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Quasi-electrostatic capacitor

  1. Oct 13, 2014 #1
    1. The problem statement, all variables and given/known data
    I am trying to find the electric and magnetic fields between two parallel circular plates, where one plate is grounded and the the other has a voltage that increases linearly with time. I need the E field between plates, and I can ignore fringing fields. The permativity is specified to be ##\epsilon_0##.


    2. Relevant equations
    ## V(t)=at ## where ##a## is a constant.
    The radius of the plates is given to be ##R##


    3. The attempt at a solution
    ##E(\vec{r},t)=\frac{1}{4\pi\epsilon_0}\int\frac{(\vec{r}-\vec{r}')\rho(\vec{r}',t)d^3r'}{|\vec{r}-\vec{r}'|^3}##

    ##\rho(\vec{r},t)=##???

    With the E field I would find the B field using

    ## \nabla \times B=\mu_0\vec{J}+\frac{1}{c^2}\frac{\partial E}{\partial t} ##
     
    Last edited: Oct 13, 2014
  2. jcsd
  3. Oct 14, 2014 #2

    gneill

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    Staff: Mentor

    It sounds like a simple parallel plate capacitor setup. You can find the plate area easily enough from the given radius. Do you have a value for plate separation?
     
  4. Oct 14, 2014 #3
    I would assume that I could just call the plate separation ##d##
     
  5. Oct 14, 2014 #4

    gneill

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    Staff: Mentor

    Sure. And it's well known that, ignoring edge effects, the electric field between the plates of a parallel capacitor is uniform.
     
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