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Charge on face of tetrahedron

  1. Apr 5, 2014 #1
    1. The problem statement, all variables and given/known data
    Suppose a point charge is placed on the face of a regular tetrahedron. What is the flux through another one of the faces?


    2. Relevant equations



    3. 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?
     
  2. jcsd
  3. Apr 5, 2014 #2

    TSny

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    Gold Member

    That sounds right to me as long as the point charge is placed at the center of one of the faces.
     
  4. Apr 7, 2014 #3
    Definitely yes.
     
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