How to convert real power in kilowatts (kW) to apparent power in kilovolt-amps (kVA).

The apparent power S in kilovolt-amps (kVA) is equal to the real power P in kilowatts (kW), divided by the power factor PF:

*S*_{(kVA)} = * P*_{(kW)}* *
/ *PF*

So kilovolt-amps are equal to kilowatts divided by the power factor.

kilovolt-amps = kilowatts / PF

or

kVA = kW / PF

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

Solution:

*S* = 3kW / 0.8 = 3.75kVA

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