Electric Fields Practice Test

A thin spherical shell has radius $0.40\ \text{m}$ and total charge $+5.0\ \mu\text{C}$. Based on the scenario described, what is the electric field magnitude at $r=0.20\ \text{m}$ ($\varepsilon_0=8.85\times10^{-12}$)?

A spherical Gaussian surface of radius $0.25\ \text{m}$ encloses a point charge $Q=-2.0\ \mu\text{C}$. Based on the scenario described, using Gauss’s Law determine the electric flux through the surface ($\varepsilon_0=8.85\times10^{-12}$).