Induced Torque given Magnetic Field Density Calculator

✖Machine Construction Constant is a constant term which is calculated separately to a make calculation less complex.ⓘ Machine Construction Constant [K_f]			+10% -10%
✖Magnetic Permeability is defined as the measure of magnetization that a material obtains in response to an applied magnetic field.ⓘ Magnetic Permeability [μ]			+10% -10%
✖Rotor Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside rotor.ⓘ Rotor Magnetic Flux Density [Φ_r]			+10% -10%
✖Stator Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside the stator.ⓘ Stator Magnetic Flux Density [Φ_s]			+10% -10%

✖Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Induced Torque given Magnetic Field Density [τ]

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Formula

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Induced Torque given Magnetic Field Density

Formula

`"τ" = ("K"_{"f"}/"μ")*"Φ"_{"r"}*"Φ"_{"s"}`

Example

`"0.394667N*m"=("2"/"0.9")*"0.48T"*"0.37T"`

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Induced Torque given Magnetic Field Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density
τ = (K_f/μ)*Φ_r*Φ_s
This formula uses 5 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.
Machine Construction Constant - Machine Construction Constant is a constant term which is calculated separately to a make calculation less complex.
Magnetic Permeability - Magnetic Permeability is defined as the measure of magnetization that a material obtains in response to an applied magnetic field.
Rotor Magnetic Flux Density - (Measured in Tesla) - Rotor Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside rotor.
Stator Magnetic Flux Density - (Measured in Tesla) - Stator Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside the stator.

STEP 1: Convert Input(s) to Base Unit

Machine Construction Constant: 2 --> No Conversion Required
Magnetic Permeability: 0.9 --> No Conversion Required
Rotor Magnetic Flux Density: 0.48 Tesla --> 0.48 Tesla No Conversion Required
Stator Magnetic Flux Density: 0.37 Tesla --> 0.37 Tesla No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (K_f/μ)*Φ_r*Φ_s --> (2/0.9)*0.48*0.37

Evaluating ... ...

τ = 0.394666666666667

STEP 3: Convert Result to Output's Unit

0.394666666666667 Newton Meter --> No Conversion Required

FINAL ANSWER

0.394666666666667 ≈ 0.394667 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 6 Torque & Efficiency Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Induced Torque given Magnetic Field Density

Go Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Gross Torque Developed per Phase

Go Gross Torque = Mechanical Power/Motor Speed

Induced Torque given Magnetic Field Density Formula

Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density
τ = (K_f/μ)*Φ_r*Φ_s

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How to Calculate Induced Torque given Magnetic Field Density?

Induced Torque given Magnetic Field Density calculator uses Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density to calculate the Torque, The Induced Torque given Magnetic Field Density formula is defined as the torque induced in an induction motor due to the magnetic flux generating in the rotor and stator of an induction machine. Torque is denoted by τ symbol.

How to calculate Induced Torque given Magnetic Field Density using this online calculator? To use this online calculator for Induced Torque given Magnetic Field Density, enter Machine Construction Constant (K_f), Magnetic Permeability (μ), Rotor Magnetic Flux Density (Φ_r) & Stator Magnetic Flux Density (Φ_s) and hit the calculate button. Here is how the Induced Torque given Magnetic Field Density calculation can be explained with given input values -> 0.394667 = (2/0.9)*0.48*0.37.

FAQ

What is Induced Torque given Magnetic Field Density?

The Induced Torque given Magnetic Field Density formula is defined as the torque induced in an induction motor due to the magnetic flux generating in the rotor and stator of an induction machine and is represented as τ = (K_f/μ)*Φ_r*Φ_s or Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density. Machine Construction Constant is a constant term which is calculated separately to a make calculation less complex, Magnetic Permeability is defined as the measure of magnetization that a material obtains in response to an applied magnetic field, Rotor Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside rotor & Stator Magnetic Flux Density is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field inside the stator.

How to calculate Induced Torque given Magnetic Field Density?

The Induced Torque given Magnetic Field Density formula is defined as the torque induced in an induction motor due to the magnetic flux generating in the rotor and stator of an induction machine is calculated using Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density. To calculate Induced Torque given Magnetic Field Density, you need Machine Construction Constant (K_f), Magnetic Permeability (μ), Rotor Magnetic Flux Density (Φ_r) & Stator Magnetic Flux Density (Φ_s). With our tool, you need to enter the respective value for Machine Construction Constant, Magnetic Permeability, Rotor Magnetic Flux Density & Stator Magnetic Flux Density 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 Torque?

In this formula, Torque uses Machine Construction Constant, Magnetic Permeability, Rotor Magnetic Flux Density & Stator Magnetic Flux Density. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))
Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

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