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[Electrostatics] Flux Problem,

  1. Feb 28, 2008 #1
    Electrostatics Flux Problem

    1. The problem statement, all variables and given/known data
    A linear charge rho L = 2.0 uC lies on the y-z plane. Find the electric flux passing through the plane extending from 0 to 1.0m in the x direction and from -infinity to infinity in the y direction.


    2. Relevant equations
    Alright, so the formula to use is:

    flux = (integral(integral)(Ds * dS)) where dS is a vector whose direction is normal to the surface element ds and has a magnitude of ds and Ds is the electric flux density passing through ds

    Turns out the answer is simply 1/8 * the given line charge.

    This is because the lines x = 0 and x = 1 when viewed from above make a 45 degree angle. The area enclosed here is exactly 1/8th of the entire area.

    A more analytical solution would be great though.
     
    Last edited: Feb 28, 2008
  2. jcsd
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