How to convert real power in kilowatts (kW) to apparent power in volt-amps (VA).

The apparent power S in volt-amps (VA) is equal to 1000 times the real power P in kilowatts (kW), divided by the power factor PF:

*S*_{(VA)} = * *1000 × *P*_{(kW)}* *
/ *PF*

So volt-amps are equal to 1000 times kilowatts divided by the power factor.

volt-amps = 1000 × kilowatts / PF

or

VA = 1000 × kW / PF

What is the apparent power in volt-amps when the real power is 3 kW and the power factor is 0.8?

Solution:

*S* = 1000 × 3kW / 0.8 = 3750VA

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