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Perpendicular charged sheets

  1. Aug 1, 2008 #1
    sheet.JPG
    So, I've solved many problems involving paralell sheets of conductors (finite, semi-infinite, and infinite) and also finite sheets at a given angle to eachother. I can post the results to these if it may be useful, but I'm more interested in sheets that are perpendicular.

    Consider a semi-infinite sheet at
    [tex]
    a\leq x < \infty , y = 0
    [/tex]
    and a perpenciular sheet
    [tex]
    -\infty < y < \infty , x = 0
    [/tex]

    I'm struggling to find a conformal transformation that will map this problem onto some region (like two infinite paralell lines), from which I can more easily calculate the electrostatic potential and charge density on both sheets.

    Any ideas?
     

    Attached Files:

  2. jcsd
  3. Aug 2, 2008 #2
    You ought to use an image charge, also known as the method of images.
     
  4. Aug 3, 2008 #3
    How? That works with the symmetry of parallell plates, but there is no such symmetry here.
     
  5. Aug 4, 2008 #4
    Can I consider the line of charge as a sum over an infinite number of point charges?
     
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