a) Display your coefficient matrix and your constant matrix. b) Display the determinant of the coefficient matrix to see if it's possible to find an inverse. c) Find the inverse of the coefficient matrix. d) Use the inverse of the coefficient matrix to determine the currents 1₁, 12, and 13.
a) Display your coefficient matrix and your constant matrix. b) Display the determinant of the coefficient matrix to see if it's possible to find an inverse. c) Find the inverse of the coefficient matrix. d) Use the inverse of the coefficient matrix to determine the currents 1₁, 12, and 13.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Can someone help me solve this using exel.
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![Ohm's Law, Kirchoff's Voltage Law, and Kirchoff's Current Law (shown below for your reference) are used
to generate a system of three equations that describe the operation of the circuit shown below. Use
matrix array functions in Excel to find the currents i₁, 12, and i3. The voltage supply and resistance values
are listed in the accompanying table.
Ohm's Law.
V = IR
Kirchoff's Voltage Law. For a closed circuit (loop), the algebraic sum of all changes in voltage must be
zero, i.e., E-R₁i₁ - R₂i2 = 0, and E-R₁i1 - R3i3 = 0;
Kirchoff's Current Law. At any junction in a circuit, the input current(s) must equal the output current(s),
i.e., 1₁-1₂-13 = 0
The corresponding system of equations is:
a)
Display your coefficient matrix and your constant matrix.
b)
Display the determinant of the coefficient matrix to see if it's possible to find an inverse.
Find the inverse of the coefficient matrix.
c)
d) Use the inverse of the coefficient matrix to determine the currents 1₁, 12, and 13.
[T]
E
H
Known Values
5
E
R₁
R₂
R3
+
volts
ohms
300 ohms
150 ohms
5000
R₁1₁ + R₂i₂ = E
R₁11 + R3i3 = E
1₁ - 12 - 13 = 0
m
Rr
m
R₂
e
m
R3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe42c0efe-14fe-42af-bc89-aaae6e3d971b%2F155774f0-3452-4a9b-9e0f-41146a8d5a2d%2F2ttqwqv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ohm's Law, Kirchoff's Voltage Law, and Kirchoff's Current Law (shown below for your reference) are used
to generate a system of three equations that describe the operation of the circuit shown below. Use
matrix array functions in Excel to find the currents i₁, 12, and i3. The voltage supply and resistance values
are listed in the accompanying table.
Ohm's Law.
V = IR
Kirchoff's Voltage Law. For a closed circuit (loop), the algebraic sum of all changes in voltage must be
zero, i.e., E-R₁i₁ - R₂i2 = 0, and E-R₁i1 - R3i3 = 0;
Kirchoff's Current Law. At any junction in a circuit, the input current(s) must equal the output current(s),
i.e., 1₁-1₂-13 = 0
The corresponding system of equations is:
a)
Display your coefficient matrix and your constant matrix.
b)
Display the determinant of the coefficient matrix to see if it's possible to find an inverse.
Find the inverse of the coefficient matrix.
c)
d) Use the inverse of the coefficient matrix to determine the currents 1₁, 12, and 13.
[T]
E
H
Known Values
5
E
R₁
R₂
R3
+
volts
ohms
300 ohms
150 ohms
5000
R₁1₁ + R₂i₂ = E
R₁11 + R3i3 = E
1₁ - 12 - 13 = 0
m
Rr
m
R₂
e
m
R3
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