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Re: Effects of the size of toroids
Hello Antonio,List,
I tryed to dereive it for toroid alone in space, some
time ago.Mathematicaly ,it can be easy shown that
critical *ie.max electrical field* for smooth toroid
is reached at outside ekvatorial 9 o'clock or 3
o'clock positions of cross section.
The question is what voltage corresponds to given
Ecritical.
I used approach with Green functions and always got
unpleasant series of nonelementar integrals.
The truth is that for tipical ,let say h/d=1/3 toroid
ratios coilers like to use,spherical estimations
Uc=r*Ec still holds well (as T.Fritz has shown me).
This means you can freely take aproximation with that
simple formula where r is radious of toroid cross
section (=d/2).
Regards,
Boris
About this, do someone know a formula for the
> maximum electric
> field at the surface of a toroid, given the voltage?
> (I asked this
> question some time ago, but didn't get any pointer
> that I could
> find). Not difficult to discover with an
> electrostatic simulator,
> but the geometry seems simple enough for a closed
> formula.
>
> Antonio Carlos M. de Queiroz
>
>
>
>
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