Force of interaction between magnets

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Calculating the force between an electromagnet and a bar magnet requires computational analysis, particularly using the finite element method, due to the complexity of magnetic interactions. The force can be approximated using the formula F=2πMM'A when the distance between the magnets is small compared to their dimensions, but this approximation becomes less accurate as the distance increases. The geometry and size of the magnets' ends significantly influence the force calculation, and if the area is comparable to the distance, the simple formula may not apply effectively. For distances around 5 mm, the force can be treated similarly to interactions between charged plates, but additional factors, such as the effects of the magnets' opposite faces, may need to be considered. Overall, precise calculations will depend on the specific dimensions and properties of the magnets involved.
  • #31
The flat end of a bar magnet acts like a uniformly charge sheet with surface charge ##\sigma_m=M##,in the same way that the end of an electrically polarized rod has a surface charge ##\sigma=P##. Then, just as
##E=2\pi\sigma## just outside a charged surface, ##H=2\pi\sigma_m=2\pi M##, and B=H outside the magnet.
If this doesn't help, you may have to read a book. Also, read my post #29 carefully
 
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  • #32
Meir Achuz said:
The flat end of a bar magnet acts like a uniformly charge sheet with surface charge ##\sigma_m=M##,in the same way that the end of an electrically polarized rod has a surface charge ##\sigma=P##. Then, just as
##E=2\pi\sigma## just outside a charged surface, ##H=2\pi\sigma_m=2\pi M##, and B=H outside the magnet.
If this doesn't help, you may have to read a book. Also, read my post #29 carefully
Thanks for the feedback. But in the formation of your expression you have taken ##B=2\pi(M+M')=4\pi M## i.e ##M=M'## but if we go for derivation of the force expression by using ##B=2\pi(M+M')## for two different M and M' we get ##F=1/2{π(M^2+M'^2+2MM')A}.
Also please refer me a good literature for this.
 
  • #33
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