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So, I've solved many problems involving paralell sheets of conductors (finite, semiinfinite, 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 semiinfinite 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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