Use the Dummy Node Voltage Analysis algorithm to solve for the unknown node voltages. ^^

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Set up the matrix equation symbolically using the dummy node voltage analysis algorithm.
+ +
R₁ R₂
-
R₁
R5
R₁+R₂ + ₁
+ +
R₁+R₂
******
R5
1
R₁+R₂
-
******
R5
1
R₁+R₂
-1₁-²6
R5
R6
1
R₁+R₂
R₁+R₂ + ₁
R4
R₂
1
R₁+R2
+
R5 Re
+
1
R₁+R₂
+
1
R5
-25-²6
R5
R6
R5
R5
R5
+
R₁+R₂ + ₁ R5
R5
-
R5
+
1
1
R5
0
1
-2²
R5
1
R5
+
0
1
R5
R5
1
1
0
0
R5
R5
-
-
Re
R6
R6
-
-2 -2 -2
+
-2 -2 -2
-2²
+ 1
Re
R6
+
R₁
R₁ R₂
1
R₁+R₂
1
R₁+R₂
0
1
R₁+R₂
+
1
R₁+R₂
0
+
R5 Re R₁+R₂
0
1
R₁+R₂
1
R₁+R₂
R$
1
R.5 R6
R$
1
R₁+R₂
R₁+R₂
+
+ 1₂.
Rs
1
R5 R6
+
R$
+
R₁+R₂
R₁ - RS
R5
R$
1
R3
VA
VB
Vc.
VA
VB
Vc
VA
Isi
A-A
=
VB
IS2
Vc.
- Isi
VA
VB
Vc.
VA
VA
VB
Vc.
VB
-[:]
=
0
=
Vc.
Isı
IS2
- IS₁
-1.
=
=
0
IS2
- Isı
IS1
IS2
- Isı
- [18]
0
Transcribed Image Text:Set up the matrix equation symbolically using the dummy node voltage analysis algorithm. + + R₁ R₂ - R₁ R5 R₁+R₂ + ₁ + + R₁+R₂ ****** R5 1 R₁+R₂ - ****** R5 1 R₁+R₂ -1₁-²6 R5 R6 1 R₁+R₂ R₁+R₂ + ₁ R4 R₂ 1 R₁+R2 + R5 Re + 1 R₁+R₂ + 1 R5 -25-²6 R5 R6 R5 R5 R5 + R₁+R₂ + ₁ R5 R5 - R5 + 1 1 R5 0 1 -2² R5 1 R5 + 0 1 R5 R5 1 1 0 0 R5 R5 - - Re R6 R6 - -2 -2 -2 + -2 -2 -2 -2² + 1 Re R6 + R₁ R₁ R₂ 1 R₁+R₂ 1 R₁+R₂ 0 1 R₁+R₂ + 1 R₁+R₂ 0 + R5 Re R₁+R₂ 0 1 R₁+R₂ 1 R₁+R₂ R$ 1 R.5 R6 R$ 1 R₁+R₂ R₁+R₂ + + 1₂. Rs 1 R5 R6 + R$ + R₁+R₂ R₁ - RS R5 R$ 1 R3 VA VB Vc. VA VB Vc VA Isi A-A = VB IS2 Vc. - Isi VA VB Vc. VA VA VB Vc. VB -[:] = 0 = Vc. Isı IS2 - IS₁ -1. = = 0 IS2 - Isı IS1 IS2 - Isı - [18] 0
Use the Dummy Node Voltage Analysis algorithm to solve for the unknown node voltages.
NR₂
B
A
R5
R₁
M
C
IS1
R₂
R3
ма
R₁
сли
Reference Node (D)
↑
52
Transcribed Image Text:Use the Dummy Node Voltage Analysis algorithm to solve for the unknown node voltages. NR₂ B A R5 R₁ M C IS1 R₂ R3 ма R₁ сли Reference Node (D) ↑ 52
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