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Output Power for Synchronous Motor Formula

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Output Power is the power supplied by the electrical machine to the load connected across it. Check FAQs

P out = {I a}^{2} \cdot R a

P_out - Output Power?I_a - Armature Current?R_a - Armature Resistance?

Output Power for Synchronous Motor Example

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Here is how the Output Power for Synchronous Motor equation looks like with Values.

Here is how the Output Power for Synchronous Motor equation looks like with Units.

Here is how the Output Power for Synchronous Motor equation looks like.

175.9165 = {3.7}^{2} \cdot 12.85

175.9165W = {3.7A}^{2} \cdot 12.85Ω

175.9165 = {3.7}^{2} \cdot 12.85

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Output Power for Synchronous Motor Solution

Follow our step by step solution on how to calculate Output Power for Synchronous Motor?

FIRST Step Consider the formula

P out = {I a}^{2} \cdot R a

Next Step Substitute values of Variables

∴

P out = {3.7A}^{2} \cdot 12.85Ω

Next Step Prepare to Evaluate

∴

P out = {3.7}^{2} \cdot 12.85

LAST Step Evaluate

∴

P out = 175.9165W

Output Power for Synchronous Motor Formula Elements

Variables

Output Power

Output Power is the power supplied by the electrical machine to the load connected across it.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Output 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

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

Other formulas in Power 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 Output Power for Synchronous Motor?

Output Power for Synchronous Motor evaluator uses Output Power = Armature Current^2*Armature Resistance to evaluate the Output Power, The Output Power for Synchronous Motor formula is defined as the difference between input power and mechanical power of the synchronous motor. Output Power is denoted by P_out symbol.

How to evaluate Output Power for Synchronous Motor using this online evaluator? To use this online evaluator for Output Power for Synchronous Motor, enter Armature Current (I_a) & Armature Resistance (R_a) and hit the calculate button.

FAQs on Output Power for Synchronous Motor

What is the formula to find Output Power for Synchronous Motor?

The formula of Output Power for Synchronous Motor is expressed as Output Power = Armature Current^2*Armature Resistance. Here is an example- 175.9165 = 3.7^2*12.85.

How to calculate Output Power for Synchronous Motor?

With Armature Current (I_a) & Armature Resistance (R_a) we can find Output Power for Synchronous Motor using the formula - Output Power = Armature Current^2*Armature Resistance.

Can the Output Power for Synchronous Motor be negative?

Yes, the Output Power for Synchronous Motor, measured in Power can be negative.

Which unit is used to measure Output Power for Synchronous Motor?

Output Power for Synchronous Motor is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Output Power for Synchronous Motor can be measured.

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