V₂ + R₁ R2. M2 M3 R3 R4 M R5 M1 R6 R7 With the given KVL equations for each mesh, we can set up the following matrix equation: O(R4 R5 R6 + R7) -R5 IMI 0 = -R5 (R₁ + R₂ + R3 + R4) IM3 Vs о (R4 + R5 + R6 + R7) -R5 -RA IM1 0 -R5 (R₂ + R5) -R2 IM2 = Vs -R4 -R₂ (R₁ + R₂+ R3 + R4) IM3 0 (R4 R5 R6 R7) -R5 -R5 (R₂ + R5) -RA 0 IM1 0 IM2 = Vs ༠། ་ -R4 -(R4 R5 R6 + R7) 0 (R₁ + R₂+ R3 + R4) IM3 -R5 -R₁ IMI -R5 -(R₂+ R5) -R2 IM2 == -RA -R₂ (-R₁ + R₂+ R3 + IMз Vs IM1 R1 Vs 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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09.5

V₂
+
R₁
R2.
M2
M3
R3
R4
M
R5
M1
R6
R7
Transcribed Image Text:V₂ + R₁ R2. M2 M3 R3 R4 M R5 M1 R6 R7
With the given KVL equations for each mesh, we can set up the following matrix equation:
O(R4 R5 R6 + R7)
-R5
IMI
0
=
-R5
(R₁ + R₂ + R3 + R4) IM3
Vs
о
(R4 + R5 + R6 + R7)
-R5
-RA
IM1
0
-R5
(R₂ + R5)
-R2
IM2
=
Vs
-R4
-R₂
(R₁ + R₂+ R3 + R4)
IM3
0
(R4 R5 R6 R7)
-R5
-R5
(R₂ + R5)
-RA
0
IM1
0
IM2
=
Vs
༠། ་
-R4
-(R4 R5 R6 + R7)
0
(R₁ + R₂+ R3 + R4)
IM3
-R5
-R₁
IMI
-R5
-(R₂+ R5)
-R2
IM2
==
-RA
-R₂
(-R₁ + R₂+ R3 +
IMз
Vs
IM1 R1
Vs
0
Transcribed Image Text:With the given KVL equations for each mesh, we can set up the following matrix equation: O(R4 R5 R6 + R7) -R5 IMI 0 = -R5 (R₁ + R₂ + R3 + R4) IM3 Vs о (R4 + R5 + R6 + R7) -R5 -RA IM1 0 -R5 (R₂ + R5) -R2 IM2 = Vs -R4 -R₂ (R₁ + R₂+ R3 + R4) IM3 0 (R4 R5 R6 R7) -R5 -R5 (R₂ + R5) -RA 0 IM1 0 IM2 = Vs ༠། ་ -R4 -(R4 R5 R6 + R7) 0 (R₁ + R₂+ R3 + R4) IM3 -R5 -R₁ IMI -R5 -(R₂+ R5) -R2 IM2 == -RA -R₂ (-R₁ + R₂+ R3 + IMз Vs IM1 R1 Vs 0
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