Practical demo - Ferromagnetic attraction at interpole boundary

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SUMMARY

The discussion focuses on the behavior of ferromagnetic objects in the presence of multipolar permanent magnets, specifically concentric alternating-polarity configurations. Using a handheld gauss meter, it was observed that a steel nail snaps to interpole boundaries where the magnetic field (Bz) is approximately zero, while the pointed tip of the nail aligns with the center where Bz is maximal. This indicates that the attractive force is influenced more by field gradients than by local field strength, highlighting the importance of object geometry in magnetic interactions. The inquiry seeks to clarify the relationship between measured field strength and force in these magnet geometries.

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  • Understanding of multipolar permanent magnets and their configurations
  • Familiarity with magnetic field measurement using gauss meters
  • Knowledge of magnetic field gradients and their effects on ferromagnetic materials
  • Basic principles of magnetism, including field strength and flux concentration
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  • Research the mathematical principles of magnetic field gradients in multipolar configurations
  • Explore the effects of object geometry on magnetic attraction in ferromagnetic materials
  • Study the relationship between magnetic field strength and force in practical applications
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Physicists, engineers, and hobbyists interested in magnetism, particularly those exploring the interactions of ferromagnetic materials with multipolar permanent magnets.

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TL;DR
Experiment with flat side or pointed side of a nail and its attractive forces to an alternating pole static magnet
I was experimenting with multipolar permanent magnets (concentric alternating-polarity) and a nail and noticed something that initially seems counterintuitive.

Using a handheld gauss meter, when scanning normal to the magnet face (z-axis), the measured Bz is maximal near the centre of the magnet (furthest from the alternating pole) and approaches zero at the boundaries between adjacent poles, as expected due to axial cancellation.

However, when placing a small ferromagnetic object (e.g. a steel nail) over the magnet:

• With the flat end facing the magnet, the object consistently snaps to the interpole boundaries, precisely where Bz ≈ 0
• When the nail is flipped and the sharp tip faces the magnet, it preferentially aligns over the centre, where Bz is maximal

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This suggests that the attractive force is dominated by field gradients rather than local field magnitude, and that object geometry (flat or point) strongly influences which part of the field is sampled.

Am I correct in interpreting this behaviour as a consequence of ∇(B²) being maximal at the interpole boundaries despite Bz ≈ 0 there? And is the preference of the pointed tip for the centre best explained by flux concentration and field symmetry?

I’m interested in whether there’s a clean way to describe this distinction between measured field strength and force in multipolar permanent magnet geometries.
Thank you.
 

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