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Calculating capacitance of capacitor filled with 2 dielectrics

  1. Sep 14, 2012 #1
    1. The problem statement, all variables and given/known data

    A capacitor is formed by 2 square metal plates of edge a and separated by distance d. Dielectrics of dielectrics constants K1 and K2 are filled in the gap as shown.

    capacitor1.jpg

    2. The attempt at a solution

    This was my initial approach:

    capacitor.jpg

    I integrated the parallel combination of elemental capacitors dC1 and dC2, but I didnt get the correct answer.

    Next, I tried taking the elemental capacitors in series instead of parallel:

    Untitled.png

    This time my answer turned out to be correct.:smile:

    Can someone help me identify the flaw in my initial approach? I suspect I was wrong in assuming that the elemental capacitors were in parallel in the first place.

    Opinions?
     
    Last edited: Sep 14, 2012
  2. jcsd
  3. Sep 14, 2012 #2
    Anyone ?
     
  4. Sep 15, 2012 #3
    No one?:frown:

    Please, can anyone help me out?
     
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