Repulsion force between two magnets

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Discussion Overview

The discussion revolves around the repulsive force between two magnets, particularly focusing on the factors that influence this force, such as distance, material properties, and temperature. Participants explore theoretical and empirical aspects of magnetism, including the application of Coulomb's law and the complexities of magnetic interactions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions the total repulsive force between two magnets that can each lift 100 lbs, suggesting that the empirical formula of Coulomb indicates a force that varies with distance.
  • Another participant proposes a method to calculate the repulsive force by considering an arbitrary point between the magnets and integrating the forces at various distances, although they express uncertainty about their approach.
  • Some participants highlight that the lifting capacity of magnets is dependent on the material being lifted, indicating that the repulsive force and lifting capacity are not directly related.
  • Temperature effects on magnetic performance are discussed, with examples of materials behaving differently at low temperatures, such as superconductors, which may complicate the understanding of repulsion.
  • A participant expresses frustration over the lack of a simple theory of magnetism that can be applied to real-world scenarios, suggesting that existing electromagnetic theories may not adequately address the complexities of permanent magnets.
  • Another participant asserts that if each magnet can lift 100 lbs of a high permeability metal, then the repulsive force when attempting to push them together would also be 100 lbs, due to the magnetization of the high permeability material.
  • Concerns are raised about the relevance of superconductors in the context of the original question, indicating a potential misunderstanding of the phenomena being discussed.

Areas of Agreement / Disagreement

Participants express various viewpoints on the relationship between lifting capacity and repulsive force, as well as the influence of material properties and temperature. There is no consensus on a definitive answer to the original question, and multiple competing views remain throughout the discussion.

Contextual Notes

Limitations include the dependence on specific material properties, the effects of temperature on magnetic behavior, and the unresolved mathematical steps in calculating the repulsive force between magnets.

Vic88
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If I used two magnet, each being able to lift a load of 100 lb, to repel each other, what will be the total repulsive force ?
 
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On what basis...?IIRC,the empirical formula of Coulomb gives a ~1/(r^2 ) interaction force.

Daniel.

EDIT:Why did you delete your post...? :bugeye:
 
deleted post because I ignored all other fields lines

Physics is not my speciality but I believe that this may be an answer:

How far away are they?

Lets presume it is x.

The forces will interact at every point of x. If we take an arbitary point p, it will be y from one of the magnets, and 1-y from the other.

As we move the point y from one magnet to the other, we generate an inifinite number of points of repulsion.

As repulsion decreases at [tex]\frac{1}{r^2}[/tex], the sum is always,

[tex]\frac{m}{y^2} + \frac{m}{(1-y)^2}[/tex]

(where [tex]m[/tex] is the magnetic force @ 0 distance)

y equals 0-1 as it moves from one magnet to the other, so the solution is the sum using the values of y 1 to 0 as limits.

I think. some physicist will tell you there is a better way but I reckon by using common sense that is pretty close! :biggrin:

And there you go - a physicist did!

Regards,

M
 
Last edited:
Can it lift 100 lbs. of paper? Might sound stupid, but the point is that the amount you lift depends on the material you are lifting. So the two (what you can lift, and force of repulsion between magnets) are unrelated.
 
krab said:
Might sound stupid, but the point is that the amount you lift depends on the material you are lifting. So the two (what you can lift, and force of repulsion between magnets) are unrelated.

It also depends on temperature. I saw a demonstration where a material was dipped in liquid nitrogen then placed over a magnet. The supercooled material floated over the magnet for maybe a minute until it heated up, then it dropped as if somebody cut a string holding it up.
 
Isn't it surprising that a question that should have a simple answer, doesnt?

I like E&M, but the way physicists understand magnetism is ovbiously inadequate for even the simplest situations involving permanent magnets.

I wish there was a simple theory of magnetism which could be applied to the real world, instead of magnetic fields and V x B forces (which I love, but are useless in all but the simplest geometries). Yes, it is possible to answer these questions using standard E&M, but it strikes me as a square peg - round hole type of problem.
 
If each magnet can pick up 100 pounds of a high mu metal, then the repulsive force if you try to push them together is 100 pounds. The high mu metal becomes magnetized so that it has the magnetization M of a magnet of the same strength as the one picking it up.
 
ShawnD said:
It also depends on temperature. I saw a demonstration where a material was dipped in liquid nitrogen then placed over a magnet. The supercooled material floated over the magnet for maybe a minute until it heated up, then it dropped as if somebody cut a string holding it up.

You need to be a bit careful here because what you saw might possibly be a superconductor (probably YBCO) and a magnet. This is a different concept that what is being asked in this question, I believe.

Zz.
 

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