Prove that the electric field is uniquely determined when the charge density p is givenand either V or the normal derivative ôV/ôn is specified on each boundary surface. Donot assume that the boundaries are conductors, or that V is constant over any givensurface.Hint: proceed as in the proof of the second uniqueness theorem, up to a certain point.But on each surface either V3 = 0 (if V is specified on the surface) or E31 = 0 (if aV/ən =-E_is specified).

Consider two potentials V1 and V2 that satisfy the Poisson equation and have the same normal…

Answered: Prove that the electric field is…

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