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For the three-phase network shown in the figure, find the current in each wire and the real power consumed by the wye network. Let VR=170<0 Vrms , VW=170<2pi/3 Vrms , and VB=170<4pi/3 Vrms .

For the three-phase network shown in the figure, find the current in each wire and the real power consumed by the wye network. Let VR=170<0 Vrms , VW=170<2pi/3 Vrms , and VB=170<4pi/3 Vrms .

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the three-phase network shown in the figure, find the current in each wire and the real power consumed by the wye network. Let VR=170<0 Vrms , VW=170<2pi/3 Vrms , and VB=170<4pi/3 Vrms . 

### Circuit Diagram Explanation The diagram (Figure P7.62) is a depiction of a basic electrical circuit composed of resistors and current paths. Here is a detailed explanation of the components and their configuration: 1. **Resistors:** - The circuit consists of three resistors, each with a resistance of 10 ohms, arranged in a specific configuration. 2. **Components Layout:** - One resistor is connected in series with two other resistors that are in parallel. The upper resistor (10Ω) is connected to another pair of resistors (each 10Ω) below it. 3. **Current and Voltage Notations:** - There are current notations associated with each pathway: - \( \tilde{I}_R \), \( \tilde{I}_W \), \( \tilde{I}_B \), and \( \tilde{I}_N \). - Voltage notations are present for the reference points: - \( \tilde{V}_R \), \( \tilde{V}_W \), \( \tilde{V}_B \). - The currents \( \tilde{I}_R \) and \( \tilde{I}_W \) are directed through two of the resistor branches, indicating the flow of current from these points. 4. **Ground Symbol:** - The circuit is grounded at one point, depicted by the ground symbol, suggesting a reference point for voltages in the circuit. This circuit can be analyzed to determine current distributions, voltage drops, and resistance calculations by applying circuit laws such as Ohm's Law and Kirchhoff's Rules.
Transcribed Image Text:### Circuit Diagram Explanation The diagram (Figure P7.62) is a depiction of a basic electrical circuit composed of resistors and current paths. Here is a detailed explanation of the components and their configuration: 1. **Resistors:** - The circuit consists of three resistors, each with a resistance of 10 ohms, arranged in a specific configuration. 2. **Components Layout:** - One resistor is connected in series with two other resistors that are in parallel. The upper resistor (10Ω) is connected to another pair of resistors (each 10Ω) below it. 3. **Current and Voltage Notations:** - There are current notations associated with each pathway: - \( \tilde{I}_R \), \( \tilde{I}_W \), \( \tilde{I}_B \), and \( \tilde{I}_N \). - Voltage notations are present for the reference points: - \( \tilde{V}_R \), \( \tilde{V}_W \), \( \tilde{V}_B \). - The currents \( \tilde{I}_R \) and \( \tilde{I}_W \) are directed through two of the resistor branches, indicating the flow of current from these points. 4. **Ground Symbol:** - The circuit is grounded at one point, depicted by the ground symbol, suggesting a reference point for voltages in the circuit. This circuit can be analyzed to determine current distributions, voltage drops, and resistance calculations by applying circuit laws such as Ohm's Law and Kirchhoff's Rules.
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