Hi guys,
How do you calculate the potential due to a disc of radius $a$ and
uniform charge density $\sigma$ in cylindrical coordinates? I'm
expanding the solution in bessel functions s.t.
\begin{equation}
\Phi(\rho,z) = \int_0^\infty A(k) exp{-k |z|} J_0(k\rho) dk
\end{equation}
I believe $\Phi$ is continuous everywhere and $\vec{E}$ is
discontinuous by $\sigma/\epsilon_0$ for $\rho<a$. this latter
condition doesn't sound quite right because of edge effects? what
happens at the edge of the disk?
.
|
