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Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Formula

GoArmature Resistance of Synchronous Motor given Input Power Formula

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

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

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

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Example

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

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

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

12.85 = \frac{1584 - 1056.2505}{3 \cdot {3.7}^{2}}

12.85Ω = \frac{1584W - 1056.2505W}{3 \cdot {3.7A}^{2}}

12.85 = \frac{1584 - 1056.2505}{3 \cdot {3.7}^{2}}

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Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R a = \frac{1584W - 1056.2505W}{3 \cdot {3.7A}^{2}}

Next Step Prepare to Evaluate

∴

R a = \frac{1584 - 1056.2505}{3 \cdot {3.7}^{2}}

LAST Step Evaluate

∴

R a = 12.85Ω

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

Variables

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

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 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

Other Formulas to find Armature Resistance

Go Armature Resistance of Synchronous Motor given Input Power

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

Other formulas in Impedance category

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 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}}

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)}

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

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power evaluator uses Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2) to evaluate 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 evaluate Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power using this online evaluator? To use this online evaluator 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.

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

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

The formula of Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power is expressed as Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2). Here is an example- 12.85 = (1584-1056.2505)/(3*3.7^2).

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

With Three Phase Input Power (P_in(3Φ)), Three Phase Mechanical Power (P_me(3Φ)) & Armature Current (I_a) we can find Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power using the formula - Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2).

What are the other ways to Calculate Armature Resistance?

Here are the different ways to Calculate Armature Resistance-

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

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

No, the Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power, measured in Electric Resistance cannot be negative.

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

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power can be measured.

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Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Formula

​GoArmature Resistance of Synchronous Motor given Input Power Formula

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Example

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power Solution

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

Other Formulas to find Armature Resistance

Other formulas in Impedance category

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

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

Variable Name

GoArmature Resistance of Synchronous Motor given Input Power Formula