Flux Through Face of Tetrahedron

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Homework Statement


Suppose a point charge is placed on the face of a regular tetrahedron. What is the flux through another one of the faces?


Homework Equations





The Attempt at a Solution


I know that if the charge is placed at the center of the tetrahedron, the flux through any face would simply be q/(4*ε) since each face gets an equal share of the total flux.

But since the charge is placed on one of the faces, I would think that each other face sees q/(6*ε) of flux? Since "half the total flux" simply doesn't go through the tetrahedron at all, and the half that does is shared equally with a third going to each remaining face?

Is this valid?
 
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That sounds right to me as long as the point charge is placed at the center of one of the faces.