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JEE Main20241 Feb 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual

A regular polygon of 6 sides is formed by bending a wire of length 4 π meter. If an electric current of 4 π 3 A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be x × 10 - 7 T . The value of x is ______.

Correct answer

0

Step-by-step solution

Direction of magnetic field due to all six sides will be in the same direction, therefore we can write B = 6 μ 0 I 4 π r sin 30 ° + sin 30 ° , where r = distance of the sides from the centre. = 6 10 - 7 × 4 π 3 π 3 × 3 = 72 × 10 - 7 T Hence, x = 72 .

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