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Armature Current of Synchronous Motor given 3 Phase Mechanical Power Formula

GoArmature Current of Synchronous Motor given Input 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 = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

I_a - Armature Current?P_in(3Φ) - Three Phase Input Power?P_me(3Φ) - Three Phase Mechanical Power?R_a - Armature Resistance?

Armature Current of Synchronous Motor given 3 Phase Mechanical Power Example

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Here is how the Armature Current of Synchronous Motor given 3 Phase Mechanical Power equation looks like with Values.

Here is how the Armature Current of Synchronous Motor given 3 Phase Mechanical Power equation looks like with Units.

Here is how the Armature Current of Synchronous Motor given 3 Phase Mechanical Power equation looks like.

3.7 = \sqrt{\frac{1584 - 1056.2505}{3 \cdot 12.85}}

3.7A = \sqrt{\frac{1584W - 1056.2505W}{3 \cdot 12.85Ω}}

3.7 = \sqrt{\frac{1584 - 1056.2505}{3 \cdot 12.85}}

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Armature Current of Synchronous Motor given 3 Phase Mechanical Power Solution

Follow our step by step solution on how to calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I a = \sqrt{\frac{1584W - 1056.2505W}{3 \cdot 12.85Ω}}

Next Step Prepare to Evaluate

∴

I a = \sqrt{\frac{1584 - 1056.2505}{3 \cdot 12.85}}

LAST Step Evaluate

∴

I a = 3.7A

Armature Current of Synchronous Motor given 3 Phase Mechanical 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

Three Phase Input Power

Three Phase Input Power is defined as the three phase power supplied an synchronous motor.

Symbol: P_in(3Φ)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Three Phase Input Power

Three Phase Mechanical Power

Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.

Symbol: P_me(3Φ)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Three Phase Mechanical Power

Armature Resistance

The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

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.

Syntax: sqrt(Number)

Other Formulas to find Armature Current

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

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 3 Phase Mechanical Power?

Armature Current of Synchronous Motor given 3 Phase Mechanical Power evaluator uses Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)) to evaluate the Armature Current, The Armature Current of Synchronous Motor given 3 phase Mechanical 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 3 Phase Mechanical Power using this online evaluator? To use this online evaluator for Armature Current of Synchronous Motor given 3 Phase Mechanical Power, enter Three Phase Input Power (P_in(3Φ)), Three Phase Mechanical Power (P_me(3Φ)) & Armature Resistance (R_a) and hit the calculate button.

FAQs on Armature Current of Synchronous Motor given 3 Phase Mechanical Power

What is the formula to find Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

The formula of Armature Current of Synchronous Motor given 3 Phase Mechanical Power is expressed as Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)). Here is an example- 3.7 = sqrt((1584-1056.2505)/(3*12.85)).

How to calculate Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

With Three Phase Input Power (P_in(3Φ)), Three Phase Mechanical Power (P_me(3Φ)) & Armature Resistance (R_a) we can find Armature Current of Synchronous Motor given 3 Phase Mechanical Power using the formula - Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

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

Can the Armature Current of Synchronous Motor given 3 Phase Mechanical Power be negative?

Yes, the Armature Current of Synchronous Motor given 3 Phase Mechanical Power, measured in Electric Current can be negative.

Which unit is used to measure Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

Armature Current of Synchronous Motor given 3 Phase Mechanical 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 3 Phase Mechanical Power can be measured.

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Armature Current of Synchronous Motor given 3 Phase Mechanical Power Formula

​GoArmature Current of Synchronous Motor given Input Power Formula

​GoArmature Current of Synchronous Motor given Mechanical Power Formula

Armature Current of Synchronous Motor given 3 Phase Mechanical Power Example

Armature Current of Synchronous Motor given 3 Phase Mechanical Power Solution

Armature Current of Synchronous Motor given 3 Phase Mechanical Power Formula Elements

Other Formulas to find Armature Current

Other formulas in Current category

How to Evaluate Armature Current of Synchronous Motor given 3 Phase Mechanical Power?

FAQs on Armature Current of Synchronous Motor given 3 Phase Mechanical Power

Variable Name

GoArmature Current of Synchronous Motor given Input Power Formula

GoArmature Current of Synchronous Motor given Mechanical Power Formula