Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Consider the following circuit: 502 V1 V2 2A 1002 50Ω 102 50V 1002 1002 30V 100Ω 2002 1A (a) Find the voltages at nodes V, and V2. (b) Find the currents in the 4 branches connected to V, and verify that KCL is satisfied. (c) Find the currents in the 3 branches connected to V,, and verify that KCL is satisfied.

Consider the following circuit: 502 V1 V2 2A 1002 50Ω 102 50V 1002 1002 30V 100Ω 2002 1A (a) Find the voltages at nodes V, and V2. (b) Find the currents in the 4 branches connected to V, and verify that KCL is satisfied. (c) Find the currents in the 3 branches connected to V,, and verify that KCL is satisfied.

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
100%

Hello, a step by step guide would be greatly appreciated. Please follow the NOTES & SUGGESTIONS at the bottom when solving, answering what is asked as I need to learn doing it thoroughly and verifying results. Please show every step for understanding, thanks so much :)

 

Consider the following circuit: 502 V, V2 2A 1002 502 102 50V 1002 °1002 30V 1002 2002 1A (a) Find the voltages at nodes V, and V,. (b) Find the currents in the 4 branches connected to V,, and verify that KCL is satisfied. (c) Find the currents in the 3 branches connected to V,, and verify that KCL is satisfied. (d) Show that power is balanced. (e) If the 1000 resistor above the 1A source is made into a 102 resistor, what would change?Be quantitative, and indicate changes to voltage, current, and power. (f) Consider the 2002 resistor below the 2A source, and assume that its value can change. What value of this resistor would minimize the power delivered by the 2A source? Explain and be quantitative. Would anything else in the circuit change? Explain. Show your work and checks. NOTES and SUGGESTIONS You should end up with a system of two equations with two unknowns. You may use MATLAB or Python to help solve for the voltages, but you must include your script and output as PDF files for full credit. There must also be a “hand calculation" showing where the equations in your script came from. The hand calculation should agree with your script. The hand calculation should also be minimal. A table might be useful to keep track of voltage across, current through, and power absorbed or delivered by each element. For part (f), replace 2002 with variable R, then write an expression for the voltage across 2A as a function of R. Minimize the power delivered by 2A. When deriving each nodal equation, it helps to imagine all the currents leaving the node, so that the sum of all these currents is equal to 0. In other words, you do not need to try to predict the direction of every current, or use the polarity of a voltage source to determine the direction of the current through it. In each nodal equation, when there are multiple terms proportional to V, or V2, you should find that EVERY term has the same sign. It might be positive or negative, depending on exactly how to apply nodal analysis, but the signs must all be the same. If KCL is not satisfied, or if power does not balance, find your mistakes and fix them.
Transcribed Image Text:Consider the following circuit: 502 V, V2 2A 1002 502 102 50V 1002 °1002 30V 1002 2002 1A (a) Find the voltages at nodes V, and V,. (b) Find the currents in the 4 branches connected to V,, and verify that KCL is satisfied. (c) Find the currents in the 3 branches connected to V,, and verify that KCL is satisfied. (d) Show that power is balanced. (e) If the 1000 resistor above the 1A source is made into a 102 resistor, what would change?Be quantitative, and indicate changes to voltage, current, and power. (f) Consider the 2002 resistor below the 2A source, and assume that its value can change. What value of this resistor would minimize the power delivered by the 2A source? Explain and be quantitative. Would anything else in the circuit change? Explain. Show your work and checks. NOTES and SUGGESTIONS You should end up with a system of two equations with two unknowns. You may use MATLAB or Python to help solve for the voltages, but you must include your script and output as PDF files for full credit. There must also be a “hand calculation" showing where the equations in your script came from. The hand calculation should agree with your script. The hand calculation should also be minimal. A table might be useful to keep track of voltage across, current through, and power absorbed or delivered by each element. For part (f), replace 2002 with variable R, then write an expression for the voltage across 2A as a function of R. Minimize the power delivered by 2A. When deriving each nodal equation, it helps to imagine all the currents leaving the node, so that the sum of all these currents is equal to 0. In other words, you do not need to try to predict the direction of every current, or use the polarity of a voltage source to determine the direction of the current through it. In each nodal equation, when there are multiple terms proportional to V, or V2, you should find that EVERY term has the same sign. It might be positive or negative, depending on exactly how to apply nodal analysis, but the signs must all be the same. If KCL is not satisfied, or if power does not balance, find your mistakes and fix them.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Graph theory
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.
Similar questions
  • SEE MORE QUESTIONS
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