Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Fully filled capacitors with parallel dielectrics problem

  1. Dec 4, 2017 #1
    consider that we have two dielectrics inside a capacitor as shown in the picture, let0s consider also that Q is the charge of the capacitor and d the distance between the two plates , the first dielectric occupy a surface of S/3 with a dielectric constant of er1 and the second a surface of 2S/3 with a dielectric constant of er2, the question is calculate the electric field inside the capacitor and the surface density of the induced charge (see the uploaded image)
    During the calculation I faced the following doubts: I applied gauss theorem to the flux density in both areas of the dielectrics and I got: QEAJg.gif

    σ is the surface density of the free charges =Q/S,


    doing the same with the second surface I got that y48Zg.gif

    and because my two dielectric are in parallel so E1=E2

    this gives me MHZ6c.gif

    BUT this not true!!! so where did my logic fails??

    Many thanks in advance!! dielectric.png dielectric.png dielectric.png
  2. jcsd
  3. Dec 4, 2017 #2


    User Avatar
    Homework Helper
    Gold Member

    Charge density on the plates will not be uniform.
  4. Dec 4, 2017 #3
    Thanks for your prompt reply, it makes sens but can you elborate more?
  5. Dec 4, 2017 #4
    I just go why the charge density is different from dielectric to dielectric
    many thanks !!!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted