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Magnetic Flux of Synchronous Motor given Back EMF Formula

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

Φ = \frac{E b}{K a \cdot N s}

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

Magnetic Flux of Synchronous Motor given Back EMF Example

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Here is how the Magnetic Flux of Synchronous Motor given Back EMF equation looks like with Values.

Here is how the Magnetic Flux of Synchronous Motor given Back EMF equation looks like with Units.

Here is how the Magnetic Flux of Synchronous Motor given Back EMF equation looks like.

0.1209 = \frac{180}{0.61 \cdot 23300}

0.1209Wb = \frac{180V}{0.61 \cdot 23300rev/min}

0.1209 = \frac{180}{0.61 \cdot 23300}

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Magnetic Flux of Synchronous Motor given Back EMF Solution

Follow our step by step solution on how to calculate Magnetic Flux of Synchronous Motor given Back EMF?

FIRST Step Consider the formula

Φ = \frac{E b}{K a \cdot N s}

Next Step Substitute values of Variables

∴

Φ = \frac{180V}{0.61 \cdot 23300rev/min}

Next Step Convert Units

∴

Φ = \frac{180V}{0.61 \cdot 2439.9703rad/s}

Next Step Prepare to Evaluate

∴

Φ = \frac{180}{0.61 \cdot 2439.9703}

Next Step Evaluate

∴

Φ = 0.120936704811089Wb

LAST Step Rounding Answer

∴

Φ = 0.1209Wb

Magnetic Flux of Synchronous Motor given Back EMF Formula Elements

Variables

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

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

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 in Mechanical Specification 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 Magnetic Flux of Synchronous Motor given Back EMF?

Magnetic Flux of Synchronous Motor given Back EMF evaluator uses Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed) to evaluate 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 evaluate Magnetic Flux of Synchronous Motor given Back EMF using this online evaluator? To use this online evaluator 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.

FAQs on Magnetic Flux of Synchronous Motor given Back EMF

What is the formula to find Magnetic Flux of Synchronous Motor given Back EMF?

The formula of Magnetic Flux of Synchronous Motor given Back EMF is expressed as Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed). Here is an example- 0.120937 = 180/(0.61*2439.97029416382).

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

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

Can the Magnetic Flux of Synchronous Motor given Back EMF be negative?

No, the Magnetic Flux of Synchronous Motor given Back EMF, measured in Magnetic Flux cannot be negative.

Which unit is used to measure Magnetic Flux of Synchronous Motor given Back EMF?

Magnetic Flux of Synchronous Motor given Back EMF is usually measured using the Weber[Wb] for Magnetic Flux. Milliweber[Wb], Microweber[Wb], Volt Second[Wb] are the few other units in which Magnetic Flux of Synchronous Motor given Back EMF can be measured.

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