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Electrostatics and symmetry

  1. May 15, 2017 #1
    1. The problem statement, all variables and given/known data

    "Find the direction and the variables which the electrostatic field depends on at all points of the plane (xOy) uniformly charged with the density of positive charges ϱ"

    3. The attempt at a solution

    So first of all, I have to study the Invariances of symmetry. I tried to switch to the cylindrical coordinate system (Ur, Uθ, Uz) and I observe that there is an Rotational symmetry following Uθ and a Translational symmetry following Uz, which made me conclude that the electrostatic field only depends on r.

    2. Relevant equations


    However, my teacher found that there is a Rotational symmetry following Uθ and a Translational symmetry following Ur, which means that the field only depends on z.
    Shouldn't it be the opposite ?? How did he find so ??

    Thank you
     
  2. jcsd
  3. May 15, 2017 #2

    DrClaude

    User Avatar

    Staff: Mentor

    All the charges are in the xOy plane. How does that lead to a translation symmetry in z?
     
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