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I Poissons equation basic question

  1. Sep 24, 2016 #1
    Poissons equation for the electrostatic potential is:

    2φ = -ρ/ε

    My question is simple: If φ=0 at a point (x,y,z) can we then conclude also that ρ is zero at that point?
  2. jcsd
  3. Sep 24, 2016 #2
    The value of the potential at a single point has no physical meaning - you can always arbitrarily shift it by a reference value.

    More concretely, ##\nabla^{2}\left(\varphi + \alpha\right) = \nabla^{2}\left(\varphi\right)## for any constant ##\alpha##.
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