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ehrenfest

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**[SOLVED] Griffiths Problem 3.4**

## Homework Statement

Prove that the field is uniquelly determined when the charge density rho is given and either V or the normal derivative [itex]\frac{\partial{V}}{\partial{n}}[/itex] is specified on each boundary surface. Do not assume the boundaries are conductors, or that V is constant over any given surface.

## Homework Equations

## The Attempt at a Solution

If you know V on the surface, this is the Corollary to the First Uniqueness Theorem. I don't see how knowing the normal derivative, [itex]\frac{\partial{V}}{\partial{n}}= \nabla{V}\cdot \hat{n}[/itex], helps at all.