Back EMF of Synchronous Motor given Armature Winding Constant Calculator

✖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.ⓘ Armature Winding Constant [K_a]			+10% -10%
✖Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.ⓘ Magnetic Flux [Φ]			+10% -10%
✖Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.ⓘ Synchronous Speed [N_s]			+10% -10%

✖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.ⓘ Back EMF of Synchronous Motor given Armature Winding Constant [E_b]

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Formula

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Back EMF of Synchronous Motor given Armature Winding Constant

Formula

`"E"_{"b"} = "K"_{"a"}*"Φ"*"N"_{"s"}`

Example

`"178.6058V"="0.61"*"0.12Wb"*"23300rev/min"`

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Back EMF of Synchronous Motor given Armature Winding Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed
E_b = K_a*Φ*N_s
This formula uses 4 Variables

Variables Used

Back EMF - (Measured in Volt) - 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.
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.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.
Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

STEP 1: Convert Input(s) to Base Unit

Armature Winding Constant: 0.61 --> No Conversion Required
Magnetic Flux: 0.12 Weber --> 0.12 Weber No Conversion Required
Synchronous Speed: 23300 Revolution per Minute --> 2439.97029416382 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_b = K_a*Φ*N_s --> 0.61*0.12*2439.97029416382

Evaluating ... ...

E_b = 178.605825532792

STEP 3: Convert Result to Output's Unit

178.605825532792 Volt --> No Conversion Required

FINAL ANSWER

178.605825532792 ≈ 178.6058 Volt <-- Back EMF

(Calculation completed in 00.004 seconds)

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< 6 Voltage & EMF Calculators

Load Voltage of Synchronous Motor given 3 Phase Mechanical Power

Go Load Voltage = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Current*cos(Phase Difference))

Load Voltage of Synchronous Motor using 3 Phase Input Power

Go Load Voltage = Three Phase Input Power/(sqrt(3)*Load Current*cos(Phase Difference))

Back EMF of Synchronous Motor using Mechanical Power

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

Voltage of Synchronous Motor given Input Power

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

Back EMF of Synchronous Motor given Armature Winding Constant

Go Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed

Voltage Equation of Synchronous Motor

Go Voltage = Back EMF+Armature Current*Synchronous Impedance

Back EMF of Synchronous Motor given Armature Winding Constant Formula

Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed
E_b = K_a*Φ*N_s

How does back EMF affects synchronous motor?

Back EMF (Electromotive Force) is an opposing voltage generated by the rotor of a synchronous motor when it rotates. In synchronous motors, the back EMF plays a crucial role in maintaining the synchronization between the rotor and the stator magnetic fields. If the rotor speed changes, the back EMF also changes, which causes a corresponding change in the current flowing through the DC excitation field.

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

Back EMF of Synchronous Motor given Armature Winding Constant calculator uses Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed to calculate 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 calculate Back EMF of Synchronous Motor given Armature Winding Constant using this online calculator? To use this online calculator 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. Here is how the Back EMF of Synchronous Motor given Armature Winding Constant calculation can be explained with given input values -> 178.6058 = 0.61*0.12*2439.97029416382.

FAQ

What is Back EMF of Synchronous Motor given Armature Winding Constant?

The Back EMF of Synchronous Motor given Armature Winding Constant formula is defined as the opposite electromotive force induced into the synchronous motor and is represented as E_b = K_a*Φ*N_s or Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed. 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, Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

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

The Back EMF of Synchronous Motor given Armature Winding Constant formula is defined as the opposite electromotive force induced into the synchronous motor is calculated using Back EMF = Armature Winding Constant*Magnetic Flux*Synchronous Speed. To calculate Back EMF of Synchronous Motor given Armature Winding Constant, you need Armature Winding Constant (K_a), Magnetic Flux (Φ) & Synchronous Speed (N_s). With our tool, you need to enter the respective value for Armature Winding Constant, Magnetic Flux & Synchronous Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Back EMF?

In this formula, Back EMF uses Armature Winding Constant, Magnetic Flux & Synchronous Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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