# How to convert amps to kilowatts

How to convert electric current in amps (A) to electric power in kilowatts (kW).

You can calculate kilowatts from amps and volts. You can't convert amps to kilowatts since kilowatts and amps units do not measure the same quantity.

### DC amps to kilowatts calculation formula

The power *P* in kilowatts is equal to the current *I* in amps, times the voltage *V* in volts divided by 1000:

*P*_{(kW)} = *I*_{(A)}* *×* V*_{(V)} / 1000

So kilowatts are equal to amps times volts divided by 1000:

kilowatt = amp × volt / 1000

or

kW = A × V / 1000

#### Example

What is power consumption in kW when the current is 3A and the voltage supply is 110V?

Answer: the power P is equal to current of 3 amps times the voltage of 110 volts, divided by 1000.

*P* = 3A × 110V / 1000 = 0.33kW

### AC single phase amps to kilowatts calculation formula

The real power *P* in kilowatts is equal to the
power factor *PF* times
the phase current *I* in amps, times the RMS voltage *V* in volts divided by 1000:

*P*_{(kW)} = * PF *×* I*_{(A)}* *×* V*_{(V)} / 1000

So kilowatts are equal to power factor times amps times volts divided by 1000:

kilowatt = * PF *×* *amp × volt / 1000

or

kW = * PF *×* *A × V / 1000

#### Example

What is power consumption in kW when the power factor is 0.8 and the phase current is 3A and the RMS voltage supply is 110V?

Answer: the power P is equal to power factor of 0.8 times current of 3 amps times voltage of 110 volts, divided by 1000.

*P* = 0.8 × 3A × 110V / 1000 = 0.264kW

### AC three phase amps to kilowatts calculation formula

The real power *P* in kilowatts is equal to square root of 3 times the
power factor *PF* times the
phase current
*I* in amps, times the line to line RMS voltage *V*_{L-L} in volts divided by 1000:

*P*_{(kW)} = *√*3
× * PF *×* I*_{(A)}* *×* V*_{L-L(V)} / 1000

So kilowatts are equal to square root of 3 times power factor PF times amps times volts divided by 1000:

kilowatt = *√*3
× * PF *×* *amp × volt / 1000

or

kW = *√*3
× * PF *×* *A × V / 1000

#### Example

What is power consumption in kW when the power factor is 0.8 and the phase current is 3A and the RMS voltage supply is 110V?

Answer: the power P is equal to square root of 3 times power factor of 0.8 times current of 3 amps times the voltage of 110 volts, divided by 1000.

*P* = *√*3 × 0.8 × 3A × 110V / 1000 = 0.457kW

How to convert kilowatts to amps ►