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Power Energy

Power Factor

Power factor is the ratio of active power to apparent power, equal to the cosine of the phase angle between voltage and current in a sinusoidal system. A power factor of 1 means all the apparent power is active power. Inductive loads such as motors operate at a power factor below 1, which means the supply must carry more current than the active power alone would require.

Power Factor
PF = P ÷ S = cos φ

Variables and units

SymbolQuantityUnit
PF Power factor dimensionless
P Active power W
S Apparent power VA
φ Phase angle between voltage and current degrees or radians

Conditions of application

Sinusoidal steady state. Power factor is between 0 and 1 for a passive load; a leading or lagging qualifier describes whether current leads or lags voltage.

Worked example

Solved
Put this formula to work

Calculate power factor, phase angle and the capacitance needed for correction.

Power Factor Calculator →
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