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Electric field in two materials

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Hi

Does anybody know how to find out the potential energy of two equally heavy, equally big and equally charged particles that are placed at the boundary layer of two different media(for example such that mercury is at the bottom and oil is on the top of both spheres( if you know the answer but both substances make you uncomfortable then you should still post your answer) ?

Or is there any way to make a good approximation how the electric field potential energy might look like in this case by referring to the potential energy of both particles being completely in mercury and oil?
Actually tough, I am also interested in good approximations of how to deal with electromagnetic fields in different media.

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