Armature Current of Synchronous Motor given Mechanical 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%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.ⓘ Armature Resistance [R_a]			+10% -10%

✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current of Synchronous Motor given Mechanical Power [I_a]

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Armature Current of Synchronous Motor given Mechanical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
I_a = sqrt((P_in-P_m)/R_a)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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 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

Input Power: 769 Watt --> 769 Watt No Conversion Required
Mechanical Power: 593 Watt --> 593 Watt No Conversion Required
Armature Resistance: 12.85 Ohm --> 12.85 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = sqrt((P_in-P_m)/R_a) --> sqrt((769-593)/12.85)

Evaluating ... ...

I_a = 3.70087801129336

STEP 3: Convert Result to Output's Unit

3.70087801129336 Ampere --> No Conversion Required

FINAL ANSWER

3.70087801129336 ≈ 3.700878 Ampere <-- Armature Current

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Current 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))

Load Current of Synchronous Motor using 3 Phase Input Power

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

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)

< 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 Current of Synchronous Motor given Mechanical Power Formula

LaTeX Go

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

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 Current of Synchronous Motor given Mechanical Power?

Armature Current of Synchronous Motor given Mechanical Power calculator uses Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance) to calculate the Armature Current, The Armature Current of Synchronous Motor given Mechanical Power formula is defined as the current that flows into the armature of the synchronous motor. Armature Current is denoted by I_a symbol.

How to calculate Armature Current of Synchronous Motor given Mechanical Power using this online calculator? To use this online calculator for Armature Current of Synchronous Motor given Mechanical Power, enter Input Power (P_in), Mechanical Power (P_m) & Armature Resistance (R_a) and hit the calculate button. Here is how the Armature Current of Synchronous Motor given Mechanical Power calculation can be explained with given input values -> 3.700878 = sqrt((769-593)/12.85).

FAQ

What is Armature Current of Synchronous Motor given Mechanical Power?

The Armature Current of Synchronous Motor given Mechanical Power formula is defined as the current that flows into the armature of the synchronous motor and is represented as I_a = sqrt((P_in-P_m)/R_a) or Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance). 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 & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.

How to calculate Armature Current of Synchronous Motor given Mechanical Power?

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

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

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

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