Static Fields 2021
For each case below, find the total charge.
- (4pts)
A positively charged (dielectric) spherical shell of inner radius
\(a\) and outer radius \(b\) with a spherically symmetric internal
charge density
\begin{equation*}
\rho(\vec{r})=3\alpha\, e^{(kr)^3}
\end{equation*}
- (4pts)
A positively charged (dielectric) cylindrical shell of inner radius
\(a\) and outer radius \(b\) with a cylindrically symmetric internal
charge density
\begin{equation*}
\rho(\vec{r})=\alpha\, \frac{1}{s}\, e^{ks}
\end{equation*}