## How to convert volts to kilowatts

How to convert electrical voltage in volts (V) to electric power in kilowatts (kW).

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

## DC volts to kilowatts calculation formula

The power

Pin kilowatts (kw) is equal to the voltageVin volts (V), times the currentIin amps (A) divided by 1000:

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

kilowatts = volts × amps / 1000

or

kW = V × A / 1000

## Example

What is power consumption in kilowatts when the current is 3A and the voltage supply is 15V?

The power

Pis equal to current of 3 amps times the voltage of 15 volts divided by 1000.

P= 15V × 3A / 1000 = 0.045 kW## AC single phase volts to kilowatts calculation formula

The real power

Pin kilowatts (kW) is equal to the power factorPFtimes the phase currentIin amps (A), times the RMS voltageVin volts (V):

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

kilowatt =

PF×amp × volt / 1000or

kW =

PF×A × V / 1000## Example

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

The power

Pis 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 = 0.264 kW## AC three phase volts to kilowatts calculation formula

The real power

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

P_{(kW)}=√3 ×PF×I_{(A)}×V_{L-L(V)}/ 1000≈ 1.732 ×

PF×I_{(A)}×V_{L-L(V)}/ 1000So kilowatts are equal to square root of 3 times power factor

PFtimes amps times volts divided by 1000:kilowatt =

√3 ×PF×amp × volt / 1000or

kW =

√3 ×PF×A × V / 1000## Example

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

The power

Pis equal to power factor of 0.8 times current of 3 amps times the voltage of 110 volts divided by 1000.

P_{(kW)}=√3 × 0.8 × 3A × 110V / 1000 = 0.457kW

## See also

- Volts to kW calculator
- How to convert kW to volts
- Amps (A)
- Volts (V)
- Kilowatts (kW)
- Electrical calculation
- Power conversion