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Effect of capacitor plates at different angle

  1. Dec 7, 2014 #1
    Hi,
    I am interested to simulate the capacitor with plates having an angle of 195 degrees between them.
    https://dl.dropboxusercontent.com/u/32847378/cp1.jpg [Broken]
    I know that if the angle between of plates is 180 deg, then electric lines of forces will follow a elliptical path and equipotential lines perpendicular to them as shown in image,
    https://dl.dropboxusercontent.com/u/32847378/coplanar1.jpg [Broken]
    and for mapping inverse cosine function is used. i.e. W = inv. Cos (Z)
    where W = x + i y , Z = u + i v
    So, for my case
    1. Will the electric lines of forces still follow the elliptical path?
    2. Can they also be mapped using inverse cosine function or will there be a variation?
    This will help me in finding the capacitance. Thanks in advance.
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Dec 7, 2014 #2

    mfb

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    Not exactly, but they won't be completely different because your setup still looks similar.
    It is not clear if there is an analytic solution at all.
     
  4. Dec 8, 2014 #3
    Hi,
    Thanx for the reply. so, do you have any idea to solve that type of problem?
     
  5. Dec 8, 2014 #4

    mfb

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    Numerical simulations?
     
  6. Dec 8, 2014 #5
    Yes analytical solution. For that i know the correct tranformation (mapping) function. It would be nice to go into a detail of that problem
     
  7. Dec 8, 2014 #6

    mfb

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    Huh?

    I don't know if there is an analytic solution. A numerical approach will certainly give a good approximation (as good as you like if you have enough computing power).
     
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