120 VRMS my What is the secondary voltage if the turns ratio is 1:3? Select one: OA. 360 VRMS OB. 40 VRMS OC. 80 VRMS OD. 240 VRMS
120 VRMS my What is the secondary voltage if the turns ratio is 1:3? Select one: OA. 360 VRMS OB. 40 VRMS OC. 80 VRMS OD. 240 VRMS
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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![### Transformer Voltage Calculation
**Diagram Explanation:**
The image illustrates a transformer with two coils. The primary coil has an input voltage of 120 VRMS, and the turn ratio of the primary to secondary coil is 1:3. This means for every 1 turn in the primary coil, there are 3 turns in the secondary coil.
**Question:**
What is the secondary voltage if the turns ratio is 1:3?
**Select one:**
- A. 360 VRMS
- B. 40 VRMS
- C. 80 VRMS
- D. 240 VRMS
**Explanation:**
The transformer equation relating the primary voltage (Vp), secondary voltage (Vs), and the turns ratio (Np:Ns) is:
\[ Vs = Vp \times \left(\frac{Ns}{Np}\right) \]
Given:
- \( Vp = 120 \, \text{VRMS} \)
- Turns ratio = 1:3
Calculating \( Vs \):
\[ Vs = 120 \times \left(\frac{3}{1}\right) = 360 \, \text{VRMS} \]
Therefore, the correct answer is **A. 360 VRMS**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6ed396a-58be-4ac0-9d00-206a35697371%2Feca1cd93-d85d-474c-9238-696f6adf4408%2F47b8uhl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transformer Voltage Calculation
**Diagram Explanation:**
The image illustrates a transformer with two coils. The primary coil has an input voltage of 120 VRMS, and the turn ratio of the primary to secondary coil is 1:3. This means for every 1 turn in the primary coil, there are 3 turns in the secondary coil.
**Question:**
What is the secondary voltage if the turns ratio is 1:3?
**Select one:**
- A. 360 VRMS
- B. 40 VRMS
- C. 80 VRMS
- D. 240 VRMS
**Explanation:**
The transformer equation relating the primary voltage (Vp), secondary voltage (Vs), and the turns ratio (Np:Ns) is:
\[ Vs = Vp \times \left(\frac{Ns}{Np}\right) \]
Given:
- \( Vp = 120 \, \text{VRMS} \)
- Turns ratio = 1:3
Calculating \( Vs \):
\[ Vs = 120 \times \left(\frac{3}{1}\right) = 360 \, \text{VRMS} \]
Therefore, the correct answer is **A. 360 VRMS**.
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