Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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).
=
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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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