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Point charge/work problem.

  1. Feb 6, 2006 #1
    A positive point charge q1 = 2.30uC is located at the origin (x=0, y=0). The charge is held fixed. Another point charge q2 = 5.60uC starts at the point (0.180 m,0). What is the magnitude of the work required to move q2 to
    (0,0.370 m) (in J)?

    How do I do this?

    I know W =Fd, but I don't think I can use the equation F = (k1q2)/r^2, because the distance is constantly changing.

    Can anyone at least give me a hint or some insight?
  2. jcsd
  3. Feb 6, 2006 #2
    Remember, the electric force is conservative. That means that the path travelled does NOT affect the total work done. It's simply a matter of where the point starts, and where it ends. Find the potential energy at each place, and [itex]W = -\Delta PE[/itex].

    Note that work is only done when r changes, by the way. Otherwise, the charge is travelling on an equipotential surface, and you get to move it around for free.

    Also, W = F DOT d, which is an important distinction.
  4. Feb 6, 2006 #3


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    Indeed, W=Fd holds only if F is constant. If F changes over the distance, you have to cut the distance into many small pieces and take F to be constant over each piece and sum up the contributions. In other words: integrate.
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