13.12 Determine the voltage V, in the circuit shown in Figure 13-39 using superposition. 2 20° A 2+j3 N j80 elll + 6225° V +. -j4N F Vo 4 20° A FIGURE 13-39: Circuit schematic for problem 13.12.

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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**Problem 13.12 Statement:**
Determine the voltage \( V_0 \) in the circuit shown in Figure 13-39 using superposition.

**Figure 13-39 Description:**

The circuit schematic consists of:

- A voltage source of \( 6 \angle 25^\circ \text{ V} \) on the left side.
- A current source of \( 2 \angle 0^\circ \text{ A} \) at the top.
- A current source of \( 4 \angle 0^\circ \text{ A} \) at the bottom.
- A complex impedance of \( 2 + j3 \, \Omega \) on the left side of the circuit.
- A complex impedance of \( j8 \, \Omega \) on the upper right part of the circuit.
- A complex impedance of \( -j4 \, \Omega \) on the lower right part of the circuit.
- The output voltage \( V_0 \) is across the rightmost impedance.

**Explanation for Educational Purposes:**

In solving for \( V_0 \) using superposition, each source is considered separately while other sources are turned off (voltage sources are replaced by short circuits, and current sources are replaced by open circuits). Calculate the contribution to \( V_0 \) from each source individually and then sum these contributions to find the total \( V_0 \).
Transcribed Image Text:**Problem 13.12 Statement:** Determine the voltage \( V_0 \) in the circuit shown in Figure 13-39 using superposition. **Figure 13-39 Description:** The circuit schematic consists of: - A voltage source of \( 6 \angle 25^\circ \text{ V} \) on the left side. - A current source of \( 2 \angle 0^\circ \text{ A} \) at the top. - A current source of \( 4 \angle 0^\circ \text{ A} \) at the bottom. - A complex impedance of \( 2 + j3 \, \Omega \) on the left side of the circuit. - A complex impedance of \( j8 \, \Omega \) on the upper right part of the circuit. - A complex impedance of \( -j4 \, \Omega \) on the lower right part of the circuit. - The output voltage \( V_0 \) is across the rightmost impedance. **Explanation for Educational Purposes:** In solving for \( V_0 \) using superposition, each source is considered separately while other sources are turned off (voltage sources are replaced by short circuits, and current sources are replaced by open circuits). Calculate the contribution to \( V_0 \) from each source individually and then sum these contributions to find the total \( V_0 \).
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