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Potential for semi-circle

  1. Feb 19, 2006 #1
    I have this problem for homework and I would like to check my work:

    Charges are distribyted with uniform charge density (lambda)along a semi circle of radius R, centered at the origin of a coordinate system.
    What is the potential at the origin?

    I did this:
    dV=k*dq/R where k=1/4*pi*(epsilon 0)

    but dq=(lambda)*R*d(theta) theta is the small angle between two position on the semi circle.

    then V =| k*(lambda)*R*d(theta) / R (integral from 0 to pi)
    After computation I found: V=(lambda)/(4*epsilon 0)

    Thank you
  2. jcsd
  3. Feb 20, 2006 #2


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    Looks ok.
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