Hysteresis Coefficient Calculator

✖Hysteresis loss per unit volume is defined as the loss which occurs because of the reversal of the magnetizing force.ⓘ Hysteresis Loss per Unit Volume [p_h]			+10% -10%
✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency [f]			+10% -10%
✖Maximum Flux Density is the measure of the number of magnetic lines of force per unit of cross-sectional area.ⓘ Maximum Flux Density [B_m]			+10% -10%
✖Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.ⓘ Steinmetz Coefficient [k]			+10% -10%

✖Hysteresis Coefficient is the constant in a formula for hysteresis loss that is characteristic of the substance under test.ⓘ Hysteresis Coefficient [η]

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Formula

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Hysteresis Coefficient

Formula

`"η" = "p"_{"h"}/("f"*"B"_{"m"}^"k")`

Example

`"0.509745"="950"/("45Hz"*("10.25T")^"1.6")`

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Hysteresis Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient)
η = p_h/(f*B_m^k)
This formula uses 5 Variables

Variables Used

Hysteresis Coefficient - Hysteresis Coefficient is the constant in a formula for hysteresis loss that is characteristic of the substance under test.
Hysteresis Loss per Unit Volume - Hysteresis loss per unit volume is defined as the loss which occurs because of the reversal of the magnetizing force.
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Maximum Flux Density - (Measured in Tesla) - Maximum Flux Density is the measure of the number of magnetic lines of force per unit of cross-sectional area.
Steinmetz Coefficient - Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.

STEP 1: Convert Input(s) to Base Unit

Hysteresis Loss per Unit Volume: 950 --> No Conversion Required
Frequency: 45 Hertz --> 45 Hertz No Conversion Required
Maximum Flux Density: 10.25 Tesla --> 10.25 Tesla No Conversion Required
Steinmetz Coefficient: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = p_h/(f*B_m^k) --> 950/(45*10.25^1.6)

Evaluating ... ...

η = 0.509744920579006

STEP 3: Convert Result to Output's Unit

0.509744920579006 --> No Conversion Required

FINAL ANSWER

0.509744920579006 ≈ 0.509745 <-- Hysteresis Coefficient

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 18 Magnetic Instruments Calculators

Hysteresis Coefficient

Go Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient)

Number of Turns in Solenoid

Go Number of Coil Turn = (Solenoid Magnetic Field*Solenoid Length)/(Electric Current*[Permeability-vacuum])

Magnetic Field of Solenoid

Go Solenoid Magnetic Field = ([Permeability-vacuum]*Number of Coil Turn*Electric Current)/Solenoid Length

Thickness of Strip

Go Strip Thickness = Maximum Flux Density*(Hall Coefficient*Electric Current)/(Output Voltage)

Hall Coefficient

Go Hall Coefficient = (Output Voltage*Strip Thickness)/(Electric Current*Maximum Flux Density)

Specimen Extension Factor

Go Specimen Extension Factor = (Joints Reluctance+Yokes Reluctance)/Magnetic Circuit Reluctance

Reluctance of Yoke's

Go Yokes Reluctance = Specimen Extension Factor*Magnetic Circuit Reluctance-Joints Reluctance

Reluctance of Joints

Go Joints Reluctance = Specimen Extension Factor*Magnetic Circuit Reluctance-Yokes Reluctance

Number of turns per unit length of magnetic coil

Go Number of Turns per Unit Coil Length = Half Length Apparent Magnetic Force/Half Length Coil Current

Apparent Magnetic Force at length l

Go Full Length Apparent Magnetic Force = Full Length Coil Current*Number of Turns per Unit Coil Length

True Magnetizing Force

Go True Magnetism Force = 2*Full Length Apparent Magnetic Force-Half Length Apparent Magnetic Force

Actual length of Specimen

Go Specimen Actual Length = Specimen Extension/Magnetostriction Constant

Extention of Specimen

Go Specimen Extension = Magnetostriction Constant*Specimen Actual Length

Hysteresis loss per unit volume

Go Hysteresis Loss per Unit Volume = Hysteresis Loop Area*Frequency

Area of hysteresis loop

Go Hysteresis Loop Area = Hysteresis Loss per Unit Volume/Frequency

Reluctance of Magnetic Circuit

Go Magnetic Circuit Reluctance = Magnetomotive Force/Magnetic Flux

Magneto Motive Force(MMF)

Go Magnetomotive Force = Magnetic Flux*Magnetic Circuit Reluctance

Area of Cross-section of Specimen

Go Specimen Cross Section Area = Magnetic Flux/Flux Density

Hysteresis Coefficient Formula

Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient)
η = p_h/(f*B_m^k)

What is the significance of Steinmetz Coefficient?

The Steinmetz coefficient is significant for its role in accurately predicting and optimizing hysteresis losses in magnetic materials. Its application spans various industries, including electronics, power systems, transportation, and renewable energy, where efficient utilization of magnetic energy is critical for advancing technological innovation and sustainability.

How to Calculate Hysteresis Coefficient?

Hysteresis Coefficient calculator uses Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient) to calculate the Hysteresis Coefficient, The Hysteresis Coefficient formula is defined as the intrinsic energy loss characteristics of a magnetic material due to hysteresis, normalized by the frequency of the magnetic field and the maximum flux density raised to a specific power. Hysteresis Coefficient is denoted by η symbol.

How to calculate Hysteresis Coefficient using this online calculator? To use this online calculator for Hysteresis Coefficient, enter Hysteresis Loss per Unit Volume (p_h), Frequency (f), Maximum Flux Density (B_m) & Steinmetz Coefficient (k) and hit the calculate button. Here is how the Hysteresis Coefficient calculation can be explained with given input values -> 0.022039 = 950/(45*10.25^1.6).

FAQ

What is Hysteresis Coefficient?

The Hysteresis Coefficient formula is defined as the intrinsic energy loss characteristics of a magnetic material due to hysteresis, normalized by the frequency of the magnetic field and the maximum flux density raised to a specific power and is represented as η = p_h/(f*B_m^k) or Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient). Hysteresis loss per unit volume is defined as the loss which occurs because of the reversal of the magnetizing force, Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second, Maximum Flux Density is the measure of the number of magnetic lines of force per unit of cross-sectional area & Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.

How to calculate Hysteresis Coefficient?

The Hysteresis Coefficient formula is defined as the intrinsic energy loss characteristics of a magnetic material due to hysteresis, normalized by the frequency of the magnetic field and the maximum flux density raised to a specific power is calculated using Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient). To calculate Hysteresis Coefficient, you need Hysteresis Loss per Unit Volume (p_h), Frequency (f), Maximum Flux Density (B_m) & Steinmetz Coefficient (k). With our tool, you need to enter the respective value for Hysteresis Loss per Unit Volume, Frequency, Maximum Flux Density & Steinmetz Coefficient 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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