Find the Electric Field everywhere in space for an infinitely long slab in the x-y plane with thickness (t) and uniform volume charge density (rho).
Find the electric field if the sheet becomes a conductor.
The Attempt at a Solution
I know the E field above and below the sheet only corresponds to z but stays constant along z. I also believe that E = (rho)(t)/[2(epsilon)] for both above and below the sheet. However I am confused as to what to do for inside the slab. I believe it involves an integral from -t/2 to t/2 but i am not quite sure what I would be integrating. Any help would be appreciated.
For the second part I know the E field inside the slab would be zero. So using Gauss's law I got that E = (rho)(t)/(epsilon) for above and below the slab. Any feedback would be a great help. Thanks.