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Gauss's Law with a sphere on and charge on z-axis

  1. Sep 17, 2014 #1
    I have a question for E&M and I feel like I am over complicating it. As the title says, the is a positive charge on the x-axis and I must prove that flux = q/εo.

    Since the charge is on the z-axis, could I just add in a term (z-z') to account for the charge not being at the origin into calculating ∫E dA?
     
  2. jcsd
  3. Sep 17, 2014 #2

    Simon Bridge

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    Welcome to PF;
    If you already know an equation is f(x,y,z), then shifting the source a distance z' in the +z direction turns that into f(x,y,z-z') yes.
     
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