Question 291: Magnetism and Matter

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 $x 	imes 10^{-7} \mathrm{~T}$.
The value of $x$ is _________.

Accepted Answer

$\begin{aligned} & B=6\left(\frac{\mu_0 I}{4 \pi r}ight)\left(\sin 30^{\circ}+\sin 30^{\circ}ight) \\ & =6 \frac{10^{-7} 	imes 4 \pi \sqrt{3}}{\left(\frac{\sqrt{3} 	imes 4 \pi}{2 	imes 6}ight)} \\ & =72 	imes 10^{-7} \mathrm{~T}\end{aligned}$

Magnetism and Matter

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} \mathrm{~T}. The value of x is _________.

Integer / Numeric Answer Type