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The Magnitude of the Force That One Line Charge Exerts On The Other

  1. Feb 23, 2006 #1

    I've been reviewing some general physics and came across a

    problem which has stumped me. If there is anyone out ther who can

    point me in the right direction, that would be greatly appreciated. The

    problem is the following:

    Two thin rods of length L lie along the x-axis, one between x = a/2 and
    x=a/2 + L, and the other between x = -a/2 and x = -a/2 - L. Each rod has a positive charge Q distributed uniformly along the length. Show that the magnitude of the force that one rod exerts on the other is

    F = (Q^2/4*pi*epsilon(0)*L^2)*ln[(a + L)^2/a(a + 2L)]
  2. jcsd
  3. Feb 24, 2006 #2


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    Gold Member

    I think that you just find the forcee as a function of the x position of the rod on the right and integrate from a/2 to L.
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