How to convert real power in watts (W) to apparent power in kilovolt-amps (kVA).

The apparent power S in kilovolt-amps (kVA) is equal to the real power P in watts (W), divided by 1000 times the power factor PF:

*S*_{(kVA)} = * P*_{(W)} / (1000 × *PF*)

So kilovolt-amps are equal to watts divided by 1000 times the power factor.

kilovolt-amps = watts / (1000 × PF)

or

kVA = W / (1000 × PF)

What is the apparent power in kilovolt-amps when the real power is 3000W and the power factor is 0.8?

Solution:

*S* = 3000W / (1000 × 0.8) = 3.75kVA

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