# Electric field derivation question

1. May 7, 2007

### afromanbob

Hey, if someone can show me the solution to this I'd be very thankful. Here's the question:

An infinitely long sheet of charge has width L and surface charge density n. The sheet lies in the xy-plane between x=-L/2 and x=+L/2

a) Derive an expression for the electric field E along the x-axis for a point outside the sheet a distance d away from the edge of the sheet (the distance from the origin to the point is x=d+L/2)
Hint: How does n relate to the linear charge density, lambda, of a narrow strip of the sheet?

b) Derive an expression for the electric field E at a point on the z-axis a distance z=a above the center of the plane.

Thanks.

By the way, I basically have no starting work of mine to show, I'm really quite stumped by this problem. It was actually a question on our test that almost everyone in the class missed, so the professor is allowing us to turn in a solution for a few more points added to our test score. I don't even really understand if the shape described is basically a line... or what...

Last edited: May 7, 2007