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How does the magnetic flux density of a cylinder shaped magnet mathematically change as you reach the core? does it get stronger or weaker? by how much so, I DON'T mean core going from north to south, but from the outside edge of the diameter of the pole to the center of the diameter of the pole.

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  • $\begingroup$ Is this a solid cylinder or a hollow one? $\endgroup$ – probably_someone Jun 20 '17 at 16:35
  • $\begingroup$ It is not hollow, it's a solid object, just assume it can be hypothetically entered and examined without disrupting said field. $\endgroup$ – Max Jun 21 '17 at 20:03
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A magnet consists of magnetic dipoles. Hence, if you approach the dipoles (=tip of magnet), the magnetic field gets stronger. Once your "probe dipole" enters the magnet, I expect that the field would still increase. However, this should depend on the shape of the magnet.

At the University of Stuttgart Prof. Pfau does a similar things: They take atoms which posses a "strong" magnetic moment and cool them down. Eventually the atoms collapse due to the dipole-dipole interaction -- the atoms form molecules. If they change the shape of the atomic cloud, they observe changes in the collapse.

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