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Electrostatic force between to spheres

  1. Jun 15, 2011 #1
    given to solid half charged sphere Insulators.

    In which state the mutual net force is bigger: A/B/the same

    KNSdL.jpg
     
  2. jcsd
  3. Jun 15, 2011 #2

    Delphi51

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    No idea how to attempt it?
    The force depends on two things. Look at the Coulomb force law formula to see what they are. You will find that one of them is the same for both arrangements, but the other is different. With some thought you can approximate that quantity for each situation and then the formula will tell you which results in the larger force.
     
  4. Jun 15, 2011 #3
    if it was 2d then it an obv that B (because distance is shorter)
    but i can't get a grasp of it 3d and could't compute either.

    i tried to think what is the shape of the field of half sphere but
    couldn't do it either.

    the weird thing is that, the book argue that the net force is the same
    and i think it is not
     
  5. Jun 15, 2011 #4

    Delphi51

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    Going from A to B, you have flipped the large half-sphere so its center of charge is closer to the center of the smaller half-sphere. That will increase the force. Yes, it is difficult to figure out exactly where the center of charge is, but certainly it is in the interior of the hemisphere. That alone is sufficient to prove smaller distance for B, isn't it?
     
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