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JEE Main20199 Jan 2019Morning ShiftPhysicsMagnetic Effects of CurrentActual

An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d d ≫ a . If the loop applies a force F on the wire then:

Options

  1. AF ∝ a d 2
  2. BF = 0
  3. CF ∝ a 2 d 3
  4. DF ∝ a d

Correct answer

A. F ∝ a d 2

Step-by-step solution

U = - P → . B - F = - ∂ U ∂ r = P d B d r F = i 2 π a 2 × d d r μ 0 i 1 2 π r F = i 1 i 2 π 0 a 2 2 1 r 2 F ∝ a r 2 As r = d F ∝ a 2 d 2

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