Small but powerful magnet?

Hi beer. I'm pretty much a dummy when it comes to magnetic fields, but what I do know is that MRI magnets run between 1 and 3 Tesla. The coils are about 3 feet in diameter and about 4 feet long, consisting of superconducting windings such that the thickness of all these windings is on the order of 2 to 6 inches. They then run a few hundreds of amps through these windings which are immersed in liquid helium to make them superconducting. That's a lot of mass and energy to produce 1 to 3 T, so to suggest you might get 1 or 2 T out of something as small as you're suggesting seems totally unreasonable.

 

No chance. A rare-earth permanent magnet of that size, however, would have about 1T right at the pole face. The field would fall off rapidly with distance.