A regular polygon of 6 sides is formed by bending a wire of length 4π m. If an electric current of 4√3π A is flowing through the sides of the polygon, the magnetic field at the centre is x × 10⁻⁷ T. The value of x i s ____.

Question

G1 Physics · Accepted Answer

For the regular hexagon, each side has length: s = 4π/6 m Magnetic field at the centre due to each side is obtained using the finite straight-wire expression. Adding contributions from all 6 sides gives: B = 72 × 10⁻⁷ T Therefore, x = 72