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 $4 \pi \sqrt{3} \mathrm{~A}$ 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
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Answer: (72)
Solution:
$\mathrm{B}=6\left(\frac{\mu_{0} \mathrm{I}}{4 \pi \mathrm{r}}\right)\left(\sin 30^{\circ}+\sin 30^{\circ}\right)$
$=6 \frac{10^{-7} \times 4 \pi \sqrt{3}}{\left(\frac{\sqrt{3} \times 4 \pi}{2 \times 6}\right)}$
$=72 \times 10^{-7} \mathrm{~T}$
