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JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2024 · 1 February · Morning Shift · Physics · Magnetic Effects of Current

A regular polygon of 6 sides is formed by bending a wire of length...

A regular polygon of 66 sides is formed by bending a wire of length 4π4\pi meter. If an electric current of 4π3A4\pi\sqrt{3}A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be x×10−7T.x \times {10}^{- 7}T . The value of xx is ______.A regular polygon of 6 sides is formed by bending a wire of length 4π meter. If an electric current of 4π 3 A is

Correct answer

0

Step-by-step solution

A regular polygon of 6 sides is formed by bending a wire of length 4π meter. If an electric current of 4π 3 A is

Direction of magnetic field due to all six sides will be in the same direction, therefore we can write 

B=6(μ0I4\pir)(sin⁡30°+sin⁡30°)B = 6\left(\dfrac{{\mu}_{0}I}{4\pir}\right)\left(\sin 30 ° + \sin 30 °\right), where r=r =distance of the sides from the centre.

=610−7×4π3(π3×3)= 6\dfrac{{10}^{- 7} \times 4\pi\sqrt{3}}{\left(\dfrac{\pi}{3} \times \sqrt{3}\right)}

=72×10−7T= 72 \times {10}^{- 7}T

Hence, x=72x = 72.

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