# Homework Help: Perpendicular charged sheets

1. Aug 1, 2008

### Morto

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
$$a\leq x < \infty , y = 0$$
and a perpenciular sheet
$$-\infty < y < \infty , x = 0$$

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?

File size:
205.8 KB
Views:
115
2. Aug 2, 2008

### Mindscrape

You ought to use an image charge, also known as the method of images.

3. Aug 3, 2008

### Morto

How? That works with the symmetry of parallell plates, but there is no such symmetry here.

4. Aug 4, 2008

### Morto

Can I consider the line of charge as a sum over an infinite number of point charges?