Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
750 120n 150 0 (4) FIGURE 7.48 18. Derive the Thevenin equivalent of the circuit shown in Figure 7.48b.

750 120n 150 0 (4) FIGURE 7.48 18. Derive the Thevenin equivalent of the circuit shown in Figure 7.48b.

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
### Circuit Analysis: Thevenin Equivalent **Figure 7.48:** - **(a) Circuit Diagram:** - A 10 V voltage source is connected in series with a resistor \( R_1 \) of 1.2 kΩ. - \( R_2 \) (2.8 kΩ) is connected in parallel with \( R_1 \). - The load resistor \( R_L \) is also in parallel configuration with a 1 kΩ resistor \( R_3 \). - **(b) Circuit Diagram:** - A 6 V voltage source is connected in series with a resistor \( R_4 \) of 75 Ω. - In parallel with \( R_4 \) is a combination of two resistors: \( R_5 \) (120 Ω) and \( R_6 \) (150 Ω), both in series. - The load resistor \( R_L \) is in parallel with these components. **Objective:** 18. Derive the Thevenin equivalent of the circuit shown in Figure 7.48b. ### Explanation: The diagrams in Figure 7.48 exemplify the configurations of two different electrical circuits. The task requires deriving the Thevenin equivalent for the circuit labeled (b). The Thevenin equivalent circuit is a simplified two-terminal equivalent for the portion of the circuit under analysis. It consists of a voltage source \( V_{th} \) in series with a resistance \( R_{th} \). To find the Thevenin equivalent, follow these steps: 1. **Remove the Load Resistor \( R_L \).** 2. **Calculate \( R_{th} \):** - Turn off all independent voltage sources (replace them with a wire). - Compute the total resistance looking back into the circuit from the open terminals. 3. **Calculate \( V_{th} \):** - Find the open-circuit voltage across the terminals where \( R_L \) was connected, using techniques such as node voltage or mesh current. 4. **Re-attach \( R_L \):** - Use the Thevenin equivalent to analyze the circuit with the load resistor \( R_L \) reattached. By simplifying the circuit to its Thevenin equivalent, analyzing and understanding the behavior of the circuit becomes more straightforward, especially in complex networks.
Transcribed Image Text:### Circuit Analysis: Thevenin Equivalent **Figure 7.48:** - **(a) Circuit Diagram:** - A 10 V voltage source is connected in series with a resistor \( R_1 \) of 1.2 kΩ. - \( R_2 \) (2.8 kΩ) is connected in parallel with \( R_1 \). - The load resistor \( R_L \) is also in parallel configuration with a 1 kΩ resistor \( R_3 \). - **(b) Circuit Diagram:** - A 6 V voltage source is connected in series with a resistor \( R_4 \) of 75 Ω. - In parallel with \( R_4 \) is a combination of two resistors: \( R_5 \) (120 Ω) and \( R_6 \) (150 Ω), both in series. - The load resistor \( R_L \) is in parallel with these components. **Objective:** 18. Derive the Thevenin equivalent of the circuit shown in Figure 7.48b. ### Explanation: The diagrams in Figure 7.48 exemplify the configurations of two different electrical circuits. The task requires deriving the Thevenin equivalent for the circuit labeled (b). The Thevenin equivalent circuit is a simplified two-terminal equivalent for the portion of the circuit under analysis. It consists of a voltage source \( V_{th} \) in series with a resistance \( R_{th} \). To find the Thevenin equivalent, follow these steps: 1. **Remove the Load Resistor \( R_L \).** 2. **Calculate \( R_{th} \):** - Turn off all independent voltage sources (replace them with a wire). - Compute the total resistance looking back into the circuit from the open terminals. 3. **Calculate \( V_{th} \):** - Find the open-circuit voltage across the terminals where \( R_L \) was connected, using techniques such as node voltage or mesh current. 4. **Re-attach \( R_L \):** - Use the Thevenin equivalent to analyze the circuit with the load resistor \( R_L \) reattached. By simplifying the circuit to its Thevenin equivalent, analyzing and understanding the behavior of the circuit becomes more straightforward, especially in complex networks.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Multistage amplifier
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