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Electric Flux on the surface of a sphere

  1. Apr 23, 2013 #1
    1. The problem statement, all variables and given/known data

    I'm trying to figure out an equation for finding the net flux that abandons the surface of a sphere which contains a line charge distribution an a charge density. The problem is:

    A line charge distribution of 0.6m long with a charge density equal to 5C/m, is contained inside a sphere with radius of 5m. Find the net flux that abandons the surface of the sphere.


    2. Relevant equations

    What I have done is the following
    ψ=DA
    D= εE
    ψ=εEA=ε(ρ/(2∏εr)(4∏r^2)
    ∴ψ =2 ρ r



    3. The attempt at a solution

    ψ= 2(5C/m)(5m) = 50C

    I really don't know if this is the correct approach. Any help would be great.
     
    Last edited by a moderator: Apr 24, 2013
  2. jcsd
  3. Apr 23, 2013 #2
    So I've decided to take a different approach
    ψ= ∫∫∫ ρ rdrd∅dθ
    not sure if i should use d∅ or dz. maybe the first one because it is spherical.
    what limits should I use?
     
  4. Apr 23, 2013 #3

    SammyS

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    Use Gauss's Law.

    Calculating the flux directly by means of a surface integral will be a mess.
     
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