A wire shaped to a regular hexagon of side `2 cm` carries a current of `2A`. Find the magnetic field at the cetre of the hexagon.

Explanation

To find the magnetic field at the center of a regular hexagon carrying a current, we can follow these steps:

### Step 1: Understand the Geometry of the Hexagon
A regular hexagon consists of six equal sides. Given that each side of the hexagon is 2 cm, we can visualize the hexagon and recognize that it can be divided into six equilateral triangles.

### Step 2: Calculate the Radius to the Center
The distance from the center of the hexagon to the midpoint of any side (which we will call \( r \)) can be calculated using the properties of a 30-60-90 triangle. In a regular hexagon, the radius \( r \) can be found using the formula:
\[
...