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The size of a cup magnet is given by specifying the Outer Diameter x Inner Diameter #1 x Inner Diameter #2 x Thickness. Like discs, most rings are magnetized through their thickness so that the north pole is on one flat surface and the south pole is on the opposite flat surface.
Cup magnets are countersunk ring magnets set inside steel cups. The steel protects the magnet and controls the magnetic field, with the front side being stronger and the backside being weaker than the same magnet without the cup. The countersunk hole works great with screws or bolts.
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