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Voltage Equation of Synchronous Motor Formula

GoVoltage 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 = E b + I a \cdot Z S

V - Voltage?E_b - Back EMF?I_a - Armature Current?Z_S - Synchronous Impedance?

Voltage Equation of Synchronous Motor Example

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Here is how the Voltage Equation of Synchronous Motor equation looks like with Values.

Here is how the Voltage Equation of Synchronous Motor equation looks like with Units.

Here is how the Voltage Equation of Synchronous Motor equation looks like.

245.675 = 180 + 3.7 \cdot 17.75

245.675V = 180V + 3.7A \cdot 17.75Ω

245.675 = 180 + 3.7 \cdot 17.75

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Voltage Equation of Synchronous Motor Solution

Follow our step by step solution on how to calculate Voltage Equation of Synchronous Motor?

FIRST Step Consider the formula

V = E b + I a \cdot Z S

Next Step Substitute values of Variables

∴

V = 180V + 3.7A \cdot 17.75Ω

Next Step Prepare to Evaluate

∴

V = 180 + 3.7 \cdot 17.75

LAST Step Evaluate

∴

V = 245.675V

Voltage Equation of Synchronous Motor Formula Elements

Variables

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

Back EMF

Back EMF is a voltage that is generated in a motor or generator due to the motion of the armature or rotor. It is called "back" EMF as its polarity opposes the voltage applied.

Symbol: E_b

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Back EMF

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

Synchronous Impedance

The synchronous impedance (Z_S ) is an imaginary impedance employed to account for the voltage effects in the armature circuit of the alternator.

Symbol: Z_S

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Synchronous Impedance

Other Formulas to find Voltage

Go Voltage of Synchronous Motor given Input Power

V = \frac{P in}{I a \cdot \cos (Φ s)}

Other formulas in Voltage and EMF category

Go Load Voltage of Synchronous Motor using 3 Phase Input Power

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

Go Back EMF of Synchronous Motor using Mechanical Power

E b = \frac{P m}{I a \cdot \cos (α - Φ s)}

Go Load Voltage of Synchronous Motor given 3 Phase Mechanical Power

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

Go Back EMF of Synchronous Motor given Armature Winding Constant

E b = K a \cdot Φ \cdot N s

How to Evaluate Voltage Equation of Synchronous Motor?

Voltage Equation of Synchronous Motor evaluator uses Voltage = Back EMF+Armature Current*Synchronous Impedance to evaluate the Voltage, Voltage Equation of Synchronous Motor is similar to that of a transformer, with the back EMF playing the role of the induced voltage in the transformer. Voltage is denoted by V symbol.

How to evaluate Voltage Equation of Synchronous Motor using this online evaluator? To use this online evaluator for Voltage Equation of Synchronous Motor, enter Back EMF (E_b), Armature Current (I_a) & Synchronous Impedance (Z_S) and hit the calculate button.

FAQs on Voltage Equation of Synchronous Motor

What is the formula to find Voltage Equation of Synchronous Motor?

The formula of Voltage Equation of Synchronous Motor is expressed as Voltage = Back EMF+Armature Current*Synchronous Impedance. Here is an example- 245.675 = 180+3.7*17.75.

How to calculate Voltage Equation of Synchronous Motor?

With Back EMF (E_b), Armature Current (I_a) & Synchronous Impedance (Z_S) we can find Voltage Equation of Synchronous Motor using the formula - Voltage = Back EMF+Armature Current*Synchronous Impedance.

What are the other ways to Calculate Voltage?

Here are the different ways to Calculate Voltage-

Voltage=Input Power/(Armature Current*cos(Phase Difference))

Can the Voltage Equation of Synchronous Motor be negative?

No, the Voltage Equation of Synchronous Motor, measured in Electric Potential cannot be negative.

Which unit is used to measure Voltage Equation of Synchronous Motor?

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

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Voltage Equation of Synchronous Motor Formula

​GoVoltage of Synchronous Motor given Input Power Formula

Voltage Equation of Synchronous Motor Example

Voltage Equation of Synchronous Motor Solution

Voltage Equation of Synchronous Motor Formula Elements

Other Formulas to find Voltage

Other formulas in Voltage and EMF category

How to Evaluate Voltage Equation of Synchronous Motor?

FAQs on Voltage Equation of Synchronous Motor

Variable Name

GoVoltage of Synchronous Motor given Input Power Formula