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Computation of resistance with arbitrary local resistivity rho(x,y,z)

  1. Nov 16, 2011 #1

    I need to numerically compute the net electrical resistance of a given geometry.

    I know the shape of my object, it is relatively simple. It's close to this: http://2.imimg.com/data2/QX/UC/IMFCP-3019296/i-shape-big-1-250x250.jpg
    Actually my shape is even simpler because it's a parallelepiped flanked by two trapezoids.

    As data, I have many points coordinates x,y,z and the corresponding resistivity which is unusually dependant of the position.

    my data table looks like that:

    x1 y1 z1 rho1
    x2 y2 z2 rho2
    x3 y3 z3 rho3
    x4 y4 z4 rho4
    xn yn zn rhon

    n is my number of point in my geometry.

    Naturally, since the electrical current will preferentially go to the low resistivity domain. I cannot use the R=rho*l/S formula.

    I probably have to solve J=sigma*E for every point with sigma(x,y,z)=1/rho(x,y,z)

    Does someone have any idea of algorithm that can compute the resistance?

    Thank you very much

  2. jcsd
  3. Nov 17, 2011 #2
    I forgot to mention that my resistivity was a tensor and not a mere scalar.
  4. Nov 19, 2011 #3
    Any leads maybe????
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