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Work required to move a charge through an electric field (3D)

  1. Sep 21, 2011 #1
    1. The problem statement, all variables and given/known data
    "This problem regards the work required to move a 6nC charge through an electric field given by

    E = wolframalpha-20110921163646221.gif

    Initial point is at (2,-2,3)

    Total length the charge is being moved = 2µm

    Unit path length vector: a_l = -6/7 * a_x + 3/7 * a_y + 2/7 * a_z



    2. Relevant equations
    W = -Q * integral(E dL, from init position --> final position)


    3. The attempt at a solution

    I'm having trouble setting up this integral because I'm not sure how to determine the final position given the initial position and the distance traveled. Or is that not necessary?
     
  2. jcsd
  3. Sep 22, 2011 #2
    I think the charge is moving in a straight line in the direction given by the above,

    "Unit path length vector: a_l = -6/7 * a_x + 3/7 * a_y + 2/7 * a_z"

    You know the distance traveled and the starting point.

    Good luck!
     
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