Problem 03.072 - Mesh analysis with matrix By inspection, write the mesh-current equations for the given circuit where R = 2102 R -10 0 40V The mesh-current R11 0 0 R22 0 -30 where R11 R44 + 10 ΩΣ -10 0 0 -30 15 V R33 R34 R43 R44 + R R equations in matrix form are given by 40 -15 (3) 15 -20 i₁ i 2 i 3 i4 iz ww R22 R34= 30 Ω || 20 V R33= and R43
Problem 03.072 - Mesh analysis with matrix By inspection, write the mesh-current equations for the given circuit where R = 2102 R -10 0 40V The mesh-current R11 0 0 R22 0 -30 where R11 R44 + 10 ΩΣ -10 0 0 -30 15 V R33 R34 R43 R44 + R R equations in matrix form are given by 40 -15 (3) 15 -20 i₁ i 2 i 3 i4 iz ww R22 R34= 30 Ω || 20 V R33= and R43
Introductory Circuit Analysis (13th Edition)
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KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Question
![Problem 03.072 - Mesh analysis with matrix
By inspection, write the mesh-current equations for the given circuit where R= 21 02.
R
-10
0
ww
=
40V
where R₁1 =
R44
0
-30
10 ΩΣ
The mesh-current equations in matrix form are given by
i₁
R₁1 0
0 R22
i 2
i 3
is
-10 0
0
R33
R43
"
15 V
R
www
i₂
iz R
R34
R44
30 92
R22
R34
40
-15
15
-20
20 V
R33
and R43](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2845e6d6-8477-48d9-98de-79e8453f366b%2F1eb045f6-850a-4cc0-ac44-ee1abfb2de88%2Fbl27yhg_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 03.072 - Mesh analysis with matrix
By inspection, write the mesh-current equations for the given circuit where R= 21 02.
R
-10
0
ww
=
40V
where R₁1 =
R44
0
-30
10 ΩΣ
The mesh-current equations in matrix form are given by
i₁
R₁1 0
0 R22
i 2
i 3
is
-10 0
0
R33
R43
"
15 V
R
www
i₂
iz R
R34
R44
30 92
R22
R34
40
-15
15
-20
20 V
R33
and R43
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