QJEEM24Phf683: JEE Main 2024 Physics - Class 12 JEEM24Phf683 Solution: A regular polygon of 6 sides is formed by bending a wire of…

Question

Verified Solution • 2025–26 Session moderate

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 _________.

Accepted Answer

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

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