Magnetic Flux of Synchronous Motor given Back EMF Calculator

✖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 [E_b]			+10% -10%
✖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%
✖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%

✖Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.ⓘ Magnetic Flux of Synchronous Motor given Back EMF [Φ]

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Magnetic Flux of Synchronous Motor given Back EMF Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Back EMF: 180 Volt --> 180 Volt No Conversion Required
Armature Winding Constant: 0.61 --> 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

Φ = E_b/(K_a*N_s) --> 180/(0.61*2439.97029416382)

Evaluating ... ...

Φ = 0.120936704811089

STEP 3: Convert Result to Output's Unit

0.120936704811089 Weber --> No Conversion Required

FINAL ANSWER

0.120936704811089 ≈ 0.120937 Weber <-- Magnetic Flux

(Calculation completed in 00.006 seconds)

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< Mechanical Specification Calculators

Magnetic Flux of Synchronous Motor given Back EMF

LaTeX Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

LaTeX Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Angular Slot Pitch in Synchronous Motor

LaTeX Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Number of Poles given Synchronous Speed in Synchronous Motor

LaTeX Go Number of Poles = (Frequency*120)/Synchronous Speed

< Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

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

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

LaTeX Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

LaTeX Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Armature Current of Synchronous Motor given Input Power

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

Magnetic Flux of Synchronous Motor given Back EMF Formula

LaTeX Go

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

How does a synchronous motor work?

Typically, the synchronous motor has a stator with a winding similar to that of an induction motor. Its rotor produces a constant magnetic field, either from a direct current in its windings or by use of permanent magnets. The rotor’s magnetic field tends to align with the rotating field produced by the three-phase alternating currents in the stator.

How to Calculate Magnetic Flux of Synchronous Motor given Back EMF?

Magnetic Flux of Synchronous Motor given Back EMF calculator uses Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed) to calculate the Magnetic Flux, The Magnetic Flux of Synchronous Motor given Back EMF formula is defined as the number of magnetic field lines passing through a given closed surface. It gives the measurement of the total magnetic field that passes through a given surface area. Magnetic Flux is denoted by Φ symbol.

How to calculate Magnetic Flux of Synchronous Motor given Back EMF using this online calculator? To use this online calculator for Magnetic Flux of Synchronous Motor given Back EMF, enter Back EMF (E_b), Armature Winding Constant (K_a) & Synchronous Speed (N_s) and hit the calculate button. Here is how the Magnetic Flux of Synchronous Motor given Back EMF calculation can be explained with given input values -> 0.120937 = 180/(0.61*2439.97029416382).

FAQ

What is Magnetic Flux of Synchronous Motor given Back EMF?

The Magnetic Flux of Synchronous Motor given Back EMF formula is defined as the number of magnetic field lines passing through a given closed surface. It gives the measurement of the total magnetic field that passes through a given surface area and is represented as Φ = E_b/(K_a*N_s) or Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed). 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 is defined as the ratio of the voltage applied to the motor terminals to the speed of the motor under no-load conditions & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

How to calculate Magnetic Flux of Synchronous Motor given Back EMF?

The Magnetic Flux of Synchronous Motor given Back EMF formula is defined as the number of magnetic field lines passing through a given closed surface. It gives the measurement of the total magnetic field that passes through a given surface area is calculated using Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed). To calculate Magnetic Flux of Synchronous Motor given Back EMF, you need Back EMF (E_b), Armature Winding Constant (K_a) & Synchronous Speed (N_s). With our tool, you need to enter the respective value for Back EMF, Armature Winding Constant & Synchronous Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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