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MHT CET 2026 (11 Apr, Shift 1) · Current Loop as a Magnetic Dipole

Current Loop as a Magnetic Dipole question from MHT CET 2026 (11 Apr, Shift 1)

Q14MHT CET 2026 · 11 APR · SHIFT 1Medium

Current Loop as a Magnetic Dipole

A wire of length LL is bent in the form of a circular coil and current 'ii' is passed through it. This coil is kept in magnetic field. The torque acting on the coil will be maximum, when the number of turns is ___

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Answer: (a)

  1. τmax=NiAB\tau_{max} = NiAB. With NN turns: N(2πr)=L⇒r=L2πNN(2\pi r) = L \Rightarrow r = \frac{L}{2\pi N}.
  2. NA=NπL24π2N2=L24πNNA = N\pi\frac{L^2}{4\pi^2N^2} = \frac{L^2}{4\pi N}, so τmax=iBL24πN∝1N\tau_{max} = \frac{iBL^2}{4\pi N} \propto \frac{1}{N}.
  3. Torque is largest for the smallest NN.
  4. So the answer is (a) 11.
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