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- From: mcirvin@husc8.harvard.edu (Matt McIrvin)
- Newsgroups: sci.physics
- Subject: Re: Home made monopoles
- Message-ID: <mcirvin.728156163@husc.harvard.edu>
- Date: 27 Jan 93 17:36:03 GMT
- References: <728137681.AA00483@cheswicks.toadnet.org>
- Lines: 48
- Nntp-Posting-Host: husc8.harvard.edu
-
- John.Brawley@p1.f9.n8012.z86.toadnet.org (John Brawley) writes:
-
- >This mean you cannot make one of these no matter what? (of -course-
- >that's what you mean.... It just seems like it ought to work, say, if
- >you provided serrated (as in rabbeted) perimeter edges... You mean
- >that no matter how tight you make the seams, the field would "leak"
- >through the (say, nanometer wide) join line? What would happen to
- >the sphere _if_, say, you managed to get a perfect join (theoretically
- >speaking)? Would the field "leak" through somwhere else? Metal
- >fatigue and shatter? What? What?
-
- One or the other. The idea was essentially to make a spherical
- shell out of magnetic dipoles. In the limit of an infinitely
- rigid sphere and infinitely robust dipoles, pushing the hemispheres
- together would take an infinite amount of energy; the force you
- need diverges as the edges get closer. A real hemisphere is only
- finitely strong and is made of stuff whose magnetic dipoles will
- reorient if the energy difference is large enough. So at some
- point, either a hemisphere will break or the field will leak
- through the surface (probably the latter, I'd guess).
-
- As long as the magnetic field obeys Maxwell's equations, the thing
- can't be constructed at all.
-
- (I'd thought on this idea several
- >years ago... I wanted to make a "floating ball" that sat in a
- >concave all-(south or north) "dish" shaped field (no problem), and
- >had all the outside of the sphere the same polarity. I wasn't
- >trying to make a monopole, just a neat thing with earth's geographical
- >features painted on it. Floating like that, tiny breezes ought to
- >trun it. Now here you come poking terrible holes in my neat little
- >floating globe idea! Gad. <grin> Tell me: what if I drilled tiny
- >holes all over it? Would that allow me to have, say 95% of the outer
- >surface all one polarity, with the other polarity's flux lines all
- >bunched together in the holes, like they do in a ring magnet?
-
- I think there are actually proofs to the effect that you can't stably
- levitate something this way with permanent magnets alone. You may have
- seen a gadget sold in science-toy stores which has a levitating
- spindle; one end of the spindle bumps up against a mirror, and that
- stabilizing mirror is what makes the whole thing possible. Without
- it the spindle couldn't be stable.
-
- The right way to do this would be to make the floating ball out of an
- ordinary permanent magnet, and levitate it above a slab of high-
- temperature superconductor in a pool of liquid nitrogen!
- --
- Matt McIrvin
-