Flux Through Face of Tetrahedron

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SUMMARY

The discussion centers on calculating the electric flux through the faces of a regular tetrahedron when a point charge is placed on one of its faces. It is established that if the charge is at the center of the tetrahedron, the flux through any face is given by the formula q/(4*ε). However, when the charge is positioned on one face, the flux through each of the other three faces is q/(6*ε), as half of the total flux does not pass through the tetrahedron. This conclusion is confirmed as valid under the specified conditions.

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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.
 
Definitely yes.
 

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