1. Using the method of Supermesh analysis, calculate the following values for the given network. a. The current through resistor R₁ with direction. b. The voltage across R3 with direction

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**ENGR 1375 Chapter 8b Review Problems**

**Nodal Analysis & Supermesh Analysis**

1. Using the method of Supermesh analysis, calculate the following values for the given network.

   a. The current through resistor \( R_1 \) with direction.

   b. The voltage across \( R_3 \) with direction.

---

**Diagram Explanation:**

The circuit diagram provided includes the following components:

- A voltage source \( V_s \) connected on the left side of the circuit.
- A current source labeled as \( 4 \, \text{A} \), also on the left, directly below the voltage source.
- Three resistors:
  - \( R_1 = 2 \, \Omega \), connected in series with the current source and the voltage source.
  - \( R_2 = 6 \, \Omega \), located on the top branch, in series with a 24 V voltage source.
  - \( R_3 = 2 \, \Omega \), on the right branch, with the voltage across it labeled as \( V_3 \).
- A ground connection at the bottom of the circuit.

There are two mesh currents labeled:
- \( I \) on the left, flowing through the 4 A current source and \( R_1 \).
- \( I_1 \) on the top branch, flowing through \( R_2 \) and the 24 V source.

The task involves using Supermesh analysis to find the specified current and voltage.
Transcribed Image Text:**ENGR 1375 Chapter 8b Review Problems** **Nodal Analysis & Supermesh Analysis** 1. Using the method of Supermesh analysis, calculate the following values for the given network. a. The current through resistor \( R_1 \) with direction. b. The voltage across \( R_3 \) with direction. --- **Diagram Explanation:** The circuit diagram provided includes the following components: - A voltage source \( V_s \) connected on the left side of the circuit. - A current source labeled as \( 4 \, \text{A} \), also on the left, directly below the voltage source. - Three resistors: - \( R_1 = 2 \, \Omega \), connected in series with the current source and the voltage source. - \( R_2 = 6 \, \Omega \), located on the top branch, in series with a 24 V voltage source. - \( R_3 = 2 \, \Omega \), on the right branch, with the voltage across it labeled as \( V_3 \). - A ground connection at the bottom of the circuit. There are two mesh currents labeled: - \( I \) on the left, flowing through the 4 A current source and \( R_1 \). - \( I_1 \) on the top branch, flowing through \( R_2 \) and the 24 V source. The task involves using Supermesh analysis to find the specified current and voltage.
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