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)
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...
icon
Related questions
Question

Can someone help me solve this using exel. 

Thanks 

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 15 images

Blurred answer
Knowledge Booster
State Variable Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,