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CUET · PHYSICS · PYQ PAPER 2025

A wire of length \( L \) meters, carrying a current \( I \) ampere is bent in the form of a circle. The magnitude of its magnetic moment, in SI units, is:

  1. A \( \frac{IL^2}{\pi} \)
  2. B \( \frac{IL^2}{2\pi} \)
  3. C \( \frac{IL^2}{4\pi} \)
  4. D \( \frac{IL^2}{8\pi} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \frac{IL^2}{4\pi} \)

Step-by-step Solution

Detailed explanation

\( r = \frac{L}{2\pi} \) \( A = \pi r^2 = \pi \left(\frac{L}{2\pi}\right)^2 = \frac{L^2}{4\pi} \) \( M = IA = I \left(\frac{L^2}{4\pi}\right) = \frac{IL^2}{4\pi} \)
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