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From: "Christopher R. Carlen"
Subject: Re: Deriving H for magnetic cores
Date: Wed, 18 Dec 2002 09:41:26 -0800
Organization: Sandia National Laboratories, Albuquerque, NM USA
References: <3DFF8FA6.4593A00A@mmm.com.DELETETHIS> <3DFFE9DB.1BEFBBE3@earthlink.net> <3E008AB8.141E41D5@mmm.com.DELETETHIS>
NNTP-Posting-Date: Wed, 18 Dec 2002 16:40:15 +0000 (UTC)
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Roy McCammon wrote:
[nicely worded discourse snipped]
> 1. A contour such that H (a vector) = constant.
> Well that doesn't work even in the special case.
> 2. A contour such that | H | = constant. You probably
> mean it in this sense. That seems plausible, (requiring
> only continuity?), but that sense doesn't pertain to the
> discussion because in the special case we needed the
> fact that H . dL = constant on the contour of interest.
> 3. A contour such that H . dL = constant
> OK, #3 is what I mean. I should have expressed the
> idea more clearly. That type of contour exists in
> the special case, but it is not obvious to me that it
> exists in all cases. The special case is easy to
> work because H . dL = constant. And that is why
> I consider the special case to be not representative.
> In fact, I consider it pathological.
Wouldn't it be actually true that the "contour of constant H" in which
we are interested is the one in which H=|H_vec| is constant (your #2),
since then you could take H (scalar magnitude) out of the integral,
which is the necessary mathematical step to make use of Ampere's Law.
Then you would *just* have to be able to express the unit vector of H in
terms of r, phi, and perhaps z. Not that this would be possible of course.
Aren't integrals like this parametrized so that you would integrate a
parametric vector function that would follow the contour over which H is
constant and in which the unit directional component is expressed in
terms of the parameter?
Christopher R. Carlen
Principal Laser/Optical Technologist
Sandia National Laboratories CA USA
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