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Perpendicular charged sheets

  • Thread starter Morto
  • Start date
  • #1
12
0
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?
 

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Answers and Replies

  • #2
1,860
0
You ought to use an image charge, also known as the method of images.
 
  • #3
12
0
How? That works with the symmetry of parallell plates, but there is no such symmetry here.
 
  • #4
12
0
Can I consider the line of charge as a sum over an infinite number of point charges?
 

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