Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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.
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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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