Skip to main content
Mathovia

Electrical / Power & Wattage

Amps to Kilowatts (kW) Conversion Calculator

Calculate real electrical power in kilowatts from current and voltage.

Real Power
1.920 kW
Real Power
1,920.0 W
0050.96101.92152.88203.84AkW10 A1.92 kW
1 A = 0.192 kW

Use the stated electrical relationship and enter values in the displayed units.

Source: Formula conventions follow standard electrical engineering relationships. Verify equipment ratings and local code requirements before installation.

Written by
MPhil in Mathematics, Founder of Mathovia
Published

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

Amps to Kilowatts (kW) Conversion Calculator formula
The Amps to Kilowatts (kW) Conversion formula

Why convert amps to kW

Kilowatts is the unit utilities bill in — a kilowatt-hour is just a kilowatt sustained for an hour. So turning a measured or nameplate current into kilowatts is the first step in estimating what a load costs to run, or in building a panel schedule that has to total up in kW.

The conversion needs three things beyond the current: the voltage, whether the system is single- or three-phase, and the power factor. The power factor matters here because kW is real power — the part that does work — and for motors and electronics, some of the current is reactive and contributes nothing to the kW total.

The amps to kW formula

Single-phase:

Three-phase, line-to-line voltage:

is voltage, is current in amps, is the power factor from 0 to 1. For a resistive load, use .

Worked example

The calculator’s defaults are 10 A at 240 V, single-phase, at a power factor of 0.8.

Real power in watts:

To kilowatts:

If that same 10 A at 240 V were a resistive load — power factor 1 — it would be 2.4 kW. The 0.48 kW difference is the reactive share implied by an 0.8 power factor.

Amps to Kilowatts (kW) Conversion Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Amps to kW reference (single-phase, PF 1)

Current120 V240 V
5 A0.6 kW1.2 kW
10 A1.2 kW2.4 kW
15 A1.8 kW3.6 kW
20 A2.4 kW4.8 kW
30 A3.6 kW7.2 kW

For a motor load, multiply each figure by its power factor; for three-phase, multiply by 1.732.

Turning kW into a cost

Once you have kilowatts, multiply by the hours of use for kilowatt-hours, then by your electricity rate. A 1.92 kW load run three hours a day is about 5.76 kWh daily, or roughly 173 kWh a month. See the kW to kWh calculator for that step.

Common mistakes

  • Assuming power factor 1 for a motor, which overstates the kW.
  • Wrong system type — single-phase selected for a three-phase load inflates the result by ~73%.
  • Confusing kW with kVA. kVA ignores power factor and is always the larger figure.

For the reverse, use the kW to amps calculator. For apparent power, see amps to kVA.

About the formula: Use the stated electrical relationship and enter values in the displayed units.

Frequently Asked Questions

How do I convert amps to kW?+

Multiply voltage, current, and power factor — and √3 for three-phase — then divide by 1,000. kW = (V × A × PF × phase factor) ÷ 1000.

What is 10 amps at 240 volts in kW?+

At a power factor of 0.8, single-phase: 240 × 10 × 0.8 ÷ 1,000 = 1.92 kW. For a resistive load at power factor 1 it's the full 2.4 kW.

What power factor should I use if I don't know it?+

1.0 for resistive loads — heaters, incandescent lighting. 0.8 to 0.9 for a mixed load of motors and electronics. A plug-in power meter or a utility bill with power-factor data gives the real value.

Why is the kW lower than the kVA for the same current?+

kVA ignores power factor; kW includes it. The difference is the reactive power the load pulls without doing work. At a power factor of 0.8, kW is 80% of kVA.

Can I estimate running cost from this?+

Yes. Multiply the kW by the hours of use to get kWh, then by your electricity rate. A 1.92 kW load run 3 hours a day is about 5.76 kWh daily.

Does this give the current a breaker should be sized for?+

No — this converts current to power. For breaker and wire sizing, work from the load's full-load amps and apply the code's continuous-load and derating rules.

Related calculators