- Trending Categories
Data Structure
Networking
RDBMS
Operating System
Java
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Transformation Ratio and Turn Ratio of Single-Phase Transformer
What is Turn Ratio?
The turn ratio of a single phase transformer is defined as the ratio of number of turns in the primary winding to the number of turns in the secondary winding, i.e.
$$\mathrm{Turn\:Ratio=\frac{Number\:of\:Primary\:Turns(N_{1})}{Number\:of\:Secondary\:Turns(N_{2})}}$$
Since for a transformer, the voltage per turn being equal in both primary and secondary windings, therefore,
$$\mathrm{\frac{E_{1}}{N_{1}}=\frac{E_{2}}{N_{2}}}$$
$$\mathrm{\Rightarrow\frac{E_{1}}{E_{2}}=\frac{N_{1}}{N_{2}}=Turn\:Ratio}$$
Also, if the given transformer is an ideal one, then E1 = V1 and E2 = V2, thus,
$$\mathrm{Turn\:Ratio=\frac{N_{1}}{N_{2}}=\frac{E_{1}}{E_{2}}=\frac{V_{1}}{V_{2}}}$$
In case of ideal transformer, the input volt-ampere is equal to output volt-ampere, i.e.
$$\mathrm{V_{1}I_{1}=V_{2}I_{2}}$$
$$\mathrm{\Rightarrow\:\frac{V_{1}}{V_{2}}=\frac{I_{2}}{I_{1}}}$$
$$\mathrm{Turn\:Ratio=\frac{N_{1}}{N_{2}}=\frac{E_{1}}{E_{2}}=\frac{V_{1}}{V_{2}}=\frac{I_{2}}{I_{1}}}$$
What is Transformation Ratio?
The transformation ratio is defined as the ratio of output voltage to the input voltage of the transformer. It gives the information about the change in voltage level by the transformer.
$$\mathrm{Transformation\:Ratio(K)=\frac{Transformer\:Output\:Voltage(V_{2})}{Transformer\:Input\:Voltage(V_{1})}}$$
As we known for a transformer, the voltage per turn remains equal in both primary and secondary windings, hence,
$$\mathrm{\frac{V_{1}}{N_{1}}=\frac{V_{2}}{N_{2}}}$$
$$\mathrm{\Rightarrow\frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{1}}=K}$$
Also, for the ideal transformer, E1 = V1 and E2 = V2, thus,
$$\mathrm{K=\frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{1}}=\frac{E_{2}}{E_{1}}}$$
Also, for ideal transformer, the input volt-ampere is equal to output volt-ampere, i.e.
$$\mathrm{V_{1}I_{1}=V_{2}I_{2}}$$
$$\mathrm{\Rightarrow\:\frac{V_{2}}{V_{1}}=\frac{I_{1}}{I_{2}}}$$
Therefore,
$$\mathrm{Transformation\:Ratio, 𝐾=\frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{1}}=\frac{E_{2}}{E_{1}}=\frac{I_{1}}{I_{2}}\:\:\:\:...(2)}$$
- Related Questions & Answers
- EMF Equation of Transformer – Turns & Transformation Ratio of Transformer
- Single Phase Transformer – Construction and Working Principle
- Price-Earnings Ratio vs. Earnings Yield Ratio
- Cash Ratio: Definition and Analysis
- C++ Ratio of Mth and Nth Terms of an A. P. with Given Ratio of Sums
- What are the pitfalls of the Price Earnings Ratio (P/E Ratio)?
- Star-Delta Connection of Transformer | Three - Phase Transformer Connection
- Star-Star Connection of Transformer | Three - Phase Transformer Connection
- Industry Ratio Analysis: Definition and Types
- Profitability Ratio: Definition, Types, and Benefits
- Delta-Star Connection of Transformer – Three-Phase Transformer Connection
- Working Principle of a Three-Phase Transformer
- Explain exchange ratio in mergers and acquisitions
- Liquidity Ratio: Definition, Uses, Types, and Importance
- Ratio Calculator GUI using Tkinter