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JEE Main 2024 (9 Apr, Shift 2) · Current Loop as a Magnetic Dipole

Current Loop as a Magnetic Dipole question from JEE Main 2024 (9 Apr, Shift 2)

Q35JEE Main 2024 · 9 APR · SHIFT 2Medium

Current Loop as a Magnetic Dipole

A straight magnetic strip has a magnetic moment of 44 A m244\text{ A m}^{2}. If the strip is bent in a semicircular shape, its magnetic moment will be ________ A m2\text{A m}^{2}.

(given π=227\pi = \frac{22}{7})

Numerical answer type. Work it out, then open the answer.

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Answer: 28

SN2r = 2l/πarc = l
  1. For a magnetic strip M=p lM = p\,l, where ll is the distance between the poles. Straight: p l=44p\,l = 44 A m2^2.
  2. Bent into a semicircle: arc πr=l\pi r = l, so the poles are now a diameter apart, 2r=2lπ2r = \frac{2l}{\pi}.
  3. M′=p⋅2lπ=2×4422/7=28M' = p\cdot\frac{2l}{\pi} = \frac{2\times44}{22/7} = 28
  4. So M′=28M' = 28 A m2^2.
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