## 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

Pin kilowatts is equal to the currentIin amps, times the voltageVin volts divided by 1000:

P_{(kW)}=I_{(A)}×V_{(V)}/ 1000So 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

Pin kilowatts is equal to the power factorPFtimes the phase currentIin amps, times the RMS voltageVin volts divided by 1000:

P_{(kW)}=PF×I_{(A)}×V_{(V)}/ 1000So kilowatts are equal to power factor times amps times volts divided by 1000:

kilowatt =

PF×amp × volt / 1000or

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

Pin kilowatts is equal to square root of 3 times the power factorPFtimes the phase currentIin amps, times the line to line RMS voltageV_{L-L}in volts divided by 1000:

P_{(kW)}=√3 ×PF×I_{(A)}×V_{L-L(V)}/ 1000So kilowatts are equal to square root of 3 times power factor PF times amps times volts divided by 1000:

kilowatt =

√3 ×PF×amp × volt / 1000or

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 ►

## See also