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Carl,
Here's something to think about, at least (not elegant, not a solution, but
perhaps a guide).
Assume a magnetostatic situation (by which I mean constant current and no
changing electric fields). Further assume that the current density is in
the positive z direction. The current-carrying wire may be cylindrical and
have arbitrary diameter.[ ] I'm on spring break and my books are at school.
Maybe a list member can check this.
--MB