How to Derive the Electric Field Above an Infinitely Long Charged Sheet?

[kirakyoumou]

An infinitely long sheet of charge of width L lies in the xy-plane between x = - L/2 and x = L/2. The surface charge density is n. Derive an expression for the electric field E at height z above the centerline of the sheet. (Assume that z \ge 0.)

Express your answer in terms of the variables n, L, z, unit vector k, and appropriate constants.

 

[gabbagabbahey]

What have you tried?

 

[kirakyoumou]

I don't even know where to start. My book only gives explanations for FINITE planes. :( I know that I'll have to use an improper integral but...idk anything else.

 

[gabbagabbahey]

What is the expression used to calculate E for a finite surface?