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Power Factor Calculator

Find power factor from nonnegative real power and reactive power magnitude for sinusoidal AC.

Power factor

0.600000
Apparent power
500.0000 VA

Formula

S = √(P² + Q²); PF = P/S.

Real power P: 300 W · Apparent power ≈ sqrt((300 W)^2+(400)^2) · Power factor ≈ (300 W)÷(500)

How to use

  1. Enter nonnegative real power P.
  2. Enter the magnitude of reactive power Q in var.
  3. Read PF and apparent power.

Examples

  • 300 W and 400 var give PF = 0.6 and 500 VA.

Frequently asked questions

What does PF mean?

It is real power divided by apparent power, from 0 to 1 for consuming loads.

Does this cover harmonics?

No. P² + Q² = S² here assumes sinusoidal operation.

Does the result show leading or lagging?

No. Q is entered as a magnitude; its sign is not determined.

Can both powers be zero?

No. With P = Q = 0, apparent power is zero and PF is undefined.

Sources

Updated:

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