Rankers Physics

Gauss's Law: Practice Problem & Solution

A point charge $+q$ is placed at the centre of a cube of side $l$. The electric flux emerging from the cube is (1996)
$\frac{6ql^2}{\varepsilon_0}$
$\frac{q}{6l^2\varepsilon_0}$
Zero
$\frac{q}{\varepsilon_0}$

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:

According to Gauss's Law, the total electric flux through a closed surface depends only on the net enclosed charge divided by permittivity, and is independent of dimensions. Therefore, the total flux emerging from the cube is $\frac{q}{\varepsilon_0}$.

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