kW to amps converter

Convert kilowatts to amps, or amps to kilowatts, on a single-phase or three-phase supply.

Uses the UK's declared mains voltage of 230 volts between phase and neutral, from the Electricity Safety, Quality and Continuity Regulations.

Convert
Supply
1 for heaters and kettles. Motors are often lower: check the rating plate.

Result

3 kW is 13.04 amps on a single-phase supply.

amps

Show the workings
StepSumAnswer
Current3,000 W ÷ (230 V × 1 power factor)13.043 A

What this leaves out or assumes

  • UK mains is declared as 230 volts between phase and neutral. The real voltage can be a little higher or lower.
  • A power factor of 1 suits heaters and kettles. Motors and some electronics have a lower one.

Where the figures come from

kW to amps table

Power factor 1
PowerSingle phaseThree phase, each phase
1 kW4.3 A1.4 A
2 kW8.7 A2.9 A
3 kW13 A4.3 A
7 kW30.4 A10.1 A
11 kW47.8 A15.9 A
22 kW95.7 A31.9 A

The sums

Single phase: amps = watts ÷ (volts × power factor). At 230 V and a power factor of 1, a 3 kW kettle draws 13 amps.

Three phase: amps = watts ÷ (√3 × voltage between phases × power factor). The voltage between phases is 230 × √3, which is 398.4 V, often rounded to 400 V. The current is shared across three phases, so it is a third of what one phase would carry.

Power factor is 1 for things that only heat, such as kettles and heaters. Motors and some electronics have a lower power factor and draw more current for the same power. For sizing cables or fuses, ask an electrician.

Work out something else