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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.