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Zero potential?

  1. Sep 27, 2007 #1
    if the E-field is zero in a region of space, why i the potential always a constant?

    For example:

    [tex]V=-\int E dl [/tex]

    if E = 0, then wouldnt the potential automatically be zero?
  2. jcsd
  3. Sep 27, 2007 #2
    From Maxwell equations for stationary fields: [tex]\nabla \times E = 0 [/tex]
    it follows that E is gradient of some field. So we write [tex]E = -\nabla \phi [/tex].
    You see that if you change phi for a constant results the same field E.
    All it counts are the differences in phi. So potential can also be zero.
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