Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Calculator

✖Three Phase Input Power is defined as the three phase power supplied an synchronous motor.ⓘ Three Phase Input Power [P_in(3Φ)]			+10% -10%
✖Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.ⓘ Three Phase Mechanical Power [P_me(3Φ)]			+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 3 Phase Mechanical Power [R_a]

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Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)
R_a = (P_in(3Φ)-P_me(3Φ))/(3*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.
Three Phase Input Power - (Measured in Watt) - Three Phase Input Power is defined as the three phase power supplied an synchronous motor.
Three Phase Mechanical Power - (Measured in Watt) - Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.
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

Three Phase Input Power: 1584 Watt --> 1584 Watt No Conversion Required
Three Phase Mechanical Power: 1056.2505 Watt --> 1056.2505 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(3Φ)-P_me(3Φ))/(3*I_a^2) --> (1584-1056.2505)/(3*3.7^2)

Evaluating ... ...

R_a = 12.85

STEP 3: Convert Result to Output's Unit

12.85 Ohm --> No Conversion Required

FINAL ANSWER

12.85 Ohm <-- Armature Resistance

(Calculation completed in 00.020 seconds)

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< Impedance Calculators

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

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

Armature Resistance of Synchronous Motor given Input Power

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

< 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)

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Formula

LaTeX Go

Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)
R_a = (P_in(3Φ)-P_me(3Φ))/(3*I_a^2)

How does a synchronous motor work?

Working of synchronous motors depends on the interaction of the magnetic field of the stator with the magnetic field of the rotor. The stator contains 3 phase windings and is supplied with 3 phase power. Thus, stator winding produces a 3 phased rotating Magnetic- Field.

How to Calculate Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power?

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power calculator uses Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2) to calculate the Armature Resistance, The Armature Resistance of Synchronous Motor given 3 phase Mechanical Power formula is defined as the resistance of the armature winding of the synchronous motor. Armature Resistance is denoted by R_a symbol.

How to calculate Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power using this online calculator? To use this online calculator for Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power, enter Three Phase Input Power (P_in(3Φ)), Three Phase Mechanical Power (P_me(3Φ)) & Armature Current (I_a) and hit the calculate button. Here is how the Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power calculation can be explained with given input values -> 12.85 = (1584-1056.2505)/(3*3.7^2).

FAQ

What is Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power?

The Armature Resistance of Synchronous Motor given 3 phase Mechanical Power formula is defined as the resistance of the armature winding of the synchronous motor and is represented as R_a = (P_in(3Φ)-P_me(3Φ))/(3*I_a^2) or Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2). Three Phase Input Power is defined as the three phase power supplied an synchronous motor, Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft & 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 3 Phase Mechanical Power?

The Armature Resistance of Synchronous Motor given 3 phase Mechanical Power formula is defined as the resistance of the armature winding of the synchronous motor is calculated using Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2). To calculate Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power, you need Three Phase Input Power (P_in(3Φ)), Three Phase Mechanical Power (P_me(3Φ)) & Armature Current (I_a). With our tool, you need to enter the respective value for Three Phase Input Power, Three Phase 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 Three Phase Input Power, Three Phase Mechanical Power & Armature Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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