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Example 23: Determine RTh for the circuit shown in Figure 54 using the circuit voltage, short circuit current method and the external source method. Also determine VTh. 2 kN a Voc 5 V 3 v 20 i v $25 N ground

Example 23: Determine RTh for the circuit shown in Figure 54 using the circuit voltage, short circuit current method and the external source method. Also determine VTh. 2 kN a Voc 5 V 3 v 20 i v $25 N ground

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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I need help finding VTh and RTh in the following circuit.

**Example 23:** Determine \( R_{Th} \) for the circuit shown in Figure 54 using the circuit voltage, short circuit current method, and the external source method. Also determine \( V_{Th} \). **Circuit Description:** - **Voltage Source:** There is a 5V voltage source on the left. - **Components:** - A 2 kΩ resistor is connected to the voltage source. - The circuit contains a controlled current source labeled as \( 20i \). - A 25Ω resistor is in parallel with the controlled source. - **Nodes and Connections:** - There are two main nodes labeled 'a' and 'b'. - The ground is connected between the 3V voltage source and the controlled current source. - **Voltage Measurements:** - \( V_1 \) is labeled across the 25Ω resistor. - \( V_{oc} \) represents the open circuit voltage between nodes 'a' and 'b'. The diagram shows a typical circuit schematic used for calculating Thevenin’s equivalent resistance and voltage. The calculation involves: 1. **Using Circuit Voltage:** Analyzing the voltage across components. 2. **Short Circuit Current Method:** Calculating the current through a short across 'a' and 'b'. 3. **External Source Method:** Adding an external source to find equivalent resistance. These methods help determine \( R_{Th} \) and \( V_{Th} \), essential for simplifying complex linear circuits into a single voltage source and series resistance.
Transcribed Image Text:**Example 23:** Determine \( R_{Th} \) for the circuit shown in Figure 54 using the circuit voltage, short circuit current method, and the external source method. Also determine \( V_{Th} \). **Circuit Description:** - **Voltage Source:** There is a 5V voltage source on the left. - **Components:** - A 2 kΩ resistor is connected to the voltage source. - The circuit contains a controlled current source labeled as \( 20i \). - A 25Ω resistor is in parallel with the controlled source. - **Nodes and Connections:** - There are two main nodes labeled 'a' and 'b'. - The ground is connected between the 3V voltage source and the controlled current source. - **Voltage Measurements:** - \( V_1 \) is labeled across the 25Ω resistor. - \( V_{oc} \) represents the open circuit voltage between nodes 'a' and 'b'. The diagram shows a typical circuit schematic used for calculating Thevenin’s equivalent resistance and voltage. The calculation involves: 1. **Using Circuit Voltage:** Analyzing the voltage across components. 2. **Short Circuit Current Method:** Calculating the current through a short across 'a' and 'b'. 3. **External Source Method:** Adding an external source to find equivalent resistance. These methods help determine \( R_{Th} \) and \( V_{Th} \), essential for simplifying complex linear circuits into a single voltage source and series resistance.
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