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.
Text Solution
AI Generated Solution
To find the magnetic field at the center of a regular hexagon with a side length of 2 cm carrying a current of 2 A, we can follow these steps:
### Step 1: Understand the Configuration
A regular hexagon consists of 6 equal sides. Each side can be treated as a straight wire carrying current. The magnetic field at the center due to each side can be calculated using the formula for the magnetic field due to a finite straight wire.
### Step 2: Magnetic Field Due to a Finite Wire
The magnetic field \( B \) at a point due to a finite straight wire carrying current \( I \) is given by:
\[
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