Stephen A. Lawrence wrote:
[snip]
 >  > They attract until they are perfectly aligned NS
NS.
 >
 > When they're aligned
 >
 >   N
 >   |
 >   |
 >   |
 >   |
 >   S
 >   N
 >   |
 >   |
 >   |
 >   |
 >   S
 >
 > they can flip (rotate) so that they're aligned
 >
 >   NS
 >   ||
 >   ||
 >   ||
 >   ||
 >   SN


Sure if you ***add*** energy Stephen.  That takes
energy. I have written far too many 
simulations to know.  I have seen physical grids of
permanent magnets on swivels and you 
are completely wrong on this.  Magnet dipole moments
prefer NS....NS.

At curie point the magnetic dipoles moments are in
chaos, mostly pointing in random 
directions.  As the material cools down they begin to
align in NS....NS to form a complete 
closed magnetic loop such as four domain wall. It is
well known that the net magnetic 
field in such domains is intense with or without any
applied magnetic field.  At curie 
temperature the net magnetic field is considerably
lower (higher magnetic entropy), which 
is why the material heats up when an applied magnetic
field is added, hence MCE 
(Magnetocaloric Effect).  BTW, your drawings of
dipoles are way out of proportion.  You 
are drawing cigarettes.  An electron is not in the
shape of a cigarette, lol.

There is more magnetic attraction from max alignment
-->

NS....NS

as compared to half alignment -->

NS
.
.
.
.
SN


You first need to understand the field is twice the
magnetic density in front as compared 
to sides of magnetic dipole moment.




 >   NS
 >   ||
 >   ||
 >   ||
 >   ||
 >   SN
 >
 > and, in fact, if you jiggled them a little and then
let them have
 > their way, that's exactly what they'd tend to do.

No chance Stephen. It simply doesn't happen in real
life or in simulations.  Please study 
the javascript code at -->
http://www.netdenizen.com/emagnet/offaxis/iloopcalculator.htm

Plug that equation in a simulation program and let her
rip.  You'll see it's in total 
agreement with real physical experiments.




 > It's a lower
 > energy configuration than the end-to-end
configuration, which is most
 > apparent when you model them as magnetic monopoles
stuck to the ends
 > of rods.
 >
 > In any case, if they're aligned NSNS they'll
attract, and if they're
 > side by side aligned N/S S/N they'll attract, also

The difference being one has higher magnetic entropy. 
This is really not a difficult 
problem and should not require computer simulation. 
Just think a little deeper enough. :-)



 > , and in both cases
 > the torque will be zero because the torque is
proportional to the
 > mis-alignment of the dipole vector and the field
vector.  And, of
 > course, the field vector points straight out the
end (parallel to the
 > dipole), but for positions "next to" the magnet it
points opposite to
 > the direction of the dipole.
 >
 >
 >  >  >, and in that case the fields cancel as they
 >  > approach.
 >  >
 >  > That's not true.  When aligned they are NS NS. 
That
 >  > is full magnetic alignment and they
 >  > do *not* cancel.  The net field increases.
 >
 > It increases versus a single magnet, that's true. 
But compared with
 > two distant magnets?  I'm not so sure; we need to
ask:

No, the net magnetic field increases from two nearby
fully aligned magnets as compared to 
if they were far apart.



 > Does the field increase or decrease as they're
drawn apart along a
 > line?

More of the fields overlap as they approach each other
in fully alignment.




 > [ snip ]
 >
 >  > Two aligned electromagnets do not repel.  They
 >  > *attract*.
 >
 > Arrgh.  We're both right.  If they're end-to-end
they attract when
 > they're aligned.  If they're side by side they
attract when they're
 > misaligned.

Correct, but what you seem to miss is the front
magnetic density is twice as compared to 
the sides, which is why the PM's have less entropy in
full alignment as compared to half 
alignment.



 >  > That's backwards. :)  As they attract and move
closer
 >  > there's back EMF, which consumes
 >  > energy from the battery.
 >
 > Yes, no matter the alignment, we "pay" for the work
done as they pull
 > themselves together, by pumping in electrical
energy.


Yes, but again that is not the point.  We are trying
to figure out where the energy comes 
from such a gain in both kinetic and magnetic energy. 
When you pull the magnets apart you 
are adding energy, but to what?  This is still a
mystery, one day to be solved when 
humanity learns exactly what sustains the electrons
existence. Who know, may the energy 
comes from God.  :-)


Regards,
Paul Lowrance


 
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