# Electric potential of a point

1. Jun 20, 2011

### 012983

1. The problem statement, all variables and given/known data

Let there be an infinite plate of positive charge density σ. Let there also be an uncharged conducting slab of a thickness h, placed above and parallel to the plate.

Without copying the question directly, I would like to know how one would calculate the electric potential for an arbitrary point C above the slab, at a distance c from the plate.

2. Relevant equations

V = kq/r, or 1/(4piε0)*(q/r)
V(for a charge distribution) = 1/(4piε0)*integral(dq/r)

If relevant, electric field between two conducting plates with surface charge densities +/- σ is E = σ/ε0.

3. The attempt at a solution

Apologies if anything below is incorrect.

Given the positive charge density of the plate, the side of the slab closest to the plate will have a positive surface charge density and the side farthest from the plate will have a negative surface charge density. I am at a loss as to how the slab affects the potential at point C.

In addition, I am not quite sure what the thickness of the slab has to do with this problem.