A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaced of the cube.

Explanation

To find the electric flux through the six surfaces of a cube with a charge \( Q \) placed at its center, we can use Gauss's Law. Here’s a step-by-step solution:

### Step 1: Understand Gauss's Law
Gauss's Law states that the electric flux \( \Phi \) through a closed surface is proportional to the charge \( Q_{\text{enc}} \) enclosed by that surface. Mathematically, it is expressed as:
\[ \Phi = \frac{Q_{\text{enc}}}{\epsilon_0} \]
where \( \epsilon_0 \) is the permittivity of free space.
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