Armature Resistance 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%
✖Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.ⓘ Mechanical Power [P_m]			+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 Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.ⓘ Armature Resistance of Synchronous Motor given Input Power [R_a]

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Formula

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Armature Resistance of Synchronous Motor given Input Power

Formula

`"R"_{"a"} = ("P"_{"in"}-"P"_{"m"})/("I"_{"a"}^2)`

Example

`"12.8561Ω"=("769W"-"593W")/(("3.70A")^2)`

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Armature Resistance of Synchronous Motor given Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)
R_a = (P_in-P_m)/(I_a^2)
This formula uses 4 Variables

Variables Used

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.
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.
Mechanical Power - (Measured in Watt) - Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
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
Mechanical Power: 593 Watt --> 593 Watt No Conversion Required
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = (P_in-P_m)/(I_a^2) --> (769-593)/(3.7^2)

Evaluating ... ...

R_a = 12.8560993425858

STEP 3: Convert Result to Output's Unit

12.8560993425858 Ohm --> No Conversion Required

FINAL ANSWER

12.8560993425858 ≈ 12.8561 Ohm <-- Armature Resistance

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 2 Impedance Calculators

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

Armature Resistance of Synchronous Motor given Input Power

Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)

< 25 Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

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

Power Factor of Synchronous Motor given 3 Phase Mechanical Power

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

Distribution Factor in Synchronous Motor

Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))

Load Current of Synchronous Motor using 3 Phase Input Power

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

3 Phase Input Power of Synchronous Motor

Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

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

Armature Current of Synchronous Motor given Mechanical Power

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

Power Factor of Synchronous Motor using 3 Phase Input Power

Go Power Factor = Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Phase Angle between Voltage and Armature Current given Input Power

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

Armature Current of Synchronous Motor given Input Power

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

Input Power of Synchronous Motor

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

Armature Resistance of Synchronous Motor given Input Power

Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)

Magnetic Flux of Synchronous Motor given Back EMF

Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Power Factor of Synchronous Motor given Input Power

Go Power Factor = Input Power/(Voltage*Armature Current)

Angular Slot Pitch in Synchronous Motor

Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Number of Poles given Synchronous Speed in Synchronous Motor

Go Number of Poles = (Frequency*120)/Synchronous Speed

Synchronous Speed of Synchronous Motor

Go Synchronous Speed = (120*Frequency)/Number of Poles

Synchronous Speed of Synchronous Motor given Mechanical Power

Go Synchronous Speed = Mechanical Power/Gross Torque

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

Armature Resistance of Synchronous Motor given Input Power Formula

Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)
R_a = (P_in-P_m)/(I_a^2)

How does a synchronous motor work?

Typically, the synchronous motor has a stator with a winding similar to that of an induction motor. Its rotor produces a constant magnetic field, either from a direct current in its windings or by use of permanent magnets. The rotor’s magnetic field tends to align with the rotating field produced by the three-phase alternating currents in the stator.

How to Calculate Armature Resistance of Synchronous Motor given Input Power?

Armature Resistance of Synchronous Motor given Input Power calculator uses Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2) to calculate the Armature Resistance, The Armature Resistance of Synchronous Motor given Input Power formula is defined as the resistance of the armature of the synchronous motor. Armature Resistance is denoted by R_a symbol.

How to calculate Armature Resistance of Synchronous Motor given Input Power using this online calculator? To use this online calculator for Armature Resistance of Synchronous Motor given Input Power, enter Input Power (P_in), Mechanical Power (P_m) & Armature Current (I_a) and hit the calculate button. Here is how the Armature Resistance of Synchronous Motor given Input Power calculation can be explained with given input values -> 12.8561 = (769-593)/(3.7^2).

FAQ

What is Armature Resistance of Synchronous Motor given Input Power?

The Armature Resistance of Synchronous Motor given Input Power formula is defined as the resistance of the armature of the synchronous motor and is represented as R_a = (P_in-P_m)/(I_a^2) or Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2). Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it, Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity & Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

How to calculate Armature Resistance of Synchronous Motor given Input Power?

The Armature Resistance of Synchronous Motor given Input Power formula is defined as the resistance of the armature of the synchronous motor is calculated using Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2). To calculate Armature Resistance of Synchronous Motor given Input Power, you need Input Power (P_in), Mechanical Power (P_m) & Armature Current (I_a). With our tool, you need to enter the respective value for Input Power, Mechanical Power & 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 Armature Resistance?

In this formula, Armature Resistance uses Input Power, Mechanical Power & Armature Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)
Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

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