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Find the The ven in and Norton equivalent Circuits tor the terminals a_b. circuit shown at a 15V (+) 4A

Find the The ven in and Norton equivalent Circuits tor the terminals a_b. circuit shown at a 15V (+) 4A

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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**Objective:** Find the Thevenin and Norton equivalent circuits for the given electrical circuit at terminals a-b. **Circuit Description:** The circuit consists of the following components: - A 15V voltage source on the left side. - A 3-ohm resistor is connected in series with the 15V voltage source. - A parallel branch next to the series 3-ohm resistor containing a 4A current source. - Another 3-ohm resistor in series with the parallel branch. - A 6-ohm resistor is connected in parallel with the previous series branch. - Terminals a and b are at the end of the circuit for further analysis. **Graph/Diagram Explanation:** The circuit diagram is illustrated on a grid background, showing an arrangement of electrical components and connections. The components are strategically placed to analyze the reduction of the circuit into Thevenin and Norton equivalents. The circuit begins with a voltage source, followed by resistors and a current source arranged to demonstrate various series and parallel connections.
Transcribed Image Text:**Objective:** Find the Thevenin and Norton equivalent circuits for the given electrical circuit at terminals a-b. **Circuit Description:** The circuit consists of the following components: - A 15V voltage source on the left side. - A 3-ohm resistor is connected in series with the 15V voltage source. - A parallel branch next to the series 3-ohm resistor containing a 4A current source. - Another 3-ohm resistor in series with the parallel branch. - A 6-ohm resistor is connected in parallel with the previous series branch. - Terminals a and b are at the end of the circuit for further analysis. **Graph/Diagram Explanation:** The circuit diagram is illustrated on a grid background, showing an arrangement of electrical components and connections. The components are strategically placed to analyze the reduction of the circuit into Thevenin and Norton equivalents. The circuit begins with a voltage source, followed by resistors and a current source arranged to demonstrate various series and parallel connections.
Expert Solution
Step 1

Norton equivalent 

Norton resistance

Remove the voltage source by the short-circuit and the current source by the open circuit, the circuit is shown below: 

Electrical Engineering homework question answer, step 1, image 1

RN=3+3||6RN=3+3×63+3+6 ΩRN=3612 ΩRN=3 Ω

Norton current

The terminal ab is shorted, the circuit is shown below: 

Electrical Engineering homework question answer, step 1, image 2

Applying Nodal analysis at node A, 

15-VA3+4-VA-03=015-VA+12-VA3=027=2VAVA=13.5 VVa=13.5 V

Norton equivalent circuit

The Norton equivalent circuit is shown below: 

Electrical Engineering homework question answer, step 1, image 3

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