## 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 *P* in kilowatts (kw) is equal to the voltage
*V* in volts (V), times the current *I* in amps (A) divided by 1000:

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

So 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 *P* is 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 *P* in kilowatts (kW) is equal to the
power factor *PF* times the phase current *I* in amps (A), times the RMS voltage *V* in volts (V):

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

So kilowatts are equal to power factor times amps times volts:

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

or

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 *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 = 0.264 kW

### AC three phase volts to kilowatts calculation formula

The real power *P* in kilowatts (kW) is equal to square root of 3 times the power factor *PF* times the phase current *I* in amps (A), times the line to line RMS voltage *V*_{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)} / 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 kilowatts when the power factor is 0.8 and the phase current is 3A and the voltage supply is 110V?

The power *P* is 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