13.10 Determine the voltage V, in the circuit shown in Figure 13-37 using loop analysis. 12 20° V A o079 +Vx - 4-j2 0 3+j6 N 2 20° A FIGURE 13-37: Circuit schematic for problem 13.10.

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### Problem 13.10

**Objective:** Determine the voltage \( V_x \) in the circuit using loop analysis.

**Circuit Description:**
The circuit consists of the following components connected in a loop:

- **Voltage Sources:**
  - \( 12 \angle 0^\circ \) V
  - \( 6 \angle 0^\circ \) V

- **Current Sources:**
  - \( 2 \angle 0^\circ \) A (pointing downwards)
  - \( 6 \angle 0^\circ \) A (pointing downwards)

- **Resistors:**
  - \( 4 - j2 \, \Omega \)
  - \( 3 + j6 \, \Omega \)
  - \( 4 \, \Omega \) (in series with \( V_x \))

**Diagrams:**

- **Voltage Source (12 V):** Positioned on the left side of the circuit.
- **Resistor (4 - j2 Ω):** Connected directly to the 12 V source on the left.
- **Voltage Source (6 V):** Positioned on the top right of the circuit loop.
- **Current Sources (2 A and 6 A):** Positioned in the middle section of the circuit, both pointing down.
- **Complex Resistor (3 + j6 Ω):** Positioned on the right side of the circuit.
- **Voltage Across \( V_x \):** Measured between the 4 Ω resistor.

**Figure 13-37:** The circuit schematic is provided for reference, illustrating the arrangement of components as described above.
Transcribed Image Text:### Problem 13.10 **Objective:** Determine the voltage \( V_x \) in the circuit using loop analysis. **Circuit Description:** The circuit consists of the following components connected in a loop: - **Voltage Sources:** - \( 12 \angle 0^\circ \) V - \( 6 \angle 0^\circ \) V - **Current Sources:** - \( 2 \angle 0^\circ \) A (pointing downwards) - \( 6 \angle 0^\circ \) A (pointing downwards) - **Resistors:** - \( 4 - j2 \, \Omega \) - \( 3 + j6 \, \Omega \) - \( 4 \, \Omega \) (in series with \( V_x \)) **Diagrams:** - **Voltage Source (12 V):** Positioned on the left side of the circuit. - **Resistor (4 - j2 Ω):** Connected directly to the 12 V source on the left. - **Voltage Source (6 V):** Positioned on the top right of the circuit loop. - **Current Sources (2 A and 6 A):** Positioned in the middle section of the circuit, both pointing down. - **Complex Resistor (3 + j6 Ω):** Positioned on the right side of the circuit. - **Voltage Across \( V_x \):** Measured between the 4 Ω resistor. **Figure 13-37:** The circuit schematic is provided for reference, illustrating the arrangement of components as described above.
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