Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Problem Statement:** **Objective:** Find the Thevenin equivalent with respect to terminals a and b in the circuit below. **Circuit Description:** The circuit consists of the following components: 1. A voltage source of 20V. 2. A dependent current source, denoted as \(3i_a\). 3. A resistor with a resistance of 10 ohms, through which the current \(i_a\) is flowing. 4. An independent current source of 5A. 5. A resistor with a resistance of 2 ohms. **Connections:** - The 20V voltage source is connected to the bottom left node of the circuit. - The 10 ohm resistor and the dependent current source \(3i_a\) are connected in parallel. This combination is attached to the voltage source and the rest of the circuit. - The independent 5A current source is connected between the bottom node and a node that connects to the 10 ohm resistor. - Finally, a 2 ohm resistor is connected in parallel with the rest of the components across terminals a and b. **Analysis Task:** The task is to determine the Thevenin equivalent circuit for the section between the terminals labeled 'a' and 'b'. This involves finding the Thevenin equivalent voltage and the Thevenin equivalent resistance by considering the effects of both dependent and independent sources in the circuit.
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Transcribed Image Text:**Problem Statement:** **Objective:** Find the Thevenin equivalent with respect to terminals a and b in the circuit below. **Circuit Description:** The circuit consists of the following components: 1. A voltage source of 20V. 2. A dependent current source, denoted as \(3i_a\). 3. A resistor with a resistance of 10 ohms, through which the current \(i_a\) is flowing. 4. An independent current source of 5A. 5. A resistor with a resistance of 2 ohms. **Connections:** - The 20V voltage source is connected to the bottom left node of the circuit. - The 10 ohm resistor and the dependent current source \(3i_a\) are connected in parallel. This combination is attached to the voltage source and the rest of the circuit. - The independent 5A current source is connected between the bottom node and a node that connects to the 10 ohm resistor. - Finally, a 2 ohm resistor is connected in parallel with the rest of the components across terminals a and b. **Analysis Task:** The task is to determine the Thevenin equivalent circuit for the section between the terminals labeled 'a' and 'b'. This involves finding the Thevenin equivalent voltage and the Thevenin equivalent resistance by considering the effects of both dependent and independent sources in the circuit.
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