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AP EAMCET20224 Jul 2022Evening ShiftPhysicsMagnetic Effects of CurrentActual

A steel wire of length l and magnetic moment M is bent into a semicircular arc of radius R . The new magnetic moment is

Options

  1. AM
  2. B2 R M π l
  3. C2 M π
  4. D2 π R M l

Correct answer

C. 2 M π

Step-by-step solution

When wire is bent in the form of semicircular arc then, l = π r ∴ The radius of semicircular arc, r = l π Distance between two end points of semicircular wire = 2 r = 2 l π ∴ Magnetic moment of semicircular wire = m × 2 r = m × 2 l π = 2 π m l But m l is the magnetic moment of straight wire i.e., m l = M ∴ New magnetic moment = 2 π M

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