On 01/01/2010 12:59 PM, William Beaty wrote:
> On Fri, 1 Jan 2010, Stephen A. Lawrence wrote:

>> An ideal toroidal coil has no external field -- symmetry and simple
>> arguments regarding the curl of the B field show that it's got to
>> be null outside the torus. In particular, any loop around the
>> outside of the torus must have zero
>> net B field (if we integrate it around the loop)
> 
> Yep, that's exactly it.
> 

After a little more thought I realized I have no idea what the Steorn
toroidal magnetic cores have for a B field.

Anybody got a link to a picture, or could someone who knows how the
field is shaped sketch it?

B field lines are always loops but the field loops from a permanent
magnet *must* intersect the material of the magnet (or be knotted around
the magnet like the loops around a solenoid), so the field of a toroidal
magnet can't be doughnut rings around the outside of the torus, as one
might tend to imagine it.  So, what *is* the shape of the field?  And
how can a toroidal coil wrapped around the core, which necessarily has a
very different field shape (lines not even close to parallel to the
field lines of the magnetic core), quench the field of the core?

My presumption is that the effect of the coil's field on the core is to
rotate its field so that it's parallel to the coil's field, at which
point the field of the magnet, like the field of the coil, becomes
invisible outside the torus.  But that's really just a wild guess, based
on bits and pieces of what Bill Beaty has said about toroidal core
saturation.

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