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Find the Norton equivalent circuit for the circuit given below, at terminals a-b 10V 322 4A ΤΩ ΦΩ Θα Ob

Find the Norton equivalent circuit for the circuit given below, at terminals a-b 10V 322 4A ΤΩ ΦΩ Θα Ob

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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NORTON'S EQ FOR CKT( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

**Finding the Norton Equivalent Circuit for the Given Circuit at Terminals a-b** To determine the Norton equivalent circuit for the given electrical network, follow these steps: 1. **Original Circuit Explanation:** The original circuit consists of - A 10V voltage source, - A 4A current source, - Three resistors with values of 3Ω, 3Ω, and 6Ω. - Notable connection points are terminals a and b. 2. **Resistor Placement:** - The first 3Ω resistor is directly connected to the 10V voltage source on its left side (top left). - Another 3Ω resistor is connected in series with the first 3Ω resistor, positioned to the right. - The 6Ω resistor is parallel to this combination and is connected to terminal a and the ground (represented by terminal b). 3. **Current Source:** - The circuit also includes a 4A current source placed in parallel with the voltage source and the two 3Ω resistors. 4. **Terminals:** - Terminal a is located at the end of the second 3Ω resistor and before the 6Ω resistor. - Terminal b is connected to the ground. To compute the Norton equivalent circuit: - Determine the **Norton Current (I_N)**: 1. Short the terminals a and b and calculate the current flowing through the short. 2. Use mesh analysis or node voltage methods where appropriate. - Find the **Norton Resistance (R_N)**: 1. Disable all independent sources in the original circuit (replace voltage sources with short circuits and current sources with open circuits). 2. Calculate the total resistance seen from terminals a and b. This Norton equivalent circuit will have a current source (I_N) in parallel with a resistor (R_N) between terminals a and b. Be sure to follow these procedures step-by-step to find the exact values of I_N and R_N for complete analysis and resolution.
Transcribed Image Text:**Finding the Norton Equivalent Circuit for the Given Circuit at Terminals a-b** To determine the Norton equivalent circuit for the given electrical network, follow these steps: 1. **Original Circuit Explanation:** The original circuit consists of - A 10V voltage source, - A 4A current source, - Three resistors with values of 3Ω, 3Ω, and 6Ω. - Notable connection points are terminals a and b. 2. **Resistor Placement:** - The first 3Ω resistor is directly connected to the 10V voltage source on its left side (top left). - Another 3Ω resistor is connected in series with the first 3Ω resistor, positioned to the right. - The 6Ω resistor is parallel to this combination and is connected to terminal a and the ground (represented by terminal b). 3. **Current Source:** - The circuit also includes a 4A current source placed in parallel with the voltage source and the two 3Ω resistors. 4. **Terminals:** - Terminal a is located at the end of the second 3Ω resistor and before the 6Ω resistor. - Terminal b is connected to the ground. To compute the Norton equivalent circuit: - Determine the **Norton Current (I_N)**: 1. Short the terminals a and b and calculate the current flowing through the short. 2. Use mesh analysis or node voltage methods where appropriate. - Find the **Norton Resistance (R_N)**: 1. Disable all independent sources in the original circuit (replace voltage sources with short circuits and current sources with open circuits). 2. Calculate the total resistance seen from terminals a and b. This Norton equivalent circuit will have a current source (I_N) in parallel with a resistor (R_N) between terminals a and b. Be sure to follow these procedures step-by-step to find the exact values of I_N and R_N for complete analysis and resolution.
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