Magnetic Effects Of Current Question 1

Question 1 - 2024 (01 Feb Shift 1)

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

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Answer: (72)

Solution:

$B=6\left(\frac{\mu _0 I}{4 \pi r}\right)\left(\sin 30^{\circ}+\sin 30^{\circ}\right)$

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

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