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A circular loop of radius R carrying current I is kept in XZ plane. A uniform and constant magnetic field B → = B 0 i ^ + 2 B 0 j ^ + 3 B 0 k ^ exists in the region ( B 0 - a positive constant) . Then the magnitude of the torque acting on the loop will be

Options

  1. A2 I π R 2 B 0
  2. B5 I π R 2 B 0
  3. C10 I π R 2 B 0
  4. D6 I π R 2 B 0

Correct answer

C. 10 I π R 2 B 0

Step-by-step solution

Magnetic dipole moment, M → = ± I π R 2 j ^ τ → = M → × B → = ± I π R 2 j ^ × B 0 i ^ + 2 B 0 j ^ + 3 B 0 k ^ τ → = ± I π R 2 B 0 - k ^ + 3 i ^

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