Use Mesh Analysis to find vxin the given circuit

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem 6**: Use Mesh Analysis to find \( v_x \) in the given circuit.

**Description of the Circuit Diagram:**

The circuit consists of the following components:

1. **Voltage Source**: 
   - Located on the left side.
   - Value: \( 20\angle30^\circ \).

2. **Resistors**:
   - A 4-ohm resistor is connected at the bottom.
   - A 5-ohm resistor is connected vertically at the center.
   - A 2-ohm resistor is on the right bottom.

3. **Inductors**:
   - An inductor with impedance \( j2 \) is located on the left.
   - Another inductor with impedance \( j4 \) is located on the top right.

4. **Capacitor**:
   - A capacitor with impedance \( -j2 \) is connected horizontally in the center.

5. **Current Sources**:
   - A current source with \( 2\angle90^\circ \) is connected vertically at the center.
  
6. **Controlled Source**:
   - A dependent voltage source on the right of the circuit has a value of \( 2v_x \).

**Objective**:

The goal is to use Mesh Analysis, a method used in circuit theory to determine the current or voltage across each component in the mesh of the circuit, to find the voltage \( v_x \).
Transcribed Image Text:**Problem 6**: Use Mesh Analysis to find \( v_x \) in the given circuit. **Description of the Circuit Diagram:** The circuit consists of the following components: 1. **Voltage Source**: - Located on the left side. - Value: \( 20\angle30^\circ \). 2. **Resistors**: - A 4-ohm resistor is connected at the bottom. - A 5-ohm resistor is connected vertically at the center. - A 2-ohm resistor is on the right bottom. 3. **Inductors**: - An inductor with impedance \( j2 \) is located on the left. - Another inductor with impedance \( j4 \) is located on the top right. 4. **Capacitor**: - A capacitor with impedance \( -j2 \) is connected horizontally in the center. 5. **Current Sources**: - A current source with \( 2\angle90^\circ \) is connected vertically at the center. 6. **Controlled Source**: - A dependent voltage source on the right of the circuit has a value of \( 2v_x \). **Objective**: The goal is to use Mesh Analysis, a method used in circuit theory to determine the current or voltage across each component in the mesh of the circuit, to find the voltage \( v_x \).
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