Electric Fields Practice Test

A point charge $Q=+4.0\ \mu\text{C}$ sits at the center of a cube of side $0.60\ \text{m}$. Based on the scenario described, using Gauss’s Law determine total electric flux through the cube ($\varepsilon_0=8.85\times10^{-12}$).

An infinite plane has uniform surface charge density $\sigma=-4.0\times10^{-6}\ \text{C/m}^2$. Based on the scenario described, what is the electric field magnitude and direction $0.30\ \text{m}$ above the plane ($\varepsilon_0=8.85\times10^{-12}$)?