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Voltage of Synchronous Motor given Input Power Formula

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

V = \frac{P in}{I a \cdot \cos (Φ s)}

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

Voltage of Synchronous Motor given Input Power Example

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

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

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

239.9905 = \frac{769}{3.7 \cdot \cos (30)}

239.9905V = \frac{769W}{3.7A \cdot \cos (30°)}

239.9905 = \frac{769}{3.7 \cdot \cos (30)}

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Voltage of Synchronous Motor given Input Power Solution

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

FIRST Step Consider the formula

V = \frac{P in}{I a \cdot \cos (Φ s)}

Next Step Substitute values of Variables

∴

V = \frac{769W}{3.7A \cdot \cos (30°)}

Next Step Convert Units

∴

V = \frac{769W}{3.7A \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

V = \frac{769}{3.7 \cdot \cos (0.5236)}

Next Step Evaluate

∴

V = 239.990463246931V

LAST Step Rounding Answer

∴

V = 239.9905V

Voltage of Synchronous Motor given Input Power Formula Elements

Variables

Functions

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

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

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

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

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 in Voltage and EMF 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 Voltage of Synchronous Motor given Input Power?

Voltage of Synchronous Motor given Input Power evaluator uses Voltage = Input Power/(Armature Current*cos(Phase Difference)) to evaluate the Voltage, The Voltage of Synchronous Motor given Input Power formula is defined as the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. Voltage is denoted by V symbol.

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

FAQs on Voltage of Synchronous Motor given Input Power

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

The formula of Voltage of Synchronous Motor given Input Power is expressed as Voltage = Input Power/(Armature Current*cos(Phase Difference)). Here is an example- 239.9905 = 769/(3.7*cos(0.5235987755982)).

How to calculate Voltage of Synchronous Motor given Input Power?

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

Can the Voltage of Synchronous Motor given Input Power be negative?

No, the Voltage of Synchronous Motor given Input Power, measured in Electric Potential cannot be negative.

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

Voltage of Synchronous Motor given Input Power is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Voltage of Synchronous Motor given Input Power can be measured.

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