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operator jay
science forum Guru Wannabe

Joined: 29 Apr 2005
Posts: 142

Posted: Thu Jun 09, 2005 5:13 pm    Post subject: Re: inductance vs skin effect

"Francois Grieu" <fgrieu@francenet.fr> wrote in message
 Quote: In article , "operator jay" wrote: y = e^(-x) , 0<=x<=1 e^(x-2) , 1<=x<=2 This would show a symmetrical current density profile in a finitely thick conductor of rectangular section but there is a sharp discontinuity (change of sign) of the derivative at x=1, when there is physically nothing special at that point. That's why I suggest e^(-x) + e^(x-2), 0<=x<=2 then I renormalize by integrating, just the way you do. This gives nearly the same result for a conductor that is either much thicker or much thinner than the skin depth, but a very different result around the skin depth. François Grieu

Adding the extra term bothers me. What do you do for a (square) four sided
section? Use four terms? Eight sided? Use eight terms? Circular?

I agree that discontinuity you spotted does seem out of place, but, there it
is in a round conductor too, I think, and the approximation (if that's what
it is) is still used.

Of course, this is just food for thought. Once again I really can't say
anything of certainty. Maybe you'd have to do the calcs all the way through
with differential equations to get the actual distribution.

j

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