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NotHeisenburg
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Homework Statement
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##.
Homework Equations
## V(t)=at ## where ##a## is a constant.
The radius of the plates is given to be ##R##
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} ##
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