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FIND a and b WITHOUT using PSPICE

FIND a and b WITHOUT using PSPICE

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...
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FIND a and b WITHOUT using PSPICE.

### Thévenin Equivalent Circuit Analysis #### Problem Statement a) **Objective:** Find the Thévenin equivalent with respect to the terminals \( a, b \) for the circuit in Fig. P4.78 by determining the open-circuit voltage and the short-circuit current. b) **Objective:** Solve for the Thévenin resistance by removing the independent sources. Compare your result to the Thévenin resistance found in (a). --- #### Figure P4.78 **Circuit Description:** - The circuit consists of a 9V voltage source connected to a 5Ω resistor. - The 5Ω resistor is in series with a parallel network. - In the parallel network, one path has a 25Ω resistor in series with a 10Ω resistor. - Another path in the parallel network branches off into: - A 20Ω resistor in series with a current source providing 1.8A. - The other path connects to a terminal point \( a \). - Additionally, there is a 60Ω resistor connected between terminals \( a \) and \( b \). --- #### Explanation of Graphs and Diagrams **Figure P4.78:** - A circuit schematic depicting all components and their connections. - Starting from the left: a 9V voltage source is connected to a 5Ω resistor. - The junction point after the 5Ω resistor splits into two paths: - One path leads to a 20Ω resistor, which then connects to a 1.8A current source. The current source leads to terminal \( a \). - The other path goes through a 25Ω resistor in series with a 10Ω resistor, connecting to terminal \( b \). - Terminal \( a \) is also connected to a 60Ω resistor which joins back to terminal \( b \). --- #### Steps for Analysis 1. **Open-Circuit Voltage:** - Identify the voltage across terminals \( a \) and \( b \) without any load connected. 2. **Short-Circuit Current:** - Connect a wire (short-circuit) between terminals \( a \) and \( b \) and calculate the resulting current. 3. **Thévenin Resistance:** - Remove all independent sources (replace voltage sources with short circuits and current sources with open circuits). - Calculate the equivalent resistance seen from terminals \( a \) and \( b \). By
Transcribed Image Text:### Thévenin Equivalent Circuit Analysis #### Problem Statement a) **Objective:** Find the Thévenin equivalent with respect to the terminals \( a, b \) for the circuit in Fig. P4.78 by determining the open-circuit voltage and the short-circuit current. b) **Objective:** Solve for the Thévenin resistance by removing the independent sources. Compare your result to the Thévenin resistance found in (a). --- #### Figure P4.78 **Circuit Description:** - The circuit consists of a 9V voltage source connected to a 5Ω resistor. - The 5Ω resistor is in series with a parallel network. - In the parallel network, one path has a 25Ω resistor in series with a 10Ω resistor. - Another path in the parallel network branches off into: - A 20Ω resistor in series with a current source providing 1.8A. - The other path connects to a terminal point \( a \). - Additionally, there is a 60Ω resistor connected between terminals \( a \) and \( b \). --- #### Explanation of Graphs and Diagrams **Figure P4.78:** - A circuit schematic depicting all components and their connections. - Starting from the left: a 9V voltage source is connected to a 5Ω resistor. - The junction point after the 5Ω resistor splits into two paths: - One path leads to a 20Ω resistor, which then connects to a 1.8A current source. The current source leads to terminal \( a \). - The other path goes through a 25Ω resistor in series with a 10Ω resistor, connecting to terminal \( b \). - Terminal \( a \) is also connected to a 60Ω resistor which joins back to terminal \( b \). --- #### Steps for Analysis 1. **Open-Circuit Voltage:** - Identify the voltage across terminals \( a \) and \( b \) without any load connected. 2. **Short-Circuit Current:** - Connect a wire (short-circuit) between terminals \( a \) and \( b \) and calculate the resulting current. 3. **Thévenin Resistance:** - Remove all independent sources (replace voltage sources with short circuits and current sources with open circuits). - Calculate the equivalent resistance seen from terminals \( a \) and \( b \). By
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