On Mar 8, 2008, at 1:08 PM, Robin van Spaandonk wrote:
In reply to Robin van Spaandonk's message of Sun, 09 Mar 2008
08:52:54 +1100:
Hi,
BTW, both tori would only have a single layer.
[snip]
This is along the lines of what I am trying to get at, though I
was thinking
more of interactions between the individual minor axis loops of
one torus with
individual minor axis loops of the other (however I could easily
be wrong about
that).
It was to me quite surprising the degree to which flux is fully
contained by a current envelope, despite gross distortion of the
toroid type current envelope that bounds the flux. For example see:
http://www.mtaonline.net/~hheffner/OddTransNotes.pdf
The fringe coupling was nominal in the Odd Transformer, despite large
folds in the current envelope, and despite large peripheral winding
separations. It is a critical point, and one I tried to emphasize in
my prior posts, that forces on and from a major radius hoop current
loop are not only created due to a major radius current from the
opposed torus, but also are due to the hoop field interaction with
the minor radius coils of the opposed torus (if you look at this from
a Biot-Savart perspective) or at least the field generated by those
coils and which is almost fully enclosed by those coils. In other
words, if an independent hoop coil (coil 1) is threaded through a
toroidal coil (coil 2), such that the currents through each of those
coils are independently controllable, the forces generated with an
independent hoop coil (coil 3) will be a function of both the
currents in coil 1 and coil 2. In other words, the field of coil 2
does not have to extend beyond its envelope to interact with other
coils outside that envelope, provided the fields of the other coils
can overlap that of coil 2. It is merely mutually coupled fields,
volume sharing fields, that provide an energy interdependence and
thus forces. Since you are talking about single layer tori, they
both have major axis hoop currents, and thus the confined fields of
both tori are shared with, overlap, the hoop fields of the opposed
tori, and thus there is a much stronger interaction than one would
obtain from the major hoop currents alone. I hope this is making
sense and is not just a lot of word salad. I have very little time
available today to work on my wording.
Horace Heffner
http://www.mtaonline.net/~hheffner/
