Question

A regular polygon of 6 sides is formed by bending a wire of length 4 $\pi$ meter. If an electric current of $4 \pi \sqrt3$ A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be $x × 10^{–7}$ T. The value of $x$ is ____.

Answer 1

The magnetic field at the centre of a regular polygon with $n$ sides is given by:

$B = \frac{\mu_0 I n}{4\pi r} \left(\sin 30^\circ + \sin 30^\circ\right)$

Substituting values:

$B = 72 \times 10^{-7} \, \text{T}$