Output Power for Synchronous Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Power = Armature Current^2*Armature Resistance
Pout = Ia^2*Ra
This formula uses 3 Variables
Variables Used
Output Power - (Measured in Watt) - Output Power is the power supplied by the electrical machine to the load connected across it.
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.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.
STEP 1: Convert Input(s) to Base Unit
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required
Armature Resistance: 12.85 Ohm --> 12.85 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pout = Ia^2*Ra --> 3.7^2*12.85
Evaluating ... ...
Pout = 175.9165
STEP 3: Convert Result to Output's Unit
175.9165 Watt --> No Conversion Required
FINAL ANSWER
175.9165 Watt <-- Output Power
(Calculation completed in 00.004 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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Power Calculators

3 Phase Input Power of Synchronous Motor
​ LaTeX ​ Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)
Mechanical Power of Synchronous Motor
​ LaTeX ​ Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)
Input Power of Synchronous Motor
​ LaTeX ​ Go Input Power = Armature Current*Voltage*cos(Phase Difference)
Mechanical Power of Synchronous Motor given Input Power
​ LaTeX ​ Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

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)

Output Power for Synchronous Motor Formula

​LaTeX ​Go
Output Power = Armature Current^2*Armature Resistance
Pout = Ia^2*Ra

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 Output Power for Synchronous Motor?

Output Power for Synchronous Motor calculator uses Output Power = Armature Current^2*Armature Resistance to calculate the Output Power, The Output Power for Synchronous Motor formula is defined as the difference between input power and mechanical power of the synchronous motor. Output Power is denoted by Pout symbol.

How to calculate Output Power for Synchronous Motor using this online calculator? To use this online calculator for Output Power for Synchronous Motor, enter Armature Current (Ia) & Armature Resistance (Ra) and hit the calculate button. Here is how the Output Power for Synchronous Motor calculation can be explained with given input values -> 175.9165 = 3.7^2*12.85.

FAQ

What is Output Power for Synchronous Motor?
The Output Power for Synchronous Motor formula is defined as the difference between input power and mechanical power of the synchronous motor and is represented as Pout = Ia^2*Ra or Output Power = Armature Current^2*Armature Resistance. Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.
How to calculate Output Power for Synchronous Motor?
The Output Power for Synchronous Motor formula is defined as the difference between input power and mechanical power of the synchronous motor is calculated using Output Power = Armature Current^2*Armature Resistance. To calculate Output Power for Synchronous Motor, you need Armature Current (Ia) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Armature Current & Armature Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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