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Charge density for V=x^2-y^2+Z^2

  1. Sep 3, 2009 #1
    Can anyone tell me if the potential distribution equations V= x2-Y2+Z2
    holds in free space, if not, please help me to find the charge density from the given potential .
     
  2. jcsd
  3. Sep 3, 2009 #2

    gabbagabbahey

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    Hint:What does Poisson's Equation tell you?
     
  4. Sep 4, 2009 #3
    Del2V=2 for the given V, so the given potential doesn't satisfy Laplace equation, So i think this potential is not possible in free space. But how to calculate charge density then?
     
  5. Sep 4, 2009 #4

    kuruman

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    Yes, Laplace's equation is not valid. However Poisson's equation is. As gabbagabbahey said, What does Poisson's equation tell you?
     
  6. Sep 4, 2009 #5
    According to Poisson equation Del2V=-charge density / epslion ,
    But in our problem Del2V=2 , So charge density = 2*epsilon , Is it the answer now ?
     
  7. Sep 4, 2009 #6

    kuruman

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    On the basis of what you have said, no. The equation, V= x2-y2+z2 is dimensionally incorrect. Therefore any answer derived from it cannot be correct.
     
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