A metallic rod of mass per unit length 0.5 kg m - 1 is lying horizontally on a smooth inclined plane which…

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 30o 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
  1. 14.76 A
  2. 5.98 A
  3. 7.14 A
  4. 11.32 A

Solution

For equilibrium of conductor

ilBcosθ=mgsinθ
i=mglBtanθ=mlgtanθB 
i=0.5×9.80.25×13=11.32 A.

Asked in: NEET 2018

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