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How-to guide

How to Calculate Transformer Turns Ratio: Formula, Steps & Examples

Learn how to calculate Transformer Turns Ratio — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Arjun Desai, B.Tech (Engineering) · Updated Jun 2026 · 2 min read

Calculating your turns ratio (primary : secondary) is straightforward once you know the Transformer Turns Ratio formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Transformer Turns Ratio Calculator.

What is Transformer Turns Ratio?

The Transformer Turns Ratio calculation tells you your turns ratio (primary : secondary) from a few simple inputs. The figure you are solving for here is the turns ratio (primary : secondary).

The Transformer Turns Ratio formula

The core formula is:

Turns ratio (primary : secondary) = Primary voltage ÷ Secondary voltage

Here is what each input means:

  • Primary voltage — a value measured in V. Example: 230 V.
  • Secondary voltage — a value measured in V. Example: 12 V.
  • Primary turns — a number. Example: 1,000.

How to calculate it step by step

  • Write down the primary voltage (for example, 230 V).
  • Write down the secondary voltage (for example, 12 V).
  • Write down the primary turns (for example, 1,000).
  • Apply the formula above to get your turns ratio (primary : secondary).
  • Double-check the result with the Transformer Turns Ratio Calculator.

Worked examples

Example 1

Input / OutputValue
Primary voltage230 V
Secondary voltage12 V
Primary turns1,000
Turns ratio (primary : secondary)19.167
Secondary turns52

With primary voltage of 230 V, secondary voltage of 12 V and primary turns of 1,000, the turns ratio (primary : secondary) works out to 19.167.

Example 2

With primary voltage of 460 V, secondary voltage of 12 V and primary turns of 1,000, the turns ratio (primary : secondary) works out to 38.333.

ResultValue
Turns ratio (primary : secondary)38.333
Secondary turns26

Example 3

With primary voltage of 120 V, secondary voltage of 12 V and primary turns of 1,000, the turns ratio (primary : secondary) works out to 10.000.

ResultValue
Turns ratio (primary : secondary)10.000
Secondary turns100

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Transformer Turns Ratio Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring electrical calculators with these tools: Wire Resistance Calculator, Watts to Amps Calculator, kVA to kW Calculator, kWh to Joules Calculator, Resistance from Power Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Turns ratio (primary : secondary) = Primary voltage ÷ Secondary voltage. With primary voltage of 230 V, secondary voltage of 12 V and primary turns of 1,000, the turns ratio (primary : secondary) works out to 19.167.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Transformer Turns Ratio Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Arjun Desai · B.Tech (Engineering)

Arjun Desai is an engineer who writes about the practical physics, electronics and energy calculations behind everyday technology.