Paritian

Electricity

Transformer Turns Ratio Calculator

Voltage ratio and secondary turns of a transformer from the primary and secondary voltages.

Results

Ratio 16.6667
Number 60.0

What this tool does

In an ideal transformer, voltages follow the turns ratio and currents follow its inverse, so a step-down transformer that divides the voltage by ten multiplies the available current by ten. Real transformers lose a few percent to winding resistance and core losses.

Formula

Up ÷ Us = Np ÷ Ns = Is ÷ Ip

Variables

SymbolMeaningUnit
upVoltageV
usVoltageV
npNumber
kRatio
nsNumber

Worked example

  • Voltage400 V
  • Voltage24 V
  • Number1000
  • Ratio16.6667
  • Number60.0

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
  • Electrical installations are governed by national wiring rules. Cable sizing also depends on installation method, grouping, ambient temperature and protection devices, which this calculator does not evaluate.