Ejercicio Problem - Electric charge, electric field and Gau… · Física II URV Juny 2022

System setup

A point charge of $-1\text{ nC}$ is located at the center of a conductive spherical shell in electrostatic equilibrium, having inner radius $r_1 = 2\text{ cm}$ and outer radius $r_2 = 4\text{ cm}$. The shell has a net charge of $+3\text{ nC}$.

Assume the permittivity of vacuum to be $\varepsilon_0 = 9 \times 10^{-12}\text{ C}^2/(\text{N}\cdot\text{m}^2)$.

a.

The surface charge density on the exterior surface of the shell.

b.

The electrostatic field in the region between the central point charge and the shell ($0 < r < r_1$). Express the magnitude or radial component as a function of distance $r$ (in meters).

V/m