Total Charge (HW)

• This problem is used in the following sequences

  1. << Total Current, Square Cross-Section | Integration Sequence |

• charge density curvilinear coordinates
• Static Fields 2021

  For each case below, find the total charge.

  1. (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*}
  2. (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*}