Group: sci.physics.research
From: "Sue..."
Date: Friday, February 15, 2008 2:47 PM
Subject: Re: Relativistic EM question

On Jan 30, 1:34=A0pm, "Rich L." wrote:
> I've been trying to better understand the relativistic origin of
> magnetism. =A0I tried to do a slight variation on a common derivation
> and got an unexpected result. =A0I'm hoping someone here can point to an
> error I made.

The only thing "relativistic" about magnetism is the need to
consider the finite speed of light where it may affect the
way charge fields are superposed. Electromagnets work just
fine with all significant charges moving at a snail's pace.

I think this is what you are trying, and further caution that
it is not widely accecpted.
/schroeder/mrr/

Electromagnetism operates with volumes of space,
that don't simplfy to a 2D model easily. I think
I see several places you've squashed the volume
to zero where you intended to use mirror symmetry
to simplify the calculations.

If you work through a time independent derivation:
/wiki/Multiple_integral#Some_practical_applications
/teaching/em/lectures/

=2E..then apply the time dependent extensions for motion:
/teaching/em/lectures/

=2E..I think you will develop so apprectiation why the
Purcell derivation is not widely accepted.

You may find some work relevant to what you are
attempting in these subjects:
/wiki/Smith-Purcell_effect
/wiki/Maxwell%27s_equations#=
s_equations_in_special_relativity

Sue...

[...]
>
> Any assistance is appreciated,
>
> Rich L.