Transformer Turns Ratio Calculator

Calculate transformer turns ratio using primary and secondary voltages

Transformer Turns Ratio Calculator

Compliant with IEEE C57.12.00 Standards

Results

Turns Ratio (a): 0.00

Transformer Type: -

Phase Configuration: -

Transformer Rating: -

How to Use Transformer Turns Ratio Calculator

Step 1: Select Configuration

  1. Choose between Single Phase or Three Phase transformer
  2. Enter the transformer rating in kVA
  3. This information helps classify your transformer type

Step 2: Enter Voltages

  1. Input the Primary Voltage in volts
  2. Input the Secondary Voltage in volts
  3. Ensure both values are in the same voltage units

Step 3: Calculate

  1. Click "Calculate Turns Ratio" button
  2. View the calculated turns ratio
  3. Check if it's a step-up or step-down transformer
  4. Review the step-by-step calculation process

Theory & Applications

What is Turns Ratio?

  • Ratio of primary winding turns to secondary winding turns
  • Determines voltage transformation relationship
  • Key parameter for transformer design and analysis
  • Affects current transformation inversely

Transformer Types

  • Step-Up: Turns ratio < 1 (increases voltage)
  • Step-Down: Turns ratio > 1 (decreases voltage)
  • Isolation: Turns ratio = 1 (same voltage)
  • Used in power distribution and electronic circuits

Key Relationships:

• Voltage ratio = Turns ratio

• Current ratio = 1/Turns ratio

• Power remains constant (ideal transformer)

Formula & Calculation

Primary Formula:

a = Vp / Vs

Where:

• a = Turns ratio

• Vp = Primary voltage

• Vs = Secondary voltage

Real-Life Example

Problem: A single-phase transformer has a primary voltage of 240V and secondary voltage of 120V. Calculate the turns ratio.

Given:

• Primary Voltage (Vp) = 240V

• Secondary Voltage (Vs) = 120V

Solution:

Step 1: Apply the turns ratio formula

a = Vp / Vs

Step 2: Substitute the values

a = 240V / 120V = 2

Result: The turns ratio is 2:1, indicating this is a step-down transformer that reduces voltage by half.

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