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Gauss surface question?

  1. Jul 5, 2013 #1
    1. The problem statement, all variables and given/known data
    an infinite plan,parallel to the yz plan which passes from x=2 meter, is charged equally with the σ= 2μC/m^2 .A sphere with a radius 0.8 meters has its center in the in x=1 m,y=0 and has ρ=-6μC/m^3.Find the value of the intensity of the electric field in the point x=1 m and y=0.5 m.



    2. Relevant equations
    the figure : a7Hacah.jpg


    3. The attempt at a solution
    The E at P is = Eplane + Esphere
    I find the E of plane =(-σ/2∈ )* i=-113kN/C * i
    To find the E of sphere, I have to use the formula E=(4*pi/3)*k*r*ρ*rˆ... I have every known data,I just need to find the unit vector r or (rˆ)..how to find it?
     
  2. jcsd
  3. Jul 5, 2013 #2

    rude man

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    Homework Helper
    Gold Member

    By symmetry, what is the direction of the E field at point p due to the sphere by itself?
    Hint: invoke Gauss's law.
     
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