Amps to kilowatts conversion formula (AC single phase)

Amps to kilowatts conversion formula (AC single phase)

The real power P in kilowatts is equal to the power factor PF times the phase current I in amps, times the RMS voltage V in volts divided by 1000:
P(kW) = PF × I(A) × V(V) / 1000
So kilowatts are equal to power factor times amps times volts divided by 1000:
kilowatt = PF × amp × volt / 1000
or
kW = PF × A × V / 1000

Example

What is power consumption in kW when the power factor is 0.8 and the phase current is 3A and the RMS voltage supply is 110V?
Answer: 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 = 0.264kW

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