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 boundary 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 [tex]\epsilon[/tex] -> [tex]\infty[/tex], you should recover the result for a charge next to an infinite conducting half-space. I'm pretty lost with this question. Any hints starting the problem would be very helpful. Thank you.