Calculation of magnetic field

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Discussion Overview

The discussion revolves around calculating the magnetic field density and strength of circular neodymium magnets arranged on a steel disk. Participants explore the necessary formulas and methods for determining the magnetic field at various distances and angles from the magnet poles, as well as the interaction between multiple magnets.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant seeks to calculate the magnetic field density and strength at a distance from the magnet surface, specifically for circular N48 grade magnets on a steel disk.
  • Another participant requests clarification through a visual representation and inquires about the strength and type of magnets used.
  • A third participant provides a link to an online calculator for magnetic fields from neodymium magnets, noting its accuracy under specific conditions.
  • The original poster expresses frustration with online calculators yielding inconsistent results and emphasizes the need for formulas to graph the field density at angles from the poles.
  • One participant questions the notion of a specific point where the magnetic field from one magnet "ends," suggesting that there will be a zero field region between two similarly oriented magnets.
  • The original poster clarifies their intent to determine a threshold for when the magnetic field becomes unusable, indicating a need for calculations rather than additional tools.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of magnetic fields between magnets, with some questioning the concept of a definitive endpoint for a magnetic field while others focus on the need for precise calculations. No consensus is reached on the best approach to calculate the magnetic field or the validity of the existing calculators.

Contextual Notes

Participants mention the need for specific formulas and the limitations of online calculators, which may not account for the presence of other magnets or materials. There is also uncertainty regarding the measurement techniques and the sensitivity of different probes used to detect magnetic fields.

keith03
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I have been working on a generator. I would like to double check the "guidelines" given to me. I need to calculate the magnetic field density and stregnth at given distance away from the magnet surface (pole). I also need to calculate B as they decay to the side.

I have circular magnets on a 1/4" steel disk. They are N48 grade, 1" in diameter, and 1/4 " thick. They are placed at 30 degree intervals around a circle. I need to insure that my diameter is appropriate such that the flux between the magnets at any given diameter of the disk is appropriate. I will also need to know what the flux is at a given distance away from the pole of the magnet.

I would appreciate it if any formulas are provided, that you tell me how you got it.
 
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Seems relatively simple but I can't picture what your talking about... draw a picture in mspaint or similar maybe?

Also, what is the strength of the magnets? What kind of magnet?

Here is the wiki on magnetic fields: 'http://en.wikipedia.org/wiki/Magnetic_field'
That includes the equations you are going to need to use.
 
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Here is an on-line calculator for magnetic fields from neodymium magnets:
http://www.arnoldmagnetics.com/mtc/calc_gauss_cyl.htm
This field calculator is most accurate if there are no other magnets, steel, or current-carrying coils in the vicinity.

Bob S
 
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I need to use the formulas. None of the five online calculators that I have found agree, and also, I will need to graph the field density at an angle from the poles. I want to make a graph of the field. Picture a Round (coin shaped) magnet on a table of steel. The coils will pass from the extereme "left" of the magnet. (no field present), over the top of the magnet, (center of field), and then to the extereme right. (no field present). I need to place the next magnet such that the field from the first magnet ends exactly where the field from the second magnet begins. Hope this helps. I am assuming that cos might account for the angle?? Hope this helps clarify what I am looking for.
 
keith03 said:
I need to place the next magnet such that the field from the first magnet ends exactly where the field from the second magnet begins. Hope this helps.
Surely there’s not a particular point where the field of the first magnet “ends”?
If you place 2 of your magnets, similar poles up, at a certain distance apart then there will be a zero field at a very small midpoint region.

To get an idea of this field first measure it. I’m using a very cheap probe (A1302 Allegro) which will output 1.3mVolt/Gauss. But whatever you are using, detecting zero field when measuring a single magnet will only indicate the sensitivity of your measuring device. The more sensitive your probe the further apart you will find some magnetic field.
 
Although effective, I need the calculated portion to relate to a prototype. I am using extreme examples in my last post to get a point of what I trying to describe across. I will determine when the field is at a unusable point. let's call that "0" It could be 1800 gauss. I just need to get a good idea of what I am even working with. That is where this calculation comes in. I don't want to spend any more money on tools. There has to be a way to calculate this.
 

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