Rankers Physics

Gauss's Law: Practice Problem & Solution

A charge $Q$ is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is: (2000)
$\frac{Q}{6\varepsilon_0}$
$\frac{Q}{8\varepsilon_0}$
$\frac{Q}{\varepsilon_0}$
$\frac{Q}{2\varepsilon_0}$

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:

A charge placed at the corner of a cube is shared equally among 8 identical adjacent cubes. Therefore, the effective charge enclosed by the single cube is $\frac{Q}{8}$. By Gauss's law, the total electric flux passing through the cube is $\frac{Q}{8\varepsilon_0}$.

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