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Electric Potential Energy of a Rod

  1. Feb 14, 2010 #1
    1. The problem statement, all variables and given/known data
    There is a thin rod of
    length L that carries a uniform charge per unit
    length [tex]\lambda[/tex]. Starting from the expression for the
    potential of a point charge, derive an expression
    for the electric potential V (y) at a distance y
    away from the centre of the rod on the axis (y) of
    the rod. Assume y > L/2.

    Use this result to derive the y-component of
    the electric field, Ey, along the axis of the rod,
    for y > L/2.

    2. Relevant equations
    V(r) = Q/4[tex]\pi[/tex][tex]\epsilon[/tex]r

    [tex]\Delta[/tex]V = - [tex]\int[/tex]E[tex]\cdot[/tex]ds

    3. The attempt at a solution
    I thought that the electric potential would be unchanged since the electric field is perpendicular to the displacement...

    Or is this acceptable because the wire is not infinite?
    Last edited: Feb 14, 2010
  2. jcsd
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