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Power Factor Formula

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The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit. Check FAQs

PF = V rms \cdot I rms \cdot \cos (φ)

PF - Power Factor?V_rms - Root Mean Square Voltage?I_rms - Root Mean Square Current?φ - Phase Difference?

Power Factor Example

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With units

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Here is how the Power Factor equation looks like with Values.

Here is how the Power Factor equation looks like with Units.

Here is how the Power Factor equation looks like.

18.809 = 7 \cdot 3.8 \cdot \cos (45)

18.809 = 7V \cdot 3.8A \cdot \cos (45°)

18.809 = 7 \cdot 3.8 \cdot \cos (45)

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Power Factor Solution

Follow our step by step solution on how to calculate Power Factor?

FIRST Step Consider the formula

PF = V rms \cdot I rms \cdot \cos (φ)

Next Step Substitute values of Variables

∴

PF = 7V \cdot 3.8A \cdot \cos (45°)

Next Step Convert Units

∴

PF = 7V \cdot 3.8A \cdot \cos (0.7854rad)

Next Step Prepare to Evaluate

∴

PF = 7 \cdot 3.8 \cdot \cos (0.7854)

Next Step Evaluate

∴

PF = 18.8090403795649

LAST Step Rounding Answer

∴

PF = 18.809

Power Factor Formula Elements

Variables

Functions

Power Factor

The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.

Symbol: PF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Power Factor

Root Mean Square Voltage

Root Mean Square Voltage is the square root of the time average of the voltage squared.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Root Mean Square Voltage

Root Mean Square Current

Root Mean Square Current is defined as the root mean square of a given current.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Root Mean Square Current

Phase Difference

Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.

Symbol: φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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I decay = i p \cdot e^{- \frac{T w}{\frac{L}{R}}}

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e = n \cdot A \cdot B \cdot ω \cdot \sin (ω \cdot t)

How to Evaluate Power Factor?

Power Factor evaluator uses Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference) to evaluate the Power Factor, The Power Factor formula is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit, and is a dimensionless number in the closed interval of −1 to 1. Power Factor is denoted by PF symbol.

How to evaluate Power Factor using this online evaluator? To use this online evaluator for Power Factor, enter Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (φ) and hit the calculate button.

FAQs on Power Factor

What is the formula to find Power Factor?

The formula of Power Factor is expressed as Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference). Here is an example- 18.80904 = 7*3.8*cos(0.785398163397301).

How to calculate Power Factor?

With Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (φ) we can find Power Factor using the formula - Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference). This formula also uses Cosine (cos) function(s).

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