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Electric field on grounded plane

  1. Dec 15, 2014 #1
    This question was on our final, but I do not completely understand what the professor was trying to say.

    1. The problem statement, all variables and given/known data

    "A charge Q is located at a distance d above an infinitely large grounded half-plane located in the x-y plane and at a distance d from another grounded half-plane in the x-z plane. Find the electric field at a point of coordinates x=y=0 and z=d."


    2. Relevant equations
    E=Q/4pi(epsilon)r^2
    Phi=Q/4pi(epsilon)r

    3. The attempt at a solution
    I first thought to use image charges, but he never stated that the plane was conducting, and a nonconducting grounded plane does not necessarily have constant potential. So instead I simply found the electric field as if the plane was not there

    E=-Q/4pi(epsilon)d^2 (y hat)

    If I had assumed it was a conductor, wouldn't E just equal zero since the point is within the plane?

    The rest of the problems on the final took a very long and involved process to solve so either alternative to this question seemed out of place.

    How should I have gone about this problem?
     
  2. jcsd
  3. Dec 15, 2014 #2

    TSny

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    Homework Helper
    Gold Member

    Hello and welcome to PF!

    Grounding an object only makes sense if the object is a conductor. I assume that the two half-planes meet along the x-axis such that they form the boundary of the region z>0 and y>0.

    I guess the question is asking for the electric field just outside the half-plane in the x-z plane. That is, find E at the point (ε, ε, d), where ε→0+.

    Method of images sounds good!
     
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