2 k2 3 V 1 kn 6 k2 2 mA ww

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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### Task: Apply Norton's Theorem

For the given electrical circuit, use Norton’s Theorem to achieve the following tasks focused on the load resistor (6 kΩ):

#### Steps:

1. **Find \( R_N \):**
   - Determine the Norton equivalent resistance.
  
2. **Find \( I_{sc} \) to compute \( I_N \):**
   - Calculate the short-circuit current to find the Norton equivalent current.

3. **Find \( V_{th} \) and \( R_{th} \) to compute \( I_N \):**
   - Use Thevenin's voltage and resistance to find Norton’s current.

4. **Draw the Norton’s equivalent circuit:**
   - Illustrate the Norton equivalent circuit diagram.

5. **Determine the voltage across the load resistor (6 kΩ):**
   - Calculate the voltage drop over the 6 kΩ resistor.

### Circuit Diagram Description:

- The circuit consists of:
  - A 1 kΩ resistor and a 2 kΩ resistor connected in series.
  - A 2 mA current source parallel to the 1 kΩ resistor.
  - A 3 V voltage source connected in series with a 6 kΩ resistor.

Use these elements to conduct the analysis and derive the required parameters using Norton's Theorem.
Transcribed Image Text:### Task: Apply Norton's Theorem For the given electrical circuit, use Norton’s Theorem to achieve the following tasks focused on the load resistor (6 kΩ): #### Steps: 1. **Find \( R_N \):** - Determine the Norton equivalent resistance. 2. **Find \( I_{sc} \) to compute \( I_N \):** - Calculate the short-circuit current to find the Norton equivalent current. 3. **Find \( V_{th} \) and \( R_{th} \) to compute \( I_N \):** - Use Thevenin's voltage and resistance to find Norton’s current. 4. **Draw the Norton’s equivalent circuit:** - Illustrate the Norton equivalent circuit diagram. 5. **Determine the voltage across the load resistor (6 kΩ):** - Calculate the voltage drop over the 6 kΩ resistor. ### Circuit Diagram Description: - The circuit consists of: - A 1 kΩ resistor and a 2 kΩ resistor connected in series. - A 2 mA current source parallel to the 1 kΩ resistor. - A 3 V voltage source connected in series with a 6 kΩ resistor. Use these elements to conduct the analysis and derive the required parameters using Norton's Theorem.
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