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Find the Thevenin resistance seen at terminals a-b. 20 Ω V Σ10Ω 3 Α 0.5 V

Find the Thevenin resistance seen at terminals a-b. 20 Ω V Σ10Ω 3 Α 0.5 V

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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### Finding the Thevenin Resistance #### Problem Statement **Objective:** Find the Thevenin resistance seen at terminals \( a-b \). #### Circuit Description: The circuit consists of: 1. A 20 Ω resistor connected in series. 2. Parallel elements include: - A 10 Ω resistor - A 3 A current source - A dependent current source labeled \( 0.5 V_o \) Here is the circuit diagram for clarity: ``` +---- 20 Ω ----+ | | V_o (a) | | 10 Ω (b) | | 3 A | | | dependent | current source | (0.5 V_o) | | | +--------------+ ``` To find the Thevenin resistance \( R_{th} \), follow these steps: 1. **Turn off all independent sources:** - Replace the 3 A current source with an open circuit. 2. **Analyze the remaining elements:** - The 20 Ω resistor and 10 Ω resistor are now in series. - The dependent current source \( 0.5 V_o \) is also considered. 3. **Combine series resistances:** - The combination of 20 Ω and 10 Ω resistors gives the equivalent resistance. #### Additional Notes: - Remember that while independent sources are turned off (current sources open, voltage sources shorted), dependent sources remain in the analysis. - Use Ohm's law and Kirchhoff's laws as necessary for detailed calculations. By following these steps, you can determine the Thevenin equivalent resistance at terminals \( a-b \).
Transcribed Image Text:### Finding the Thevenin Resistance #### Problem Statement **Objective:** Find the Thevenin resistance seen at terminals \( a-b \). #### Circuit Description: The circuit consists of: 1. A 20 Ω resistor connected in series. 2. Parallel elements include: - A 10 Ω resistor - A 3 A current source - A dependent current source labeled \( 0.5 V_o \) Here is the circuit diagram for clarity: ``` +---- 20 Ω ----+ | | V_o (a) | | 10 Ω (b) | | 3 A | | | dependent | current source | (0.5 V_o) | | | +--------------+ ``` To find the Thevenin resistance \( R_{th} \), follow these steps: 1. **Turn off all independent sources:** - Replace the 3 A current source with an open circuit. 2. **Analyze the remaining elements:** - The 20 Ω resistor and 10 Ω resistor are now in series. - The dependent current source \( 0.5 V_o \) is also considered. 3. **Combine series resistances:** - The combination of 20 Ω and 10 Ω resistors gives the equivalent resistance. #### Additional Notes: - Remember that while independent sources are turned off (current sources open, voltage sources shorted), dependent sources remain in the analysis. - Use Ohm's law and Kirchhoff's laws as necessary for detailed calculations. By following these steps, you can determine the Thevenin equivalent resistance at terminals \( a-b \).
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