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Electrostats, Gauss Theorem qusetion: Struck in middle

  1. Jul 7, 2012 #1
    1. The question is to find the volume charge density. Given is non uniform, but spherically symmetric electric field, E=K.r4, K being a constant. Original question can be viewed in image:
    2vcvnmt.jpg

    * Question no. 53




    2. Relevant equations
    Answer is: ρ=6Kr3ε


    3. The attempt at a solution

    Tried solving so many times. Once, I got half the answer I should have got!
    Solution steps are attached.:
    dq251e.jpg
    I got struck at the last equation,:
    4Kεπr6=∫ ρ.dV
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 7, 2012 #2
    Use gauss law in differential rather than integral form. 1/r^2*d/dr(r^2*E)=rho/epsilon
     
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