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Thank you for the reply -- I will need to read this all more slowly.
But for now, I hope this is an easy question. What happens to an
isolated point charge in a region in space with a uniformly
increasing uniform mag field? Does it experience a force?
If so, in what direction?
Does it matter where I release it?
Off-list I was pointed to the following URL:
http://home.minneapolis.edu/~carlsoro/note.htm
Looking at the 2nd panel (Note 2), I venture to say that circled step
2 does not actually give E
because I think E isn't constant along a
circle inside a square B-field region.
ps: The question of how to produce a uniform B inside a square region
(and zero outside) is a different issue, and also not particularly
obvious to me. Just winding a solenoid around a square form
presumably won't do the trick. (Because we then have a similar
problem to the lack of circular symmetry for Faraday's law - except
now for Ampere's law.) I could use a C-shaped magnet with square
cross-section and a tiny gap and ignore (probably to my peril) the
fringing field.