Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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A balanced Δ load having a 20 Ω resistance in each leg is connected to a three-phase, three-wire, Y-connected generator having a line voltage of 208V. Calculate the magnitude of the following. Express in Eng notation

### Transcription for Educational Use

#### Diagram Explanation:
The image depicts a balanced three-phase system with a delta-connected load. The system consists of a Y-connected (wye-connected) generator and a delta-connected load.

**Generator:**
- Points A, B, and C represent the generator terminals.
- The phase voltages of the generator are:
  - \( E_{AB} = 208 \angle 40^\circ \)
  - \( E_{CA} = 208 \angle 120^\circ \)
  - \( E_{BC} = 208 \angle -120^\circ \)

**Load:**
- Points a, b, and c represent the terminals of the delta-connected load.
- Each component of the delta load has a resistance of 20Ω.

#### Fields for Completion:
1. **The phase voltage of the generator:**
   - \( E_P = \_\_\_\_ \) units \(\_\_\_\_\).

2. **The phase voltage of the load:**
   - \( V_P = \_\_\_\_ \) units.

3. **The phase current of the load:**
   - \( I_P = \_\_\_\_ \) units.

4. **The line current:**
   - \( I_L = \_\_\_\_ \) units.

Each field is to be filled in with appropriate calculations based on the given physical properties and relationships in a balanced system, using principles such as Ohm’s Law and the relationships between line and phase voltages/currents in delta and wye configurations.
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Transcribed Image Text:### Transcription for Educational Use #### Diagram Explanation: The image depicts a balanced three-phase system with a delta-connected load. The system consists of a Y-connected (wye-connected) generator and a delta-connected load. **Generator:** - Points A, B, and C represent the generator terminals. - The phase voltages of the generator are: - \( E_{AB} = 208 \angle 40^\circ \) - \( E_{CA} = 208 \angle 120^\circ \) - \( E_{BC} = 208 \angle -120^\circ \) **Load:** - Points a, b, and c represent the terminals of the delta-connected load. - Each component of the delta load has a resistance of 20Ω. #### Fields for Completion: 1. **The phase voltage of the generator:** - \( E_P = \_\_\_\_ \) units \(\_\_\_\_\). 2. **The phase voltage of the load:** - \( V_P = \_\_\_\_ \) units. 3. **The phase current of the load:** - \( I_P = \_\_\_\_ \) units. 4. **The line current:** - \( I_L = \_\_\_\_ \) units. Each field is to be filled in with appropriate calculations based on the given physical properties and relationships in a balanced system, using principles such as Ohm’s Law and the relationships between line and phase voltages/currents in delta and wye configurations.
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