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It is said that, due to end effects, the assumed poles of a bar magnet are slightly inside the ends of the magnet. The distance between the locations of the assumed poles is called the magnetic length of the magnet. The distance between the ends is called the geometrical length.

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The magnetic length of a bar magnet is nearly $0.84$ times that of the geometric length, which looks quite valid. What would happen if I cut the same bar magnet along the magnetic axis or along a direction perpendicular to the magnetic axis? Would the new poles arrange themselves in order to maintain the same ratio?

Further, is this ratio same for all kinds of magnet independent of the material and geometry?

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  • $\begingroup$ Could you define the term magnetic length within the question? It's not that common. $\endgroup$
    – ACuriousMind ♦
    Commented Mar 5, 2015 at 11:25
  • $\begingroup$ @ACuriousMind: Any inputs? $\endgroup$
    – Swami
    Commented Mar 7, 2015 at 7:12
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    $\begingroup$ Magnets don't actually contain poles, so it's unclear what "magnetic length" means. $\endgroup$
    – knzhou
    Commented Feb 25, 2020 at 23:50
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    $\begingroup$ @knzhou 1) Landau Levels and Magnetic length 2)Why enthalpy change at constant volume is being stated as change in internal energy?. These are some of the posts on magnetic length on physics.SE and don't seem to be from Indian textbooks. $\endgroup$
    – user249968
    Commented Feb 26, 2020 at 4:26
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    $\begingroup$ @Johan Liebert These are completely unrelated uses of the phrase. $\endgroup$
    – knzhou
    Commented Feb 26, 2020 at 4:56

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Yes it will remain constant. Because of this property magnetic strength remains constant when cut transversally.

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