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JEE Main 202430 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2024 · 30 January · Evening Shift · Physics · Magnetic Effects of Current

The current of 5A flows in a square loop of sides 1m is placed in...

The current of 5A5A flows in a square loop of sides 1m1m is placed in air. The magnetic field at the centre of the loop is X2×10−7TX\sqrt{2} \times {10}^{- 7}T. The value of XX is _________.

Correct answer

0

Step-by-step solution

Magnetic field at the centre of the square loop is given by,

B=4[μ0I4\pid(sin⁡45°+sin⁡45°)]B = 4\left[\dfrac{{\mu}_{0}I}{4\pid}\left(\sin 45 ° + \sin 45 °\right)\right], where dd is perpendicular distance of the centre to one of its sides.

⇒B=4×μ0×54π×12(12+12)⇒ B = 4 \times \dfrac{{\mu}_{0} \times 5}{4\pi \times \dfrac{1}{2}}\left(\dfrac{1}{\sqrt{2}} + \dfrac{1}{\sqrt{2}}\right)

=4×10−7×5×2×2= 4 \times {10}^{- 7} \times 5 \times 2 \times \sqrt{2}

=402×10−7T= 40\sqrt{2} \times {10}^{- 7}T

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