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Electric Field and Potential due to Induced Charges

  1. Dec 23, 2015 #1
    1. The problem statement, all variables and given/known data
    If there is an uncharged metal spherical body and a charge q outside it .Find Electric field due to induced charges.

    2. Relevant equations
    ##E##=##\frac{Kq}{r^2}##

    3. The attempt at a solution
    If there is an uncharged metal spherical body and a charge q outside it then there will be induced charges on it's surface like this
    UNCHARGED.png
    Electric field inside the body should be zero.Electric field due to +q would be ##E##=##\frac{Kq}{r^2}## there fore Electric field due to induced charges should be equal in magnitude to that of ##E##=##\frac{Kq}{r^2}## and opposite in direction.But my question is this electric field due to induced charges is due to +q induced or -q induced?
     
  2. jcsd
  3. Dec 23, 2015 #2

    SammyS

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    What does the question ask you to do? "Find Electric field due to induced charges." That must include all of the charges mentioned with the exception of the given charge, +q.
     
  4. Dec 23, 2015 #3
    And what if we are asked to find electric field due to +q induced?
     
  5. Dec 23, 2015 #4

    SammyS

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    The induced charge is distributed over the surface with varying density. It would be a very involved process to find the electric field due to +qinduced by itself or the electric field due to -qinduced by itself.
     
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