Calculating capacitance of capacitor filled with 2 dielectrics

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  • #1
darkv0id
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Homework Statement



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:

Answers and Replies

  • #2
darkv0id
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Anyone ?
 
  • #3
darkv0id
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No one?:frown:

Please, can anyone help me out?
 

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