Power Factor of Synchronous Motor given Input Power Calculator

✖Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.ⓘ Input Power [P_in]			+10% -10%
✖Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.ⓘ Voltage [V]			+10% -10%
✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%

✖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.ⓘ Power Factor of Synchronous Motor given Input Power [CosΦ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Synchronous Motor Formula PDF PDF Image

Power Factor of Synchronous Motor given Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = Input Power/(Voltage*Armature Current)
CosΦ = P_in/(V*I_a)
This formula uses 4 Variables

Variables Used

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.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.
Voltage - (Measured in Volt) - Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.
Armature Current - (Measured in Ampere) - Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

STEP 1: Convert Input(s) to Base Unit

Input Power: 769 Watt --> 769 Watt No Conversion Required
Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CosΦ = P_in/(V*I_a) --> 769/(240*3.7)

Evaluating ... ...

CosΦ = 0.865990990990991

STEP 3: Convert Result to Output's Unit

0.865990990990991 --> No Conversion Required

FINAL ANSWER

0.865990990990991 ≈ 0.865991 <-- Power Factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » AC Machines » Synchronous Motor » Power Factor and Phase Angle » Power Factor of Synchronous Motor given Input Power

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Power Factor and Phase Angle Calculators

Phase Angle between Voltage and Armature Current given 3 Phase Mechanical Power

LaTeX Go Phase Difference = acos((Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Current*Load Voltage))

Power Factor of Synchronous Motor given 3 Phase Mechanical Power

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

Phase Angle between Load Voltage and Current given 3 Phase Input Power

LaTeX Go Phase Difference = acos(Three Phase Input Power/(sqrt(3)*Voltage*Load Current))

Phase Angle between Voltage and Armature Current given Input Power

LaTeX Go Phase Difference = acos(Input Power/(Voltage*Armature Current))

< Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

LaTeX Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

LaTeX Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

LaTeX Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Armature Current of Synchronous Motor given Input Power

LaTeX Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Power Factor of Synchronous Motor given Input Power Formula

LaTeX Go

Power Factor = Input Power/(Voltage*Armature Current)
CosΦ = P_in/(V*I_a)

What is the power developed by a motor?

In an electric motor, the mechanical power is defined as the speed times the torque. Mechanical power is typically defined as kilowatts (kW) or horsepower (hp) with one watt equaling one joule per second or one Newton-Meter per second.

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

Power Factor of Synchronous Motor given Input Power calculator uses Power Factor = Input Power/(Voltage*Armature Current) to calculate 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 calculate Power Factor of Synchronous Motor given Input Power using this online calculator? To use this online calculator 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. Here is how the Power Factor of Synchronous Motor given Input Power calculation can be explained with given input values -> 0.865991 = 769/(240*3.7).

FAQ

What is Power Factor of Synchronous Motor given Input Power?

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 and is represented as CosΦ = P_in/(V*I_a) or Power Factor = Input Power/(Voltage*Armature Current). Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it, Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines & Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

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

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 is calculated using Power Factor = Input Power/(Voltage*Armature Current). To calculate Power Factor of Synchronous Motor given Input Power, you need Input Power (P_in), Voltage (V) & Armature Current (I_a). With our tool, you need to enter the respective value for Input Power, Voltage & Armature Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Power Factor?

In this formula, Power Factor uses Input Power, Voltage & Armature Current. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search