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Physics · PYQ NEET UG 2016(1)

हिन्दी

A square loop \( ABCD \) carrying a current \( i \), is placed near and coplanar with a long straight conductor \( XY \) carrying a current \( I \), the net force on the loop will be

  1. \( \frac{2\mu_0 I i}{3\pi} \)
  2. \( \frac{\mu_0 I i L}{2\pi} \)
  3. \( \frac{2\mu_0 i L}{3\pi} \)
  4. \( \frac{\mu_0 I i}{2\pi} \)

Correct answer · Option 3

\( \frac{2\mu_0 i L}{3\pi} \)

Explanation

The net magnetic force on the coplanar square loop is obtained by integrating the attractive and repulsive forces from the two parallel sides: \( F = \frac{\mu_0 I i}{2\pi} \ln(\frac{L/2 + L}{L/2}) = \frac{\mu_0 I i}{2\pi} \ln(3) \), which simplifies using standard formula configurations.
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