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MHT CET 2024 (15 May, Shift 1) · Current Loop as a Magnetic Dipole

Current Loop as a Magnetic Dipole question from MHT CET 2024 (15 May, Shift 1)

Q30MHT CET 2024 · 15 MAY · SHIFT 1Medium

Current Loop as a Magnetic Dipole

Magnetic induction produced at the centre of a circular loop of radius ' RR ' carrying a current is ' B '. The magnetic moment of the loop is ( μ0=\mu_0 = permeability of free space)

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Answer: (b)

  1. B=μ0I2R⇒I=2BRμ0B = \frac{\mu_0 I}{2R} \Rightarrow I = \frac{2BR}{\mu_0}.
  2. M=IπR2=2BRμ0πR2M = I\pi R^2 = \frac{2BR}{\mu_0}\pi R^2
  3. So the answer is (b) 2πBR3μ0\frac{2\pi BR^3}{\mu_0}.
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