A point charge q is a distance d from a dielectric half-space (z < 0). We will
solve for the potential outside of the dielectric, in the region z > 0.
(a) Away from the point charge, what equation does V satisfy? Find the bound-
ary conditions at the dielectric surface.
(b) Find an image charge in the dielectric slab that allows you to satisfy the
boundary conditions. What is the potential V outside the dielectric?
(Hint: as epsilon-naught approaches infinity, you should recover the result for a charge next to an infinite
[tex]\sigma[/tex]= P dot n = Pz= epsilon-naught*Chi*E
F = 1/(4*pi*ep-naught)*q*qb/(2d)^2=-1/4*pi*ep-naught*(Chi/(Chi+2))*q^2/(4*d^2))
The Attempt at a Solution
I know how to get the potential in the dielectric (Z<0) but I cannot get the potential above Z.
Any help would be greatly appreciated.