Transformers & motors

Transformer Turns Ratio Calculator

For an ideal transformer, voltage ratio equals turns ratio and is inverse to current ratio. Real losses and regulation are outside this relationship.

Calculate ideal voltage, turns, and inverse current relationships between transformer windings.

Enter values

Advanced assumptions

Calculated result

Ideal transformer ratio

Calculating…

Calculated locally in your browser

Planning math only. Verify equipment specifications and installation requirements separately.

Transformer turns ratio relationship diagramAn original simplified machine diagram paired with the current calculator result.RATING · VOLTAGE · LOADRESULTCalculated locallyFORMULA VISIBLEINPUTS EDITABLE
Transformer Turns Ratio Calculator relationship diagram. The illustration supports the text result; it is not a wiring or installation drawing.

What this calculator returns

Real transformers have losses, regulation, impedance, and thermal limits that the ideal ratio does not model.

Formula and variables

The calculation runs entirely in your browser. Static formulas, definitions, examples, and tables remain readable without JavaScript.

Formula

Vp/Vs = Np/Ns = Is/Ip for an ideal transformer.

P
Real or mechanical power, as identified by the calculator.
S
Apparent power in VA or kVA.
V
Winding, line, or load voltage.
I
Winding, line, or estimated input current.
PF
Entered power factor where real and apparent power differ.
η
Entered conversion or motor efficiency.

V is winding voltage, N is turns count, and I is current magnitude.

Worked example

Worked example inputs and result
InputValue
Primary voltage120 V
Secondary voltage12 V
Result120 V primary and 12 V secondary gives an ideal 10:1 turns ratio; 1 A primary corresponds to 10 A secondary ideally.

120 V primary and 12 V secondary gives an ideal 10:1 turns ratio; 1 A primary corresponds to 10 A secondary ideally.

Reference table

Nominal rating examples calculated from the ideal single-phase and balanced three-phase kVA-current equations. Verify real equipment ratings separately.
Apparent rating240 V single-phase480 V three-phase
1 kVA4.17 A at 240 V 1φ1.20 A at 480 V 3φ
5 kVA20.83 A at 240 V 1φ6.01 A at 480 V 3φ
10 kVA41.67 A at 240 V 1φ12.03 A at 480 V 3φ
25 kVA104.17 A at 240 V 1φ30.07 A at 480 V 3φ

Frequently asked questions

Is this transformer turns-ratio result code compliant?

No. PowerTotals performs transparent electrical math and planning estimates. Installation decisions must be checked against equipment documentation, the adopted code, and the authority having jurisdiction.

Are my inputs uploaded?

No. Calculations run locally in your browser, and analytics never receives raw electrical values.

Assumptions and limitations

  • Ideal transformer only.
  • No protection, conductor, or loading recommendation.

Method and sources

Read the calculation methodology, review the technical sources, or browse the reference table index. Last reviewed .

Related calculators