Given T2 300, what is n? ↑ 6430° A 4430° A O 150 O 450 O 200 O 600
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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![### Problem Statement
**Given** \( n_2 = 300 \), **what is** \( n_1 \)?
### Circuit Description
The image depicts a transformer circuit.
- **Left Side**:
- An alternating current (AC) source with a current of \(6 \angle 30^\circ\) amperes is shown entering the primary coil.
- **Transformer**:
- Two inductive coils represent the transformer. The coils are labeled with the turns ratio \( n_1 : n_2 \).
- **Right Side**:
- The secondary coil has a current of \(4 \angle 30^\circ\) amperes flowing out of it.
### Question
- Calculate the primary coil turns (\( n_1 \)) based on the given secondary coil turns (\( n_2 = 300 \)).
### Multiple-Choice Options
- [ ] 150
- [ ] 450
- [ ] 200
- [ ] 600
### Explanation
Use the formula for the transformer turns ratio and current:
\[
\frac{I_1}{I_2} = \frac{n_2}{n_1}
\]
Where:
- \(I_1 = 6 \angle 30^\circ \text{ A}\)
- \(I_2 = 4 \angle 30^\circ \text{ A}\)
- \(n_2 = 300\)
Rearrange to solve for \( n_1 \):
\[
n_1 = n_2 \times \frac{I_2}{I_1}
\]
Substitute values to find \( n_1 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd65464ea-20ac-437a-9b4f-902b3affc00d%2F18cf03a5-c739-43dd-b1f3-d26fa3f6f229%2Fny47mbe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Given** \( n_2 = 300 \), **what is** \( n_1 \)?
### Circuit Description
The image depicts a transformer circuit.
- **Left Side**:
- An alternating current (AC) source with a current of \(6 \angle 30^\circ\) amperes is shown entering the primary coil.
- **Transformer**:
- Two inductive coils represent the transformer. The coils are labeled with the turns ratio \( n_1 : n_2 \).
- **Right Side**:
- The secondary coil has a current of \(4 \angle 30^\circ\) amperes flowing out of it.
### Question
- Calculate the primary coil turns (\( n_1 \)) based on the given secondary coil turns (\( n_2 = 300 \)).
### Multiple-Choice Options
- [ ] 150
- [ ] 450
- [ ] 200
- [ ] 600
### Explanation
Use the formula for the transformer turns ratio and current:
\[
\frac{I_1}{I_2} = \frac{n_2}{n_1}
\]
Where:
- \(I_1 = 6 \angle 30^\circ \text{ A}\)
- \(I_2 = 4 \angle 30^\circ \text{ A}\)
- \(n_2 = 300\)
Rearrange to solve for \( n_1 \):
\[
n_1 = n_2 \times \frac{I_2}{I_1}
\]
Substitute values to find \( n_1 \).
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