Why the damaged magnets can"t be joined together? What wake up to the damaged sides in terms of magnetic poles?

Magnetic fields form closed loops. There are no magnetic monopoles. As soon as you rest a magnet in two, the magnetic fields of each half are closeup of the door loops similar to the initial unbroken magnet. If you break a magnet in i beg your pardon the axial ar points exterior from the next of the magnet (parallel come the aircraft of breakage), the two halves will not rejoin, together they shot to align the phibìc pole of one v the southern pole that the other. They upper and lower reversal to make the alignment.

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If, however, you break a magnet in i beg your pardon the axial ar is perpendicular come the airplane of breakage, the two halves will have the same polarization as the unbroken magnet, and should entice each other across the break, uneven the break is jagged and ancillary magnetic areas weaken the polarization.

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just how does the 'open circuit' flux density, the remanence, and the shape of a magnet relate to each other?

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