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JEE Main202431 Jan 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual

A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged in a perpendicular magnetic field B = B 0 j ^ as shown in figure. The magnetic force on the wire if it has a current i is :

Options

  1. A- i B R j ^
  2. B2 i B R j ^
  3. Ci B R j ^
  4. D- 2 i B R j ^

Correct answer

D. - 2 i B R j ^

Step-by-step solution

Direction of magnetic field is in + k ^ Force acting on wire is given by, F → = i l → × B → As, l = 2 R , we get ⇒ F → = - 2 i R B j ^

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