What is the transformation ratio for this transformer? Is a = + - 4A = Ep = 100V 20 TURNS LOAD 30 TURNS + Es
What is the transformation ratio for this transformer? Is a = + - 4A = Ep = 100V 20 TURNS LOAD 30 TURNS + Es
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![**Title**: Transformer Transformation Ratio Calculation
**Diagram Explanation**:
The diagram illustrates a simple transformer circuit with the following components:
- **Primary Side**:
- Voltage (\(E_p\)) = 100V
- Current = 4A
- Number of Turns = 20
- **Secondary Side**:
- Current (\(I_s\)) travels through a load
- Voltage (\(E_s\))
- Number of Turns = 30
**Question**: What is the transformation ratio for this transformer?
**Formula**:
The transformation ratio (\(a\)) is determined by the ratio of the number of turns in the secondary coil to the number of turns in the primary coil.
\[ a = \frac{\text{Number of Turns in Secondary}}{\text{Number of Turns in Primary}} = \frac{30}{20} \]
Therefore, the transformation ratio (\(a\)) is:
\[ a = 1.5 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad9295fc-5481-4a7f-a168-320e8bdc5958%2F9568651d-747e-446f-9f98-c5d023a980f0%2Fv3tguom_processed.png&w=3840&q=75)
Transcribed Image Text:**Title**: Transformer Transformation Ratio Calculation
**Diagram Explanation**:
The diagram illustrates a simple transformer circuit with the following components:
- **Primary Side**:
- Voltage (\(E_p\)) = 100V
- Current = 4A
- Number of Turns = 20
- **Secondary Side**:
- Current (\(I_s\)) travels through a load
- Voltage (\(E_s\))
- Number of Turns = 30
**Question**: What is the transformation ratio for this transformer?
**Formula**:
The transformation ratio (\(a\)) is determined by the ratio of the number of turns in the secondary coil to the number of turns in the primary coil.
\[ a = \frac{\text{Number of Turns in Secondary}}{\text{Number of Turns in Primary}} = \frac{30}{20} \]
Therefore, the transformation ratio (\(a\)) is:
\[ a = 1.5 \]
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