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E field with two spheres

  1. Sep 15, 2009 #1
    1. The problem statement, all variables and given/known data
    Two spheres, each radius R and carrying uniform charge densities +rho and -rho are placed so that they partially overlap. Call the vector from the positive center to the negative center dhat. Show that the field in the region of overlap is constant and find its value.

    2. Relevant equations
    Gauss' law.

    3. The attempt at a solution
    So I did Gauss' law for one sphere to find e-field. What I got was


    So the e-field from the positive sphere is E=(rho*r)/(3*episolon)
    e-field from negative is the opposite of course.

    principle of super position, don't they add up to zero?
    Last edited: Sep 15, 2009
  2. jcsd
  3. Sep 15, 2009 #2

    Doc Al

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    Staff: Mentor

    What direction does the field from each sphere point? In the area of overlap, do the fields point in opposite directions?
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