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Potential of Infinite Sheets of Charge and Conducting Slab

  1. Sep 12, 2012 #1
    1. The problem statement, all variables and given/known data

    An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity σ1 = 0.39 μC/m2. Another infinite sheet of charge with uniform charge density σ2 = -0.15 μC/m2 is located at x = c = 30.0 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 13.0 cm and x = 17.0 cm).

    What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (23.5 cm, -17.0 cm)?

    2. Relevant equations
    1/4*∏*ε *∫dq/r


    3. The attempt at a solution

    I figured I could just use the equation I gave above and integrate to get ln(r) and subtract point S-point P, but it did not work. I just want some guidance as to how to progress. Thank you in advance, I am kind of new here so I appreciate the help.
     

    Attached Files:

  2. jcsd
  3. Sep 14, 2012 #2
    You must take into account the conductor between the two charges.

    Use V=2*pi*k*Charge Density*d

    It will be easier if you split it into pieces and then continue,

    A) V(P)=2*pi*k*σ1*(d from first line of charge)
    +V(p)=2*pi*k*σ2*(d from second line of charge minus the conductor)

    then do the same for V(s)
     
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