KVL equation at Supernode. d. Provide KCL equation Node 2. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3+ V₁ + √x Vx V₁ + V₂ + e. Setup 4 linear equations for the variables, V₁, V2, V3 and V4 (note - eliminate Vx) and solve for V₁, V2, V3 and V4 (you may use any of the methods including matrix analysis or substitution and elimination). =
Transcribed Image Text:1. Use Nodal Analysis to find V₁, V2, V3, V4 and Vx in the circuit shown in Figure 1. 1 ΚΩ ; V₂ 2V + 1 ΚΩ 1 ΚΩ V₁ +12 V V3 ww 1 ΚΩ Io ΣΥΚΩ V4 1 ΚΩ + 21x 1 kn Vx Figure 1 a. Identify Supernode in the circuit and show it with a dotted box on Figure 1. b. Provide KCL equation at Supernode. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3+ V4+ √x = Vx 6 mA V₁ + V₂ + c. Provide KVL equation at Supernode. d. Provide KCL equation Node 2. (Arrange the equation in terms of variables V₁, V2, V3 and V4 with their respective coefficients) V3+ V₁ + √x Vx V₁ + V₂ + e. Setup 4 linear equations for the variables, V₁, V2, V3 and V4 (note - eliminate Vx) and solve for V₁, V2, V3 and V4 (you may use any of the methods including matrix analysis or substitution and elimination). =
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