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Homework Help: Charge enclosed in cylinder question

  1. Sep 12, 2011 #1
    1. The problem statement, all variables and given/known data
    The electric field inside a circular cylinder of radius r = a and height z = h is given by: E = Az[(-c/h)+(b/6(epislon zero)*(3z^2 - h^2)
    where c and b are constants. Assuming the medium within the cylinder is free-space, find the total charge enclosed within the cylinder.

    2. Relevant equations
    Qtot = int(int(D*ds)) = int(int(int(rho*dv)))
    D = epsilon*E

    3. The attempt at a solution
    Surface integral of each side (1-top, 2-side, 3- bottom)
    1 & 3 = 0
    2 = h*pi*r^3

    not sure what to do from here?

    ***I finally figured it out. Let me know if you need the answer.
    Last edited: Sep 12, 2011
  2. jcsd
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