Use the Dummy Mesh Current Analysis to set up the matrix equation necessary for solving for the unknown mesh currents. R₁ w R₂ W R3. M1 VS1 R4 ☐ M2 R8 R5 V82. R6 M4 M3 R W R9 Set up the matrix equation: (R₁ + R3 + R4) -RA 0 0 -RA (R4 + R5 + R8) 0 IMI VS2 -R5 0 IM2 +Vs2 == -R5 (R2 + R5 + R6 + R7) -(R6 + R7) IMз 0 0 0 -(R6 + R7) (R6 R7 Rg). IMA -VS1 0 IMI -V$1 [ (R₁ + R3 + R4 + V51) -R4 -R4 (R4 + R5 + R8) 0 0 IM2 +VS1 -R5 = 0 0 -R5 0 (R₂+ R5 + R6 + R7 - Vs1) -(R6 + R7) IM3 0 -(R6 + R7) (R6 R7 R9 +Vs2). IMA -VS2 0 (R₁ + R3 + R4) -RA -RA (R4 + R5 + R8) 0 -VS1 IM -R5 0 +VS1 IM2 - 0 0 -R5 0 (R2 + R5 + R6 + R7) -(R6 + R7) -(R6 + R7) (R6 R7 Rg) -VS2 0 (R₁ + R3 + R4) -RA -RA (R4 R5 + R8) 0 -R5 IMI 0 IM2 = 0 -R5 (R₂ + R5 + R6 + R7) -(R6 + R7) Iм3 IMз IM4 Vsi +VS₁ 0 0 0 -(R6 + R7) (R6 + R7 + Rg) IMA 0 (R₁ + R3 + R4) -RA -R4 -(R4 + R5) 0 (R4 + R5 + R8) 0 -R5 IMI -VS1 -(R4 + R$) IM2 = -R5 0 (R2 + R5 + R6 + R7) -(R6 + R7) IM3 -(R6 + R7) (R6 + R7 + Rg) IMA +Vsi 0 -VS2 0 [(R₁ + R3 + R4) -R4 -(R4 + R5) 0 -RA (R4 + R5 + R8) 0 -R5 IMI -VS1 -(R4 + R5) IM2 0 = -R5 (R2 + R5 + R6 + R7) -(R6 + R7) IMз 0 -(R6 + R7) (R6 + R7 + Rg) IMA 0 0
Use the Dummy Mesh Current Analysis to set up the matrix equation necessary for solving for the unknown mesh currents. R₁ w R₂ W R3. M1 VS1 R4 ☐ M2 R8 R5 V82. R6 M4 M3 R W R9 Set up the matrix equation: (R₁ + R3 + R4) -RA 0 0 -RA (R4 + R5 + R8) 0 IMI VS2 -R5 0 IM2 +Vs2 == -R5 (R2 + R5 + R6 + R7) -(R6 + R7) IMз 0 0 0 -(R6 + R7) (R6 R7 Rg). IMA -VS1 0 IMI -V$1 [ (R₁ + R3 + R4 + V51) -R4 -R4 (R4 + R5 + R8) 0 0 IM2 +VS1 -R5 = 0 0 -R5 0 (R₂+ R5 + R6 + R7 - Vs1) -(R6 + R7) IM3 0 -(R6 + R7) (R6 R7 R9 +Vs2). IMA -VS2 0 (R₁ + R3 + R4) -RA -RA (R4 + R5 + R8) 0 -VS1 IM -R5 0 +VS1 IM2 - 0 0 -R5 0 (R2 + R5 + R6 + R7) -(R6 + R7) -(R6 + R7) (R6 R7 Rg) -VS2 0 (R₁ + R3 + R4) -RA -RA (R4 R5 + R8) 0 -R5 IMI 0 IM2 = 0 -R5 (R₂ + R5 + R6 + R7) -(R6 + R7) Iм3 IMз IM4 Vsi +VS₁ 0 0 0 -(R6 + R7) (R6 + R7 + Rg) IMA 0 (R₁ + R3 + R4) -RA -R4 -(R4 + R5) 0 (R4 + R5 + R8) 0 -R5 IMI -VS1 -(R4 + R$) IM2 = -R5 0 (R2 + R5 + R6 + R7) -(R6 + R7) IM3 -(R6 + R7) (R6 + R7 + Rg) IMA +Vsi 0 -VS2 0 [(R₁ + R3 + R4) -R4 -(R4 + R5) 0 -RA (R4 + R5 + R8) 0 -R5 IMI -VS1 -(R4 + R5) IM2 0 = -R5 (R2 + R5 + R6 + R7) -(R6 + R7) IMз 0 -(R6 + R7) (R6 + R7 + Rg) IMA 0 0
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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Question
2.1
Transcribed Image Text:Use the Dummy Mesh Current Analysis to set up the matrix equation necessary for solving for the unknown mesh currents.
R₁
w
R₂
W
R3.
M1
VS1
R4
☐
M2
R8
R5
V82.
R6
M4
M3
R
W
R9
Set up the matrix equation:
(R₁ + R3 + R4)
-RA
0
0
-RA
(R4 + R5 + R8)
0
IMI
VS2
-R5
0
IM2
+Vs2
==
-R5
(R2 + R5 + R6 + R7)
-(R6 + R7)
IMз
0
0
0
-(R6 + R7)
(R6 R7 Rg).
IMA
-VS1
0
IMI
-V$1
[ (R₁ + R3 + R4 + V51)
-R4
-R4
(R4 + R5 + R8)
0
0
IM2
+VS1
-R5
=
0
0
-R5
0
(R₂+ R5 + R6 + R7 - Vs1)
-(R6 + R7)
IM3
0
-(R6 + R7)
(R6
R7 R9 +Vs2).
IMA
-VS2
0
(R₁ + R3 + R4)
-RA
-RA
(R4 + R5 + R8)
0
-VS1
IM
-R5
0
+VS1
IM2
-
0
0
-R5
0
(R2 + R5 + R6 + R7)
-(R6 + R7)
-(R6 + R7)
(R6 R7 Rg)
-VS2
0
(R₁ + R3 + R4)
-RA
-RA
(R4
R5 + R8)
0
-R5
IMI
0
IM2
=
0
-R5
(R₂ + R5 + R6 + R7)
-(R6 + R7)
Iм3
IMз
IM4
Vsi
+VS₁
0
0
0
-(R6 + R7)
(R6 + R7 + Rg)
IMA
0
(R₁ + R3 + R4)
-RA
-R4
-(R4 + R5)
0
(R4 + R5 + R8)
0
-R5
IMI
-VS1
-(R4 + R$)
IM2
=
-R5
0
(R2 + R5 + R6 + R7)
-(R6 + R7)
IM3
-(R6 + R7)
(R6 + R7 + Rg)
IMA
+Vsi
0
-VS2
0
[(R₁ + R3 + R4)
-R4
-(R4 + R5)
0
-RA
(R4 + R5 + R8)
0
-R5
IMI
-VS1
-(R4 + R5)
IM2
0
=
-R5
(R2 + R5 + R6 + R7)
-(R6 + R7)
IMз
0
-(R6 + R7)
(R6 + R7 + Rg)
IMA
0
0
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