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In a certain region of space, the electric field E is uniform.

  1. Feb 7, 2009 #1
    1. The problem statement, all variables and given/known data

    In a certain region of space, the electric field E/vec is uniform.
    Why is the charge density in this region zero?
    Assume in a region of space where there is no charge, must E/vec be uniform?

    2. Relevant equations

    Gauss's Law

    3. The attempt at a solution

    I don't really know why a uniform electric field makes the charge density zero... The only thing that I know I could do would be to make this "area" so large (to infinity) that the resulting density would be zero. Can anyone explain to me why?
     
  2. jcsd
  3. Feb 7, 2009 #2

    LowlyPion

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    If there was a charge would the field be uniform?
     
  4. Feb 7, 2009 #3
    No because the charge would cause a distortion of the field?
     
  5. Feb 7, 2009 #4

    LowlyPion

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    That would be my thinking.

    What about a region with no charge? Must the field be uniform?
     
  6. Feb 7, 2009 #5
    Hmm, I would say no, because the charge can be right outside the area with no charge..?
     
  7. Feb 8, 2009 #6

    LowlyPion

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    Precisely.
     
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