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Homework Statement:

Consider the situation of a point charge q a distance d above an infite
plane that is maintained at a potential \V_0. Solve the Poisson's equation for all points
above the plane. Also compute the surface charge density and the total charge on the
plane.
Relevant Equations:
 Poisson equation
I know the separation of variables is gonna be used but I am confused because we usually solve a Laplace equation for this