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Power Factor given Power Formula

GoPower Factor given Power Factor Angle 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 = \frac{P}{V \cdot I}

cosΦ - Power Factor?P - Real Power?V - Voltage?I - Current?

Power Factor given Power Example

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With units

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

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

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

0.8608 = \frac{235}{130 \cdot 2.1}

0.8608 = \frac{235W}{130V \cdot 2.1A}

0.8608 = \frac{235}{130 \cdot 2.1}

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Power Factor given Power Solution

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

FIRST Step Consider the formula

cosΦ = \frac{P}{V \cdot I}

Next Step Substitute values of Variables

∴

cosΦ = \frac{235W}{130V \cdot 2.1A}

Next Step Prepare to Evaluate

∴

cosΦ = \frac{235}{130 \cdot 2.1}

Next Step Evaluate

∴

cosΦ = 0.860805860805861

LAST Step Rounding Answer

∴

cosΦ = 0.8608

Power Factor given Power Formula Elements

Variables

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

Real Power

The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Real Power

Voltage

Voltage is used to determine the value of the potential difference between terminals where alternating current flows.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage

Current

Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current

Other Formulas to find Power Factor

Go Power Factor given Power Factor Angle

cosΦ = \cos (Φ)

Other formulas in Power Factor and Q Factor category

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Go Capacitance given Cut off Frequency

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

Go Capacitance using Time Constant

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How to Evaluate Power Factor given Power?

Power Factor given Power evaluator uses Power Factor = Real Power/(Voltage*Current) to evaluate the Power Factor, Power Factor given Power is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit. Power Factor is denoted by cosΦ symbol.

How to evaluate Power Factor given Power using this online evaluator? To use this online evaluator for Power Factor given Power, enter Real Power (P), Voltage (V) & Current (I) and hit the calculate button.

FAQs on Power Factor given Power

What is the formula to find Power Factor given Power?

The formula of Power Factor given Power is expressed as Power Factor = Real Power/(Voltage*Current). Here is an example- 0.860806 = 235/(130*2.1).

How to calculate Power Factor given Power?

With Real Power (P), Voltage (V) & Current (I) we can find Power Factor given Power using the formula - Power Factor = Real Power/(Voltage*Current).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=cos(Phase Difference)

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