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Does This Answer Make Sense (basic EM)

  1. Oct 8, 2011 #1
    1. The problem statement, all variables and given/known data

    The plastic rod of the length L=1 m has a non-uniform charge density λ=cx
    where positive constant c =2x10-6 [some unit]. What unit does c have? Find the electric
    potential at the point on the x axis 1 m to the left from the left end of the rod. Find the
    electric field at that point as well, preferably via potential.

    2. Relevant equations

    V=k*integral(cdx)

    3. The attempt at a solution


    V=kc*integral(dx)-----V=kcx------V=17980V

    Is it just me or is this completely wrong? This is not my solution--it's my teacher and I was under the impression that the integral would end up being (with d=end of rod to point P):

    V=kc*integral(x/d+x)-----V=kc[L-d(ln)(1+L/d)]

    He ttok his limits of integration as L to L+1, however, in the book it says it should be from 0 to L (even though that doesn't really affect the answer). It is his integration I do not agree with.

    Thanks in advance for any clarification.
     
  2. jcsd
  3. Oct 8, 2011 #2

    ehild

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    Last edited: Oct 8, 2011
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