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Linear Charge Distribution Question

  1. Jan 25, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the electric field a distance z above the midpoint of a straight line segment of length 2L, which carries a uniform line charge [tex]\lambda[/tex].

    2. Relevant equations
    dE = 2 * (1 / 4[tex]\pi\epsilon[/tex]) * ([tex]\lambda[/tex]dx / r2) * cos[tex]\theta[/tex] [tex]\hat{z}[/tex]

    cos[tex]\theta[/tex] = z/r

    r = [tex]\sqrt{x2 + z2}[/tex]


    3. The attempt at a solution
    This an example question from my textbook with a full solution. The problem im having is that I don't understand where the x2 disappears right after this step.

    E = 1 / (4[tex]\pi[/tex][tex]\epsilon[/tex] [tex]\int[/tex] (2[tex]\lambda[/tex]z) / ([tex]\sqrt[3]{x2 + z2}[/tex]) dx

    And im not sure why the superscripts didn't work inside the square root function. Any help would be appreciated if anyone understands what im asking for.

    Thanks
     
  2. jcsd
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