The Magnetic Field Strength of Permanent Magnet

For magnet users, how to confirm the grade and magnetic properties are still a long standing issue. Most of users can’t get the value of main magnetic parameters by themselves. In this case, the relative measurement of magnetic properties is the best solution. The relative measurement of magnetic properties includes magnetic field strength, magnetic flux and magnetic moment. For magnetic flux and magnetic moment testing, different specification need different testing coil, and this is the reason why the magnetic field strength is the most popular testing method among the relative measurement.

How to get the magnetic field strength of magnet?

The magnetic field strength of magnet can be measured by Gauss Meter, or Tesla Meter. Now, many magnet users have their own Gauss Meter, and also establish the acceptance criteria of magnetic field strength. For multi-polar magnet, the magnetic field strength will be measured by Magnet Analyzer.

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How to calculate the magnetic field strength of magnet?

Welcome to use our surface gauss calculators!

For simple shape magnet, we can calculate its approximate magnetic field strength by Biot-Savart law.

For cylinder shape:

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公式1

Where Br is residual induction of magnet; X is the air gap between testing point and magnet’ surface.

For block shape:

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公式2

Where Br is residual induction of magnet; X is the air gap between testing point and magnet’s surface.

For ring shape:

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公式3

Where Br is residual induction of magnet; X is the air gap between testing point and magnet’s surface.

According to above equation, the value of magnetic field strength is affected by magnet’s grade, dimension and testing position. It should be noted that the measured value of Nickel-coated magnet’s magnetic field strength will lower than Biot-Savart simulation value due to shielding effect from ferromagnetism Nickel coating.

For multi-pole magnetization and complex conditions, the designer will learn its strength and distribution of magnetic field by finite element analysis software (FEA or FEM), then accurately estimate the magnetization state and flux distribution of whole magnetic circuit system. The finite element analysis is a powerful tool in development stage of magnet product.

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The finite element analysis technology is widely used in the design of sensor magnet, magnet assembly, and complex magnet system. SDM Magnetics have plenty of experience in finite element analysis of magnet application. SDM Magnetics eager to provide technical solution to customer in the development and cost reducing stage.

The calculated values and simulation results are for reference only, and the deviation between measured value and calculated value from various reasons. The operator need to avoid the deviation from instrument and operation process.

In order to ensure the hall element free of crack, the instrument manufacturer usually make an epoxy resin coating upon the hall element. This coating also produce an air gap, and this air gap is often overlooked during calculation and simulation.

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11 comments

  1. 외경 68mm 내경 12mm 길이 40mm 아마츄어 크기입니다

    Reply
  2. Hi, if I have a permanent magnet with unknown strength and I use gaussmeter to measure the B (magnetic flux), how can I know H (magnetic field strength)? It is known that B=(mu)H, but what “mu” should it be, i.e: “mu” of air or “mu” of the magnet since we measure B on air closer to the magnet and not inside the magnet?

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    1. Many thanks for your comment, please check this link: https://www.lakeshore.com/Documents/Measuring%20Perm%20Magnets%20App%20Note.pdf

      Reply
  3. Здравствуйте. У нас есть проблема.
    1.Необходимо изготовить самарий-кобальтовые магниты диаметр внутренний 25мм. диаметр наружный 50мм. толщина 5мм. Нам необходимо минимум 10шт. Сообщите минимальную партию и стоимость, а также сроки поставки. Ориентировка магнитного поля перпендикулярно оси вращения.
    2. Вы можете рассчитать ЭДС возникающую в катушке диаметр внутренний 55мм. диаметр наружный 75мм. длинна катушки 50мм. Проводник 10х5мм. Скорость перемещения магнитной сборки внутри катушки 0.5 м/сек. и 1м/сек. Если услуга платная сообщите сколько стоит и куда перечислять.
    С уважением Бовин Сергей.

    Reply
  4. What are the units of each variable?

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  5. where are the references for those equations?

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  6. […] surface gauss, magnetic flux, magnetic moment, and pull force. Surface gauss is referring to the magnetic field strength which measured at a certain point of magnet’s surface by Gaussmeter, and it is the most used […]

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  7. لو كان لدينا مغناطيسان متماثلان لو تواجها بقطبين متماثلين فسوف يتنافرا وبالعكس لو كانا مختلفين فهل قوة التجاذب تساوي قوة التنافر وهل في هذه الحالة ( مغناطيسين ) يتضاعف طول الحقل المغناطيسيس ؟ . وشكرا

    Reply
  8. Aus welchen Quellen wurden diese Gleichungen entnommen?

    Reply
  9. look at these 2 calculators, one for pulling force and one for repelling forces. there is a difference.
    https://www.kjmagnetics.com/calculator.asp
    https://www.kjmagnetics.com/calculator.repel.asp

    Reply
  10. are in fact related to the magnetization field M. The H -field, therefore, is analogous to the electric field E, which starts at a positive electric charge and ends at a negative electric charge. Near the north pole, therefore, all H -field lines point away from the north pole (whether inside the magnet or out) while near the south pole all H -field lines point toward the south pole (whether inside the magnet or out). Too, a north pole feels a force in the direction of the H -field while the force on the south pole is opposite to the H -field. d. The magnetic pole model predicts correctly the field H both inside and outside magnetic materials, in particular the fact that H is opposite to the magnetization field M inside a permanent magnet.

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