1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Zero electric potential related to electric field.

  1. Aug 9, 2014 #1
    1. The problem statement, all variables and given/known data
    Which one of the following statements concerning electrostatic situations is false?
    a) No work is required to move a charge along an equipotential surface.
    b) If the electric potential with a region of space is zero volts, the electric field within that region must also be zero V m-1.
    c) If a charge is moved along an equipotential surface, there is no component of the force acting along the charge’s path.
    d) The electric field is always perpendicular to equipotential surfaces.
    e) The electric field is zero V m-1 everywhere inside a conductor.


    2. Relevant equations
    3. The attempt at a solution

    The answer given to this problem is C.

    My problem with this question is part B, I also think that this is also false. My understanding is that you can have a zero electric potential and still have an electric field. For instance if I had a charge of +q and -q separated by some distance R, then at R/2 there will be zero potential but obviously there is an electric field. The analogy I think of for potential is the rate of change of potential energy over distance, like velocity can be zero but acceleration is not.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 9, 2014 #2

    NascentOxygen

    User Avatar

    Staff: Mentor

    Is that meant to be "within" or what?
     
  4. Aug 9, 2014 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    The electric field is given by the gradient of the potential. The potential can be 0 at a given point and have an electric field, just as a non-constant function can have gradient 0 at a point, but this problem has the potential 0 in a "region".
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted