Paul wrote:
Stephen A. Lawrence wrote:
> And we don't
> have any sufficiently whizzy bar magnets here to
> let me test it
> macroscopically.

There you go again with your cigarette dipoles. ;-)

OK, I finally got the point WRT the shape...

 >
 > Ummm hmmmm so it is, the field strength ratio at
 > the end versus the side
 > is something like 2:1, and, if the dipole is
 > allowed to align with the
 > field, the net force it feels is always in the
 > direction of increasing
 > field strength.

For a point charge it is.  Of course if for example
the dipole is 1 cm in diameter and you're testing the field right up against the wire millimeters away then it doesn't make sense you'll get 2:1 ratio.
 Did you try to field
dipole moment calculator? http://www.netdenizen.com/emagnet/offaxis/iloopcalculator.htm

Yes, I took a look at it, but I already knew the shape of the dipole field, at least for small dipoles. In geometrized cgs units it's
http://www.physicsinsights.org/dipole_field_1.html#eqn-16
which is pretty clear.

The primary point I missed was that my "mental model" of a tiny dipole wasn't spherically symmetric, so rotations also involved major changes in |r|.

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