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Electrostatic potential of a cube with charge density

  1. Jun 14, 2017 #1
    1. The problem statement, all variables and given/known data

    Consider a uniformly charged cube with uniform charge density ρ.The ratio of electrostatic potential at the centre of the cube to that of one of the corners of the cube is?
    A hint on how to approach the problem's solution would be appreciated.(whether to use gauss law or not etc.)

    2. Relevant equations
    Phi=E.A and
    ΔV=Workdone/charge=-E.D

    3. The attempt at a solution
    I tried to use Gauss law and symmetry argument to find electric field inside the cube,but failed.Help would be appreciated.
     
  2. jcsd
  3. Jun 14, 2017 #2

    haruspex

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    Consider it made of eight half-sized cubes.
     
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