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Electric Potential Over Non-Uniform Rod

  1. Feb 15, 2015 #1
    1. The problem statement, all variables and given/known data
    The thin plastic rod shown in the figure has length L = 18.0 cm and a nonuniform linear charge density λ = cx, where c = 14.5 pC/m2. With V = 0 at infinity, find the electric potential at point P1 on the axis, at distance d = 5.10 cm from one end.

    Figure is attached.

    2. Relevant equations
    [tex]q= \lambda x \\
    \lambda = cx \\
    dv = (kdq)/r[/tex]

    3. The attempt at a solution
    [tex]q= \lambda x \\
    dq = \lambda dx \\
    dq = cxdx[/tex]

    I figured you would just use
    [tex]v =kc \int_{0}^{L}[x/(x+d)]dx[/tex]
    And plug in L, solving for V, in which I get -0.17V, which is flagged as incorrect.

    Am I approaching this correctly or is there something I am missing?
     

    Attached Files:

  2. jcsd
  3. Feb 15, 2015 #2

    gneill

    User Avatar

    Staff: Mentor

    The setup for the integral looks okay. You'll have to show details of how you solved the integral.
     
  4. Feb 15, 2015 #3
    This can be closed, I just integrated incorrectly.
     
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