A three-phase 480-V 1200-kVA synchronous generator supplies rated load at a lagging power factor of 75 percent. If the efficiency of the generator is 90 percent, what horsepower is the prime mover delivering to the generator?
A three-phase 480-V 1200-kVA synchronous generator supplies rated load at a lagging power factor of 75 percent. If the efficiency of the generator is 90 percent, what horsepower is the prime mover delivering to the generator?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
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Question
8-
![The image is a diagram of a three-phase electrical winding, typical for a stator in an electric motor or generator. This diagram is labeled as "Figure 8."
### Diagram Description:
1. **Circular Layout**: The diagram features a concentric circular pattern, representing the arrangement of windings.
2. **Phases**:
- **L1, L2, L3**: These denote the three phases of the electrical system. Each phase is connected to a distinct set of windings.
- **Arrow Indicators**: Arrows labeled L1, L2, and L3 point outward from the circle, indicating the terminals of each phase.
3. **Windings**:
- Each section around the circle represents a coil of wire, shown in a series of loops, symbolizing electrical windings.
- The coils are evenly distributed and grouped into sections around the circle.
4. **Sections**:
- The circle is divided into multiple segments, each containing a similar set of windings, indicative of a polyphase system.
### Educational Context:
This type of diagram is used to illustrate how three-phase electrical windings are arranged in devices like motors and generators. The symmetrical pattern ensures balanced magnetic fields and efficient operation, critical for industrial and commercial electrical applications. Understanding this configuration is essential for students studying electrical engineering and electromagnetism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fd25a76-afc7-4f14-9922-23d929144709%2F784ef03a-311b-493f-97c7-10728500f7ca%2Fe6lqpgs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image is a diagram of a three-phase electrical winding, typical for a stator in an electric motor or generator. This diagram is labeled as "Figure 8."
### Diagram Description:
1. **Circular Layout**: The diagram features a concentric circular pattern, representing the arrangement of windings.
2. **Phases**:
- **L1, L2, L3**: These denote the three phases of the electrical system. Each phase is connected to a distinct set of windings.
- **Arrow Indicators**: Arrows labeled L1, L2, and L3 point outward from the circle, indicating the terminals of each phase.
3. **Windings**:
- Each section around the circle represents a coil of wire, shown in a series of loops, symbolizing electrical windings.
- The coils are evenly distributed and grouped into sections around the circle.
4. **Sections**:
- The circle is divided into multiple segments, each containing a similar set of windings, indicative of a polyphase system.
### Educational Context:
This type of diagram is used to illustrate how three-phase electrical windings are arranged in devices like motors and generators. The symmetrical pattern ensures balanced magnetic fields and efficient operation, critical for industrial and commercial electrical applications. Understanding this configuration is essential for students studying electrical engineering and electromagnetism.
![### Power Factor and Current Rating Problems
**B) 80 percent power factor?**
a) 487.5 kW
b) 780 kW
c) 975 kW
d) none of the above
**C) 50 percent power factor?**
a) 487.5 kW
b) 780 kW
c) 975 kW
d) none of the above
**D-F.** If the voltage rating is 2400 V, what is the current rating at each power factor?
**D) Unity power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
**E) 80 percent power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
**F) 50 percent power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
---
### Generator Problem
**8.** A three-phase 480-V 1200-kVA synchronous generator supplies rated load at a lagging power factor of 75 percent. If the efficiency of the generator is 90 percent, what horsepower is the prime mover delivering to the generator?
a) 1201 hp
b) 1340 hp
c) 1787 hp
d) none of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fd25a76-afc7-4f14-9922-23d929144709%2F784ef03a-311b-493f-97c7-10728500f7ca%2Fv1zmi9p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Power Factor and Current Rating Problems
**B) 80 percent power factor?**
a) 487.5 kW
b) 780 kW
c) 975 kW
d) none of the above
**C) 50 percent power factor?**
a) 487.5 kW
b) 780 kW
c) 975 kW
d) none of the above
**D-F.** If the voltage rating is 2400 V, what is the current rating at each power factor?
**D) Unity power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
**E) 80 percent power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
**F) 50 percent power factor**
a) 234.55 A
b) 325 A
c) 406.25 A
d) none of the above
---
### Generator Problem
**8.** A three-phase 480-V 1200-kVA synchronous generator supplies rated load at a lagging power factor of 75 percent. If the efficiency of the generator is 90 percent, what horsepower is the prime mover delivering to the generator?
a) 1201 hp
b) 1340 hp
c) 1787 hp
d) none of the above
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