Stephen A. Lawrence wrote:
> The E and B fields together form a rank 2 tensor (the "Faraday" 
> tensor).  The application of that tensor to a charged particle's 
> 4-velocity yields the 4-force on that particle due to the EM field.  
> Changing FoR changes the components of the Faraday tensor but doesn't 
> change the effect it has on a particular object.

This seems like a correct way of looking at the problem.
Aren't you agreeing with my original point that the
statement "magnetic fields never do work" is really not
helpful in understanding electromagnetic forces.

In commercial finite element analysis software 
forces are commonly calculated by using changes 
in magnetic field energy with position without any
reference to electric fields. Do we need to change the
way engineers think about these useful techniques.

So where does the energy come from? Do you agree with
my statement that it comes from both the ring and the dipole
or do you say it all comes from the ring. 

 George Holz
Varitronics Systems



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