FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Power Factor of Synchronous Motor given Input Power Formula

GoPower Factor of Synchronous Motor using 3 Phase Input Power Formula

GoPower Factor of Synchronous Motor given 3 Phase Mechanical Power Formula

Fx Copy

LaTeX Copy

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

CosΦ = \frac{P in}{V \cdot I a}

CosΦ - Power Factor?P_in - Input Power?V - Voltage?I_a - Armature Current?

Power Factor of Synchronous Motor given Input Power Example

With values

With units

Only example

Here is how the Power Factor of Synchronous Motor given Input Power equation looks like with Values.

Here is how the Power Factor of Synchronous Motor given Input Power equation looks like with Units.

Here is how the Power Factor of Synchronous Motor given Input Power equation looks like.

0.866 = \frac{769}{240 \cdot 3.7}

0.866 = \frac{769W}{240V \cdot 3.7A}

0.866 = \frac{769}{240 \cdot 3.7}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Machine » fx Power Factor of Synchronous Motor given Input Power

Power Factor of Synchronous Motor given Input Power Solution

Follow our step by step solution on how to calculate Power Factor of Synchronous Motor given Input Power?

FIRST Step Consider the formula

CosΦ = \frac{P in}{V \cdot I a}

Next Step Substitute values of Variables

∴

CosΦ = \frac{769W}{240V \cdot 3.7A}

Next Step Prepare to Evaluate

∴

CosΦ = \frac{769}{240 \cdot 3.7}

Next Step Evaluate

∴

CosΦ = 0.865990990990991

LAST Step Rounding Answer

∴

CosΦ = 0.866

Power Factor of Synchronous Motor given Input Power Formula Elements

Variables

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: CosΦ

Measurement: NAUnit: Unitless

Note: Value should be between -0.999 to 1.001.

Formulas to find Power Factor

Input Power

Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Input Power

Voltage

Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage

Armature Current

Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Other Formulas to find Power Factor

Go Power Factor of Synchronous Motor using 3 Phase Input Power

CosΦ = \frac{P in(3Φ)}{\sqrt{3} \cdot V L \cdot I L}

Go Power Factor of Synchronous Motor given 3 Phase Mechanical Power

CosΦ = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot I L}

Other formulas in Power Factor and Phase Angle category

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

How to Evaluate Power Factor of Synchronous Motor given Input Power?

Power Factor of Synchronous Motor given Input Power evaluator uses Power Factor = Input Power/(Voltage*Armature Current) to evaluate the Power Factor, The Power Factor of Synchronous Motor given Input Power formula 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 of Synchronous Motor given Input Power using this online evaluator? To use this online evaluator for Power Factor of Synchronous Motor given Input Power, enter Input Power (P_in), Voltage (V) & Armature Current (I_a) and hit the calculate button.

FAQs on Power Factor of Synchronous Motor given Input Power

What is the formula to find Power Factor of Synchronous Motor given Input Power?

The formula of Power Factor of Synchronous Motor given Input Power is expressed as Power Factor = Input Power/(Voltage*Armature Current). Here is an example- 0.865991 = 769/(240*3.7).

How to calculate Power Factor of Synchronous Motor given Input Power?

With Input Power (P_in), Voltage (V) & Armature Current (I_a) we can find Power Factor of Synchronous Motor given Input Power using the formula - Power Factor = Input Power/(Voltage*Armature Current).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)
Power Factor=(Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*Load Current)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit