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Homework Help: Finding electric field vector given charge density, using Gauss's Law

  1. Jun 10, 2014 #1
    1. The problem statement, all variables and given/known data

    A long cylinder carries a volume charge density which is proportional to the distance from the axis, ρv=0.005r. Find the vector electric field inside the cylinder using Gauss’ Law in integral form.

    2. Relevant equations

    ∫E dot dA = Q/ε0
    vρv = Qenc

    3. The attempt at a solution

    I first attempted trying to solve for Qenc using ∫vρv = Qenc, however I run to the issue of not know the boundary conditions. If I knew the boundary conditions, I would then set Qenc/ε = EA and solve for E.
  2. jcsd
  3. Jun 10, 2014 #2


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    Homework Helper

    What do you mean with the 'v' in front of ρv?

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