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NEET2018PhysicsMagnetic Effects of CurrentActual

A metallic rod of mass per unit length 0.5   kg   m - 1 is lying horizontally on a smooth inclined plane which makes an angle 30 o with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0 . 25   T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is

Options

  1. A14 . 76   A
  2. B5 . 98   A
  3. C7 . 14   A
  4. D11 . 32   A

Correct answer

D. 11 . 32   A

Step-by-step solution

For equilibrium of conductor i l B cos ⁡ θ = m g sin ⁡ θ i = m g l B tan ⁡ θ = m l g tan ⁡ θ B   i = 0.5 × 9.8 0.25 × 1 3 = 11.3  A .

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