# How to convert kilowatts to volts

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

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

### DC kW to volts calculation formula

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

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

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

volt = 1000 × kilowatts / amp

or

V = 1000 × kW / A

#### Example

What is the voltage in volts when the power consumption is 4 kilowatts and the current flow is 3 amps?

*V* = 4 kW / 3A = 1333.333V

### AC single phase watts to volts calculation formula

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

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

So volts are equal to watts divided by power factor times amps.

volts = 1000
× kilowatts / (*PF* × amps)

or

V = 1000
× W / (*PF* × A)

#### Example

What is the RMS voltage in volts when the power consumption is 4 kilowatts, the power factor is 0.8 and the phase current is 3.75 amps?

*V* = 1000
× 4kW / (0.8 × 3.75A) = 1333.333V

### AC three phase watts to volts calculation formula

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

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

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

volts = 1000
× kilowatts / (*√*3
× * PF* × amps)

or

V = 1000
× kW / (*√*3
× * PF* × A)

#### Example

What is the RMS voltage in volts when the power consumption is 4 kilowatts, the power factor is 0.8 and the phase current flow is 2.165 amps?

*V* = 1000
× 4kW / (*√*3
× 0.8 × 2.165A) = 1333V