re: Re: Etesla6 math questions

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: "Terry Fritz" <teslalist-at-qwest-dot-net>

Hi Peter,

A goggle search for "e-field calculation equipotential" brings up many fine 
sources like:

http://www.electrostatics3d-dot-com/Main/Home.htm

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

http://www.fieldp-dot-com/book.html

http://www.electrostatic-dot-com/Humphries.htm

but these are all too "high brow"....  the "real" method is trivial...  I 
don't seem to find a "straight forward" on-line explanation for how one 
finds the E-fields in a 2D space with boundary conditions....

I am hoping one of our more learned people out there has that perfect 
explanation?  All it does, is the computer averages the four points around 
a given point many many times...  Seems so simple but I can't explain it 
with words...  Let me think on the explanation and hope someone else has 
the answer in the mean time ;-))

I hate to be the blind one leading the blind here 8-))

Cheers,

         Terry


At 06:44 PM 1/31/2003 -0800, you wrote:
>Terry,
>       here is the part I did not understand the first time around and still
>don't understand:
>
>
> > The charge density certainly is non-uniform.  But that is controlled by 
> the
> > shape and E-Tesla does the "E-field relaxation thing" to find the E-field
> > (voltages) around the coil.
> >
> > When we do the relaxation matrix, the charge density on the parts works
> > out!!  Sharp edges get high fields do to high densities.  Smooth edges get
> > low fields do to low densities.  The "relaxation" does this field density
> > adjustment for us.
>
>
>where can I read about the "relaxation thing", this seems to be the crux of
>the matter. It seems to be a well known numerical analysis of fields
>technique, but I've never taken more that an introductory numerical analysis
>class and have not heard of this, and it might be a bit more involved than
>you could describe in email...
>
>
>thanks,
>Pete Lawrence.