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kW to Amps Calculator

Convert real power in kilowatts into line current for DC, single phase or three phase circuits.

kW to A1 phase and 3 phaseDCPower factor
kW
V
cos φ
Current16.37 A
Apparent power11.76 kVA
How this result was calculated
  1. I = P ÷ (√3 × V × pf) = 10,000 ÷ 610.98 = 16.37 A
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kW to Amps Formulas

DC: I = P ÷ V
Single phase: I = P ÷ (V × pf)
Three phase: I = P ÷ (√3 × VL × pf)

P is real power in watts, V the voltage (line to line for three phase) and pf the power factor.

Worked example

10 kW at 415 V three phase with pf 0.85: I = 10,000 ÷ (1.732 × 415 × 0.85) = 16.4 A.

Key insight: for motors, kW on the nameplate is shaft output. Divide by efficiency first, or use the motor full load current calculator.
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Frequently Asked Questions

How many amps is 1 kW?

At 230 V single phase and unity power factor, 1 kW draws 4.35 A. At 415 V three phase with pf 0.85 it draws about 1.64 A.

Why does power factor change the current?

Low power factor means more reactive current flows for the same useful power, so the line current rises as pf falls.

Should I use line or phase voltage for three phase?

Use the line to line voltage with the √3 formula, for example 415 V or 400 V.

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