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V of 2 parallel lines makes cylinders

  1. Sep 16, 2013 #1
    1. The problem statement, all variables and given/known data
    Expanded from Griffith's (3rd ed) #2.47

    Infinitely long wires parallel to x axis carrying ±λ charge densities intersect the y-axis at ±a.

    A) Calculate V(x,y,z) if V(0,0,0)=0
    B)Show that the equipotential surfaces are circular
    cylinders. Locate the axis and calculate the
    radius of the cylinder that is at potential V0.

    2. Relevant equations
    Gauss, -∫Edl
    E=-∇V
    ?x2+y2=r2?

    3. The attempt at a solution

    I've found the solution to part A easily enough but I'm not sure how to approach B. I know that at the origin the potential is zero along the x axis but I'm confused by how I should show that these are both circular cylinders.

    I'd post my solution for A but it's exactly the same as the solution manual so it's easy enough to find.

    Any help would be appreciated.
     
  2. jcsd
  3. Sep 16, 2013 #2
    Why not look at your solutions manual. . .
     
  4. Sep 16, 2013 #3
    The part b is not part of the original question. Thus, not in the manual.
     
  5. Sep 17, 2013 #4
    hmm, never mind I guess it was in the manual. Sorry thought that he just added it. thanks anyway.
     
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