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Power Factor given Power Factor Angle Formula

GoPower Factor given Power Formula

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Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage. Check FAQs

cosΦ = \cos (Φ)

cosΦ - Power Factor?Φ - Phase Difference?

Power Factor given Power Factor Angle Example

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

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

Here is how the Power Factor given Power Factor Angle equation looks like.

0.866 = \cos (30)

0.866 = \cos (30°)

0.866 = \cos (30)

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Power Factor given Power Factor Angle Solution

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

FIRST Step Consider the formula

cosΦ = \cos (Φ)

Next Step Substitute values of Variables

∴

cosΦ = \cos (30°)

Next Step Convert Units

∴

cosΦ = \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

cosΦ = \cos (0.5236)

Next Step Evaluate

∴

cosΦ = 0.866025403784439

LAST Step Rounding Answer

∴

cosΦ = 0.866

Power Factor given Power Factor Angle Formula Elements

Variables

Functions

Power Factor

Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.

Symbol: cosΦ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.000001.

Formulas to find Power Factor

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

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)

Other Formulas to find Power Factor

Go Power Factor given Power

cosΦ = \frac{P}{V \cdot I}

Other formulas in Power Factor and Q Factor category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Capacitance given Cut off Frequency

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Go Capacitance using Time Constant

C = \frac{τ}{R}

How to Evaluate Power Factor given Power Factor Angle?

Power Factor given Power Factor Angle evaluator uses Power Factor = cos(Phase Difference) to evaluate the Power Factor, Power Factor given Power Factor Angle is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by cosΦ symbol.

How to evaluate Power Factor given Power Factor Angle using this online evaluator? To use this online evaluator for Power Factor given Power Factor Angle, enter Phase Difference (Φ) and hit the calculate button.

FAQs on Power Factor given Power Factor Angle

What is the formula to find Power Factor given Power Factor Angle?

The formula of Power Factor given Power Factor Angle is expressed as Power Factor = cos(Phase Difference). Here is an example- 0.866025 = cos(0.5235987755982).

How to calculate Power Factor given Power Factor Angle?

With Phase Difference (Φ) we can find Power Factor given Power Factor Angle using the formula - Power Factor = cos(Phase Difference). This formula also uses Cosine function(s).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=Real Power/(Voltage*Current)

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