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Infinite sheets of charge w/ conducting slab

  1. Feb 17, 2009 #1
    1. The problem statement, all variables and given/known data
    Two infinite sheets with surface charge density σ1 and σ2, respectively, are oriented perpendicular to the x-axis. An infinite, conducting slab of thickness a is placed between the charged sheets as shown in the figure. The conducting plate has a net charge per unit area of σC.

    σ1=8.85[tex]\mu[/tex]C/m^2
    σ2=1.5[tex]\mu[/tex]C/m^2
    σC=-3[tex]\mu[/tex]C/m^2
    a=2cm

    2. Relevant equations
    E=[tex]\sigma[/tex]/2[tex]\epsilon[/tex]0


    3. The attempt at a solution

    I figured since the magnitude of the electric field is not determined by displacement, I could just use the above equation. The only problem it that the conducting slab has different surface charge density on each side and I'm not sure how to start this. I have an exam tomorrow so any help is greatly appreciated!
     
  2. jcsd
  3. Feb 17, 2009 #2

    LowlyPion

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    Homework Helper

    What are you asked to find?
     
  4. Feb 17, 2009 #3
    Oops sorry:
    Calculate the x-component of the net electric field at x = 0.
    I figured that part out though.
    The next part asks to calculate the surface charge density on each side of the slab. I'm not sure how to do that. I do know that both sides need to equal the total surface charge density of the slab. Is that right?
     
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