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Finding magnitude of x-component Electric Field due to a Line Charge

  1. Feb 16, 2013 #1
    1. The problem statement, all variables and given/known data

    A rod lies on the x-axis with one end at the origin and another at x=2. The linear charge density is given by λ(x)=C(x^(3) + 3x^(2)). Find the x-component of the electric field Ex at the origin in terms of q.

    2. Relevant equations
    Ex = ƩdEx
    ||dE||= (k|dq|/r^(2)) (z/r)
    dq = λ dx


    3. The attempt at a solution

    I took z = 0 since there is no z dimension. r to be 2 since the rod is 2m long. So Ex = (1/4)kq. But the answer solution says (-2/3)kq.
     
  2. jcsd
  3. Feb 16, 2013 #2

    tms

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    Re: Finding magnitude of x-component Electric Field due to a Line Char

    Since you only want the x component, this is just a simple one-dimensional integration from one end of the rod to another.
     
  4. Feb 16, 2013 #3
    Re: Finding magnitude of x-component Electric Field due to a Line Char

    I'm not seeing this integral then.
     
  5. Feb 16, 2013 #4

    tms

    User Avatar

    Re: Finding magnitude of x-component Electric Field due to a Line Char

    You want to add up the contribution to the field from each infinitesimal charge element on the rod.
     
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