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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?