FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Back EMF of Synchronous Motor given Armature Winding Constant Formula

GoBack EMF of Synchronous Motor using Mechanical Power Formula

Fx Copy

LaTeX Copy

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. Check FAQs

E b = K a \cdot Φ \cdot N s

E_b - Back EMF?K_a - Armature Winding Constant?Φ - Magnetic Flux?N_s - Synchronous Speed?

Back EMF of Synchronous Motor given Armature Winding Constant Example

With values

With units

Only example

Here is how the Back EMF of Synchronous Motor given Armature Winding Constant equation looks like with Values.

Here is how the Back EMF of Synchronous Motor given Armature Winding Constant equation looks like with Units.

Here is how the Back EMF of Synchronous Motor given Armature Winding Constant equation looks like.

178.6058 = 0.61 \cdot 0.12 \cdot 23300

178.6058V = 0.61 \cdot 0.12Wb \cdot 23300rev/min

178.6058 = 0.61 \cdot 0.12 \cdot 23300

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Machine » fx Back EMF of Synchronous Motor given Armature Winding Constant

Back EMF of Synchronous Motor given Armature Winding Constant Solution

Follow our step by step solution on how to calculate Back EMF of Synchronous Motor given Armature Winding Constant?

FIRST Step Consider the formula

E b = K a \cdot Φ \cdot N s

Next Step Substitute values of Variables

∴

E b = 0.61 \cdot 0.12Wb \cdot 23300rev/min

Next Step Convert Units

∴

E b = 0.61 \cdot 0.12Wb \cdot 2439.9703rad/s

Next Step Prepare to Evaluate

∴

E b = 0.61 \cdot 0.12 \cdot 2439.9703

Next Step Evaluate

∴

E b = 178.605825532792V

LAST Step Rounding Answer

∴

E b = 178.6058V

Back EMF of Synchronous Motor given Armature Winding Constant Formula Elements

Variables

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 Winding Constant

Armature Winding Constant is defined as the ratio of the voltage applied to the motor terminals to the speed of the motor under no-load conditions.

Symbol: K_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Armature Winding Constant

Magnetic Flux

Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Formulas to find Magnetic Flux

Synchronous Speed

Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Synchronous Speed

Other Formulas to find Back EMF

Go Back EMF of Synchronous Motor using Mechanical Power

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

Other formulas in Voltage and EMF category

Go Voltage of Synchronous Motor given Input Power

V = \frac{P in}{I a \cdot \cos (Φ s)}

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 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 Voltage Equation of Synchronous Motor

V = E b + I a \cdot Z S

How to Evaluate Back EMF of Synchronous Motor given Armature Winding Constant?

Back EMF of Synchronous Motor given Armature Winding Constant evaluator uses Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed to evaluate the Back EMF, The Back EMF of Synchronous Motor given Armature Winding Constant formula is defined as the opposite electromotive force induced into the synchronous motor. Back EMF is denoted by E_b symbol.

How to evaluate Back EMF of Synchronous Motor given Armature Winding Constant using this online evaluator? To use this online evaluator for Back EMF of Synchronous Motor given Armature Winding Constant, enter Armature Winding Constant (K_a), Magnetic Flux (Φ) & Synchronous Speed (N_s) and hit the calculate button.

FAQs on Back EMF of Synchronous Motor given Armature Winding Constant

What is the formula to find Back EMF of Synchronous Motor given Armature Winding Constant?

The formula of Back EMF of Synchronous Motor given Armature Winding Constant is expressed as Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed. Here is an example- 178.6058 = 0.61*0.12*2439.97029416382.

How to calculate Back EMF of Synchronous Motor given Armature Winding Constant?

With Armature Winding Constant (K_a), Magnetic Flux (Φ) & Synchronous Speed (N_s) we can find Back EMF of Synchronous Motor given Armature Winding Constant using the formula - Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed.

What are the other ways to Calculate Back EMF?

Here are the different ways to Calculate Back EMF-

Back EMF=Mechanical Power/(Armature Current*cos(Load Angle-Phase Difference))

Can the Back EMF of Synchronous Motor given Armature Winding Constant be negative?

Yes, the Back EMF of Synchronous Motor given Armature Winding Constant, measured in Electric Potential can be negative.

Which unit is used to measure Back EMF of Synchronous Motor given Armature Winding Constant?

Back EMF of Synchronous Motor given Armature Winding Constant is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Back EMF of Synchronous Motor given Armature Winding Constant can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit