Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Find the Thevenin equivalent with respect to the terminals a and b for the circuit shown below. Use the mesh-current method in your analysis.

Find the Thevenin equivalent with respect to the terminals a and b for the circuit shown below. Use the mesh-current method in your analysis.

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

Please answer in typing format please ASAP for the like please clear the

Please in typing format

Thank you

 

**Circuit Analysis Using The Thevenin Equivalent** **Objective:** Find the Thevenin equivalent with respect to the terminals a and b for the circuit shown below. Use the mesh-current method in your analysis. **Circuit Diagram:** - **Components:** - Resistor: 20 Ω, connected in series with a 30 V voltage source. - Independent current source: \(35i_\phi\) (positioned at the top, controlled by another current \(i_\phi\)). - Resistor: 2 Ω, connected in series with a 1 Ω resistor. - Voltage source: 15 V, connected in series with a 40 Ω resistor. - Resistor: 80 Ω, at the far right of the circuit, connected from terminal a to terminal b. **Connections:** - The 30 V source connects to the 20 Ω resistor on the left and is in parallel with the path containing the 15 V source and 40 Ω resistor. - The 2 Ω and 1 Ω resistors are above and in parallel with the path connecting the voltage sources and 40 Ω resistor. - Terminals a and b are located on the right side, with an 80 Ω resistor directly between them. **Analysis Method:** Use the mesh-current method to solve for unknowns, and derive the Thevenin equivalent circuit applicable between terminals a and b. **Instructions for Analysis:** 1. **Identify Meshes:** - Define mesh currents for the loops in the circuit. 2. **Write Mesh Equations:** - Apply Kirchhoff’s Voltage Law (KVL) to each mesh. - Incorporate the voltage and current source constraints where needed. 3. **Solve the Equations:** - Solve the system of linear equations for the mesh currents. 4. **Determine Thevenin Voltage and Resistance:** - Calculate the open circuit voltage across terminals a and b (Thevenin Voltage). - Find the equivalent resistance seen from terminals a and b with sources deactivated (Thevenin Resistance). By employing this analytical method, you can simplify complex circuits into simple two-component Thevenin equivalents, enabling easier analysis in connected systems.
Transcribed Image Text:**Circuit Analysis Using The Thevenin Equivalent** **Objective:** Find the Thevenin equivalent with respect to the terminals a and b for the circuit shown below. Use the mesh-current method in your analysis. **Circuit Diagram:** - **Components:** - Resistor: 20 Ω, connected in series with a 30 V voltage source. - Independent current source: \(35i_\phi\) (positioned at the top, controlled by another current \(i_\phi\)). - Resistor: 2 Ω, connected in series with a 1 Ω resistor. - Voltage source: 15 V, connected in series with a 40 Ω resistor. - Resistor: 80 Ω, at the far right of the circuit, connected from terminal a to terminal b. **Connections:** - The 30 V source connects to the 20 Ω resistor on the left and is in parallel with the path containing the 15 V source and 40 Ω resistor. - The 2 Ω and 1 Ω resistors are above and in parallel with the path connecting the voltage sources and 40 Ω resistor. - Terminals a and b are located on the right side, with an 80 Ω resistor directly between them. **Analysis Method:** Use the mesh-current method to solve for unknowns, and derive the Thevenin equivalent circuit applicable between terminals a and b. **Instructions for Analysis:** 1. **Identify Meshes:** - Define mesh currents for the loops in the circuit. 2. **Write Mesh Equations:** - Apply Kirchhoff’s Voltage Law (KVL) to each mesh. - Incorporate the voltage and current source constraints where needed. 3. **Solve the Equations:** - Solve the system of linear equations for the mesh currents. 4. **Determine Thevenin Voltage and Resistance:** - Calculate the open circuit voltage across terminals a and b (Thevenin Voltage). - Find the equivalent resistance seen from terminals a and b with sources deactivated (Thevenin Resistance). By employing this analytical method, you can simplify complex circuits into simple two-component Thevenin equivalents, enabling easier analysis in connected systems.
Expert Solution
Step 1: Parameter needs to be calculated

For the given circuit the Thevenin equivalent circuit needs to be calculated and the same can be calculated by using the open circuit voltage and the resistance reduction technique.

steps

Step by step

Solved in 5 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Norton theorem
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