The armature of a d.c. The machine has a resistance of 0.25 ohm and is connected to a 300V supply. Determine the e.m.f. generated when it runs as a generator giving 100 A and as a motor taking 80 A.
The armature of a d.c. The machine has a resistance of 0.25 ohm and is connected to a 300V supply. Determine the e.m.f. generated when it runs as a generator giving 100 A and as a motor taking 80 A.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![### Problem Statement:
The armature of a d.c. machine has a resistance of 0.25 ohm and is connected to a 300V supply. Determine the e.m.f. generated when it runs as a generator giving 100 A and as a motor taking 80 A.
### Explanation:
This problem involves understanding the operation of a dc machine both as a generator and as a motor. The goal is to calculate the electromotive force (e.m.f.) generated under two conditions:
1. **When the machine is functioning as a generator:**
- Armature current (I) = 100 A
- The formula for e.m.f. (E) when acting as a generator is:
\[
E = V + I \times R
\]
- Substitute the values to solve for E.
2. **When the machine is operating as a motor:**
- Armature current (I) = 80 A
- The formula for e.m.f. (E) when acting as a motor is:
\[
E = V - I \times R
\]
- Substitute the values to solve for E.
In both cases, use ohm's law and basic principles of direct current circuits to determine the e.m.f.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cd2a291-ee82-4360-9f8f-cff52a56aa12%2Ff131507b-c5f3-4d4c-8a8b-9a6d40dbb691%2Fnndwea5_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
The armature of a d.c. machine has a resistance of 0.25 ohm and is connected to a 300V supply. Determine the e.m.f. generated when it runs as a generator giving 100 A and as a motor taking 80 A.
### Explanation:
This problem involves understanding the operation of a dc machine both as a generator and as a motor. The goal is to calculate the electromotive force (e.m.f.) generated under two conditions:
1. **When the machine is functioning as a generator:**
- Armature current (I) = 100 A
- The formula for e.m.f. (E) when acting as a generator is:
\[
E = V + I \times R
\]
- Substitute the values to solve for E.
2. **When the machine is operating as a motor:**
- Armature current (I) = 80 A
- The formula for e.m.f. (E) when acting as a motor is:
\[
E = V - I \times R
\]
- Substitute the values to solve for E.
In both cases, use ohm's law and basic principles of direct current circuits to determine the e.m.f.
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