13.15 Determine the voltage V. in the circuit shown in Figure 13-42 using Thevenin's. -j40 j8N 20 2 + Vx – 12 20° V 15 ΩS 4 20° A A o07 6 FIGURE 13-42: Circuit schematic for problem 13.15.
13.15 Determine the voltage V. in the circuit shown in Figure 13-42 using Thevenin's. -j40 j8N 20 2 + Vx – 12 20° V 15 ΩS 4 20° A A o07 6 FIGURE 13-42: Circuit schematic for problem 13.15.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![## Problem Description
**13.15:**
Determine the voltage \( V \) in the circuit shown in Figure 13-42 using Thevenin’s Theorem.
## Circuit Diagram Analysis
**Figure 13-42: Circuit Schematic**
- **Voltage Sources:**
- A 12∠0° V source is at the top of the circuit.
- A 9∠0° V source is at the bottom of the circuit.
- **Current Source:**
- There is a current source with a magnitude of 4∠0° A.
- **Resistors:**
- A 15Ω resistor is in parallel with the current source on the left side of the circuit.
- A 20Ω resistor is on the right side of the circuit across which the voltage \( V \) is to be determined.
- **Inductive and Capacitive Reactance:**
- An inductive reactance \( j8Ω \) is present on the right side of the circuit.
- A capacitive reactance \(-j4Ω\) is connected at the top.
The goal is to determine the voltage \( V_x \) across the 20Ω resistor using Thevenin’s Theorem. The configuration suggests analyzing the circuit by finding the equivalent Thevenin voltage and impedance across the terminals of interest.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b12921e-4f95-442d-998d-c25c97115157%2F8c6ed360-5409-4a84-9c43-b32700396e6f%2F94dqsop_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem Description
**13.15:**
Determine the voltage \( V \) in the circuit shown in Figure 13-42 using Thevenin’s Theorem.
## Circuit Diagram Analysis
**Figure 13-42: Circuit Schematic**
- **Voltage Sources:**
- A 12∠0° V source is at the top of the circuit.
- A 9∠0° V source is at the bottom of the circuit.
- **Current Source:**
- There is a current source with a magnitude of 4∠0° A.
- **Resistors:**
- A 15Ω resistor is in parallel with the current source on the left side of the circuit.
- A 20Ω resistor is on the right side of the circuit across which the voltage \( V \) is to be determined.
- **Inductive and Capacitive Reactance:**
- An inductive reactance \( j8Ω \) is present on the right side of the circuit.
- A capacitive reactance \(-j4Ω\) is connected at the top.
The goal is to determine the voltage \( V_x \) across the 20Ω resistor using Thevenin’s Theorem. The configuration suggests analyzing the circuit by finding the equivalent Thevenin voltage and impedance across the terminals of interest.
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