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Electric potential of a wire

  1. Mar 12, 2009 #1
    1. The problem statement, all variables and given/known data
    the wire in the image below has a linear charge density [tex]\lambda[/tex] . what is the electric potential at the center of the semicircle?
    http://img18.imageshack.us/img18/5139/physicsproblem.jpg [Broken]


    2. Relevant equations



    3. The attempt at a solution
    i know that the potential from the semi circle is V=KQ/R
    but im having a little trouble figuring out how to calculate the potential from the other 2R pieces of wire.
    can someone help me out here :)
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 13, 2009 #2

    rl.bhat

    User Avatar
    Homework Helper

    Consider a small element dx at a distance x from the center P on either 2R piece. Charge on this piece is lambda*dx. Potential due to this piece dV = K*lambda*dx/( R + x ). To find the potential due one piece find the integration between the limits x = R to x = (2R + R). Then double it to get the total potential due to two straight pieces.
     
    Last edited: Mar 13, 2009
  4. Mar 13, 2009 #3
    thanks allot for the help
     
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