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Armature Current of Synchronous Motor given Input Power Formula

GoArmature Current of Synchronous Motor given 3 Phase Mechanical Power Formula

GoArmature Current of Synchronous Motor given Mechanical Power Formula

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Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor. Check FAQs

I a = \frac{P in}{\cos (Φ s) \cdot V}

I_a - Armature Current?P_in - Input Power?Φ_s - Phase Difference?V - Voltage?

Armature Current of Synchronous Motor given Input Power Example

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Here is how the Armature Current of Synchronous Motor given Input Power equation looks like with Values.

Here is how the Armature Current of Synchronous Motor given Input Power equation looks like with Units.

Here is how the Armature Current of Synchronous Motor given Input Power equation looks like.

3.6999 = \frac{769}{\cos (30) \cdot 240}

3.6999A = \frac{769W}{\cos (30°) \cdot 240V}

3.6999 = \frac{769}{\cos (30) \cdot 240}

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Armature Current of Synchronous Motor given Input Power Solution

Follow our step by step solution on how to calculate Armature Current of Synchronous Motor given Input Power?

FIRST Step Consider the formula

I a = \frac{P in}{\cos (Φ s) \cdot V}

Next Step Substitute values of Variables

∴

I a = \frac{769W}{\cos (30°) \cdot 240V}

Next Step Convert Units

∴

I a = \frac{769W}{\cos (0.5236rad) \cdot 240V}

Next Step Prepare to Evaluate

∴

I a = \frac{769}{\cos (0.5236) \cdot 240}

Next Step Evaluate

∴

I a = 3.69985297505685A

LAST Step Rounding Answer

∴

I a = 3.6999A

Armature Current of Synchronous Motor given Input Power Formula Elements

Variables

Functions

Armature Current

Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Input Power

Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Input Power

Phase Difference

Phase Difference in Synchronous Motor is defined as the difference in the phase angle of Voltage and Armature current of a synchronous motor.

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

Voltage

Voltage, electric pressure or electric tension is the difference in electric potential between two points in electrical machines.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Armature Current

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Other formulas in Current category

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

Go Load Current of Synchronous Motor using 3 Phase Input Power

I L = \frac{P in(3Φ)}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

Go Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

R a = \frac{P in(3Φ) - P me(3Φ)}{3 \cdot {I a}^{2}}

Go Armature Resistance of Synchronous Motor given Input Power

R a = \frac{P in - P m}{{I a}^{2}}

How to Evaluate Armature Current of Synchronous Motor given Input Power?

Armature Current of Synchronous Motor given Input Power evaluator uses Armature Current = Input Power/(cos(Phase Difference)*Voltage) to evaluate the Armature Current, The Armature Current of Synchronous Motor given Input Power formula is defined as the current that flows into the armature winding of the synchronous motor. Armature Current is denoted by I_a symbol.

How to evaluate Armature Current of Synchronous Motor given Input Power using this online evaluator? To use this online evaluator for Armature Current of Synchronous Motor given Input Power, enter Input Power (P_in), Phase Difference (Φ_s) & Voltage (V) and hit the calculate button.

FAQs on Armature Current of Synchronous Motor given Input Power

What is the formula to find Armature Current of Synchronous Motor given Input Power?

The formula of Armature Current of Synchronous Motor given Input Power is expressed as Armature Current = Input Power/(cos(Phase Difference)*Voltage). Here is an example- 3.699853 = 769/(cos(0.5235987755982)*240).

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

With Input Power (P_in), Phase Difference (Φ_s) & Voltage (V) we can find Armature Current of Synchronous Motor given Input Power using the formula - Armature Current = Input Power/(cos(Phase Difference)*Voltage). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

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

Can the Armature Current of Synchronous Motor given Input Power be negative?

Yes, the Armature Current of Synchronous Motor given Input Power, measured in Electric Current can be negative.

Which unit is used to measure Armature Current of Synchronous Motor given Input Power?

Armature Current of Synchronous Motor given Input Power is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Armature Current of Synchronous Motor given Input Power can be measured.

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