A regular polygon of 6 sides is formed by bending a wire of length meter. If an electric current of A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be . The value of is

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Solution

Q.
A regular polygon of 6 sides is formed by bending a wire of length $4 π$ meter. If an electric current of $4 π \sqrt{3}$ 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 ______. [2024]

Ans.
(72)

$B = 6 (\frac{μ_{0} I}{4 π r}) (\sin 30 ° + \sin 30 °)$

$= 6 \frac{10^{- 7} \times 4 π \sqrt{3}}{(\frac{\sqrt{3} \times 4 π}{2 \times 6})} = 72 \times 10^{- 7} T \Rightarrow x = 72$

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