Gauss's Law: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Gauss's Law. Understanding the underlying formula is key to arriving at the correct answer below:

The enclosed charge is $Q \mu\text{C} = Q \times 10^{-6} \text{ C}$. By Gauss's Law, total flux through the cube is $\frac{Q \times 10^{-6}}{\varepsilon_0}$. Since a cube has 6 symmetric faces, flux through any one surface is $\frac{Q \times 10^{-6}}{6\varepsilon_0}$.