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Hysteresis Coefficient Formula

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Hysteresis Coefficient is the constant in a formula for hysteresis loss that is characteristic of the substance under test. Check FAQs

η = \frac{p h}{f \cdot {B m}^{k}}

η - Hysteresis Coefficient?p_h - Hysteresis Loss per Unit Volume?f - Frequency?B_m - Maximum Flux Density?k - Steinmetz Coefficient?

Hysteresis Coefficient Example

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Here is how the Hysteresis Coefficient equation looks like with Values.

Here is how the Hysteresis Coefficient equation looks like with Units.

Here is how the Hysteresis Coefficient equation looks like.

0.5097 = \frac{950}{45 \cdot {10.25}^{1.6}}

0.5097 = \frac{950}{45Hz \cdot {10.25T}^{1.6}}

0.5097 = \frac{950}{45 \cdot {10.25}^{1.6}}

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Hysteresis Coefficient Solution

Follow our step by step solution on how to calculate Hysteresis Coefficient?

FIRST Step Consider the formula

η = \frac{p h}{f \cdot {B m}^{k}}

Next Step Substitute values of Variables

∴

η = \frac{950}{45Hz \cdot {10.25T}^{1.6}}

Next Step Prepare to Evaluate

∴

η = \frac{950}{45 \cdot {10.25}^{1.6}}

Next Step Evaluate

∴

η = 0.509744920579006

LAST Step Rounding Answer

∴

η = 0.5097

Hysteresis Coefficient Formula Elements

Variables

Hysteresis Coefficient

Hysteresis Coefficient is the constant in a formula for hysteresis loss that is characteristic of the substance under test.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hysteresis Coefficient

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.

Symbol: p_h

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hysteresis Loss per Unit Volume

Frequency

Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Maximum Flux Density

Maximum Flux Density is the measure of the number of magnetic lines of force per unit of cross-sectional area.

Symbol: B_m

Measurement: Magnetic Flux DensityUnit: T

Note: Value should be greater than 0.

Formulas to find Maximum Flux Density

Steinmetz Coefficient

Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be between 1.5 to 2.01.

Formulas to find Steinmetz Coefficient

Other formulas in Magnetic Instruments category

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Go Magneto Motive Force(MMF)

mmf = Φ \cdot R

Go Reluctance of Magnetic Circuit

R = \frac{mmf}{Φ}

How to Evaluate Hysteresis Coefficient?

Hysteresis Coefficient evaluator uses Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient) to evaluate 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 evaluate Hysteresis Coefficient using this online evaluator? To use this online evaluator 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.

FAQs on Hysteresis Coefficient

What is the formula to find Hysteresis Coefficient?

The formula of Hysteresis Coefficient is expressed as Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient). Here is an example- 0.022039 = 950/(45*10.25^1.6).

How to calculate Hysteresis Coefficient?

With Hysteresis Loss per Unit Volume (p_h), Frequency (f), Maximum Flux Density (B_m) & Steinmetz Coefficient (k) we can find Hysteresis Coefficient using the formula - Hysteresis Coefficient = Hysteresis Loss per Unit Volume/(Frequency*Maximum Flux Density^Steinmetz Coefficient).

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Hysteresis Coefficient Formula

Hysteresis Coefficient Example

Hysteresis Coefficient Solution

Hysteresis Coefficient Formula Elements

Other formulas in Magnetic Instruments category

How to Evaluate Hysteresis Coefficient?

FAQs on Hysteresis Coefficient

Variable Name