A regular polygon of 6 sides is formed by bending a wire of length 4π meter.

Question

A regular polygon of 6 sides is formed by bending a wire of length \(4\pi\) meter. If an electric current of \(4\pi \sqrt {3}\,A\) is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be \(x\times 10^{-7} T.\) The value of x is ____.

Answer 1

Correct answer is : 72

\(B =6\left(\frac {\mu _0I}{4\pi r}\right)(sin \,30^\circ +sin \,30^\circ)\)

\(=6\cfrac {10^{-7}\times 4\pi \sqrt {3}}{\left(\frac {\sqrt {3}\times 4\pi}{2\times 6}\right)}\)

\(=72 \times 10^{-7}T\)