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JEE Main202228 Jul 2022Evening ShiftPhysicsMagnetic Effects of CurrentActual

A triangular shaped wire carrying 10 A current is placed in a uniform magnetic field of 0 . 5 T , as shown in figure. The magnetic force on segment C D is (Given B C = C D = B D = 5 cm ).

Options

  1. A0 . 126   N
  2. B0 . 312   N
  3. C0 . 216   N
  4. D0 . 245   N

Correct answer

C. 0 . 216   N

Step-by-step solution

Force due to magnetic field on a current carrying conductor is given by, F → = i l → × B → . The angle between the magnetic field and the direction of the current in the wire C D is 60 ° . Therefore, F = i l B sin 60 ° ⇒ F = 10 × 0 . 05 × 0 . 5 × 3 2 ⇒ F = 0 . 216   N

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