Science > Physics > 3D analytical solution to the electrical potential
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Science > Physics |
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"" |
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11 Feb 2005 10:19:11 AM |
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3D analytical solution to the electrical potential |
Hello everyone,
I'm searching without succes the 3D analytical solution of the
electrical potential generated by a rectangular plate at uniform
potential. Its a pure diffusion problem, of the kind Laplacian(phi)=0
where phi is the scalar electrical potential.
If anyone knows where to find the answer...
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| User: "Zigoteau" |
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| Title: Re: 3D analytical solution to the electrical potential |
13 Feb 2005 01:07:24 PM |
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Hi, Nom de Nom,
I'm searching without succes the 3D analytical solution of the
electrical potential generated by a rectangular plate at uniform
potential. Its a pure diffusion problem, of the kind Laplacian(phi)=0
where phi is the scalar electrical potential.
If anyone knows where to find the answer...
I don't think you will find an analytical solution. AFAIK the best you
can do is a numerical solution.
Cheers,
Zigoteau.
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| User: "nomdenom" |
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| Title: Re: 3D analytical solution to the electrical potential |
15 Feb 2005 04:10:57 AM |
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"Zigoteau" <zigoteau@yahoo.com> wrote in message news:<1108321644.607752.34650@g14g2000cwa.googlegroups.com>...
Hi, Nom de Nom,
I'm searching without succes the 3D analytical solution of the
electrical potential generated by a rectangular plate at uniform
potential. Its a pure diffusion problem, of the kind Laplacian(phi)=0
where phi is the scalar electrical potential.
If anyone knows where to find the answer...
I don't think you will find an analytical solution. AFAIK the best you
can do is a numerical solution.
Cheers,
Zigoteau.
Hi Zigoteau,
It would surprise me if I can't find an analytical solution for this
kind of problem, because I know the analytical solution for a quite
similar problem, but a bit more complicated: the magnetic field
generated by a rectangular plate with uniform (magnetic) pole density.
It's also a diffusion problem, defined by Laplacian(B)=0, where B is
the *vectorial* magnetic field. I would expect some similar solution
for a *scalar* field!
I've found the solution for the electric potential generated by a
rectangular plate with a *uniform charge density* (rho), but it's not
the same problem - I want *uniform potential* (phi).
I know there are several numerical methods to solve the problem, but
I'm interested on an exact solution, because it's simpler to implement
inside my code.
Thanks anyway for your answer.
Cheers,
Nomdenom
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