5. The equations describing the circuit shown are: -v₁+R₁₁₁ +R₁₁ = 0 - Rai + R₂i + R₂i, = 0 -Rsis + R3i3 +V₂ = 0 į₁₂ = 12 +14 ₁₁₂ = 13 +15 R3 R2 13 w Rs- RA V2 Use the following values: R₁ = 5, R₂ = 100, R3 = 2000, R4 = 150, R5 = 250 kn, v₁ = 100 V, v₂ 20 V Solve for the unknown variables i₁, 12, 13, 14, is using the inverse and reduced row echelon form (rref). Identify the values of the solution variables (i₁, i2, 13, 14, 15) in mathematical section comments (both solutions should agree). What kind of solution does this system have? Hints: • • Arrange the system of equations so that any voltages appear on the right-hand side for the constant vector; and all currents and resistances appear on the left-hand side. Define resistance variables R1, R2, etc., and use the variables to form your "A" matrix. This will help minimize human error and make your code clearer and more readable. Smart using variables to make life easier! 9/9/2022 11:47 AM 2

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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5. The equations describing the circuit shown are:
-v₁+R₁₁₁ +R₁₁ = 0
- Rai + R₂i + R₂i, = 0
-Rsis + R3i3 +V₂ = 0
į₁₂ = 12 +14
₁₁₂ = 13 +15
R3
R2
13
w
Rs-
RA
V2
Use the following values:
R₁ = 5, R₂ = 100, R3 = 2000, R4 = 150, R5 = 250 kn, v₁ =
100 V, v₂
20 V
Solve for the unknown variables i₁, 12, 13, 14, is using the inverse and reduced row echelon
form (rref). Identify the values of the solution variables (i₁, i2, 13, 14, 15) in mathematical
section comments (both solutions should agree). What kind of solution does this system
have?
Hints:
•
•
Arrange the system of equations so that any voltages appear on the right-hand side for
the constant vector; and all currents and resistances appear on the left-hand side.
Define resistance variables R1, R2, etc., and use the variables to form your "A"
matrix. This will help minimize human error and make your code clearer and more
readable. Smart using variables to make life easier!
9/9/2022 11:47 AM
2
Transcribed Image Text:5. The equations describing the circuit shown are: -v₁+R₁₁₁ +R₁₁ = 0 - Rai + R₂i + R₂i, = 0 -Rsis + R3i3 +V₂ = 0 į₁₂ = 12 +14 ₁₁₂ = 13 +15 R3 R2 13 w Rs- RA V2 Use the following values: R₁ = 5, R₂ = 100, R3 = 2000, R4 = 150, R5 = 250 kn, v₁ = 100 V, v₂ 20 V Solve for the unknown variables i₁, 12, 13, 14, is using the inverse and reduced row echelon form (rref). Identify the values of the solution variables (i₁, i2, 13, 14, 15) in mathematical section comments (both solutions should agree). What kind of solution does this system have? Hints: • • Arrange the system of equations so that any voltages appear on the right-hand side for the constant vector; and all currents and resistances appear on the left-hand side. Define resistance variables R1, R2, etc., and use the variables to form your "A" matrix. This will help minimize human error and make your code clearer and more readable. Smart using variables to make life easier! 9/9/2022 11:47 AM 2
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