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Electric field expression problem

  1. Apr 8, 2009 #1
    So here is the problem, there is thin rod of length L with total charge Q. The rod was placed so it is along the y-axis. From the rod a distance x is point P
    1. The problem statement, all variables and given/known data
    Find an expression for the electric fields E at distance x from the end of the rod. Give your answer in component form


    2. Relevant equations
    F= qE
    Delta Q= Lambda* Delta L (linearly charged density)
    E= integrate of delta E


    3. The attempt at a solution
    I integrate and found the x-component of the electric fields but haven't been able to figure the y-component.....I'm not sure what is the limit for the y-component (my limit for x-component was 0 to L)

    Thanks for all the helps
     
  2. jcsd
  3. Apr 8, 2009 #2

    rl.bhat

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    Homework Helper

    In this problem point P is fixed at a distance x from one end of the rod.
    Consider a small element dl on the rod. Charge on it will be Q/L*dl. Line joining P and dl make an angle theta with the rod. Due to this element field at P is given by
    dE = k*Q/L*dl/(x*2 + l*2)
    Its x-component is dE*sin(theta) = dE*x/(x^2 + l^2)^1/2 and limit will be 0 to L
    Its y-component is dE*cos(theta) = dE*l/(x^2 + l^2)^1/2 and limit will be 0 to L
     
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