kW to Amps Calculator

Convert kilowatts to amps for single-phase, three-phase and DC supplies

Free tool, no sign-up needed Sign up free

Supply

V

Line-to-line, 400 V in Australia and New Zealand

cos φ

0.8 is a common assumption; 1 for resistive loads such as heaters

Power

kW

The load's input power; for a motor, use its output divided by the efficiency

Current

Enter the power in kW to get the current.

How It's Calculated

The current follows from the real power, the voltage and the power factor. For AC the power factor turns the real power (kW) into the apparent power (kVA) that the current actually carries:

  • Three-phase: , with the line-to-line voltage
  • Single-phase: , with the phase-to-neutral voltage
  • DC:

The apparent power is and the reactive power . The three-phase formula assumes a balanced load, the same current in each line.

Worked Example

A 10 kW load on a 400 V three-phase supply at a power factor of 0.8:

  • I = 10 × 1000 / (1.732 × 400 × 0.8) = 18.04 A per line
  • S = 10 / 0.8 = 12.5 kVA, Q = 7.5 kVAr
  • The same 10 kW on 230 V single-phase draws 54.3 A

Frequently Asked Questions

kW to Amps Questions Answered

How do I convert kW to amps for three-phase?

Divide the power in watts by √3, the line-to-line voltage and the power factor: I = P × 1000 / (√3 × V × cos φ). 10 kW at 400 V and a power factor of 0.8 draws about 18.0 A per line.

How do I convert kW to amps for single-phase?

Divide the power in watts by the voltage and the power factor: I = P × 1000 / (V × cos φ). 10 kW at 230 V and 0.8 draws about 54.3 A; a purely resistive 10 kW load (power factor 1) draws 43.5 A.

How many amps is 1 kW?

At 230 V single-phase and unity power factor, 1 kW is about 4.35 A. At 400 V three-phase it is about 1.44 A per line at unity power factor, or 1.80 A at a power factor of 0.8.

What power factor should I use?

Use the equipment's nameplate figure when you have it. Resistive loads such as heaters and hot water elements are 1.0; induction motors run around 0.8 to 0.9 at full load; 0.8 is the usual assumption when nothing better is known. DC has no power factor.

Why does the three-phase formula have √3 in it?

In a balanced three-phase system the line-to-line voltage is √3 times the phase voltage, and the total power is three times the power in each phase. Writing the power in terms of the line voltage and line current leaves a factor of √3 ≈ 1.732.

Can I use this for a motor?

Not directly. A motor's kW rating is its shaft output, so the electrical input is higher by the efficiency. Use the motor full load current calculator, or better, the nameplate current.

Is the current the same as the cable or breaker size?

No. The current is the load's design current. The cable is then sized for that current after derating, and the protective device rated between the two, as AS/NZS 3000 Clause 2.5 requires.

Reviewed by Ahmed Tayeh, electrical engineer at CableHero. The calculator is a design aid: the designer remains responsible for checking the installation against the standards.

More free tools

Other calculators

Size the Cable for That Current

Take the current into the cable size calculator for the current rating, derating and voltage drop to AS/NZS 3008.1.1:2025.