Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Find the four voltages V1, V2, V3 and V4 for the circuit below:

Find the four voltages V1, V2, V3 and V4 for the circuit below:

Introductory Circuit Analysis (13th Edition)
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...
See similar textbooks
icon
Related questions
Question
The matrix form of Ohm's Law used in nodal analysis is: \( GV = I \) Find the four voltages \( V_1, V_2, V_3, \) and \( V_4 \) for the circuit below: **Circuit Diagram Description:** - The circuit contains four nodes where the voltages are measured: \( V_1, V_2, V_3, \) and \( V_4 \). - Resistors are connected as follows: - \( R1 \) (1kΩ) is between \( V1 \) and \( V2 \) - \( R2 \) (3kΩ) is between \( V2 \) and \( V3 \) - \( R3 \) (1kΩ) is between \( V3 \) and \( V4 \) - \( R4 \) (1kΩ) is between \( V2 \) and ground, carrying a current \( I1 = 0.025A \) - \( R5 \) (2kΩ) is between \( V3 \) and ground - \( R6 \) (3kΩ) is between \( V4 \) and ground, carrying a current \( I2 = 0.015A \) - \( R7 \) (5kΩ) is connected between \( V2 \) and \( V4 \) This configuration sets up a nodal analysis problem requiring the determination of voltages across these nodes using Ohm's Law in its matrix form.
Transcribed Image Text:The matrix form of Ohm's Law used in nodal analysis is: \( GV = I \) Find the four voltages \( V_1, V_2, V_3, \) and \( V_4 \) for the circuit below: **Circuit Diagram Description:** - The circuit contains four nodes where the voltages are measured: \( V_1, V_2, V_3, \) and \( V_4 \). - Resistors are connected as follows: - \( R1 \) (1kΩ) is between \( V1 \) and \( V2 \) - \( R2 \) (3kΩ) is between \( V2 \) and \( V3 \) - \( R3 \) (1kΩ) is between \( V3 \) and \( V4 \) - \( R4 \) (1kΩ) is between \( V2 \) and ground, carrying a current \( I1 = 0.025A \) - \( R5 \) (2kΩ) is between \( V3 \) and ground - \( R6 \) (3kΩ) is between \( V4 \) and ground, carrying a current \( I2 = 0.015A \) - \( R7 \) (5kΩ) is connected between \( V2 \) and \( V4 \) This configuration sets up a nodal analysis problem requiring the determination of voltages across these nodes using Ohm's Law in its matrix form.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Z parameter
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,
SEE MORE TEXTBOOKS