Questions

A conducting rod of length / and mass m is moving down a smooth inclined plane of inclination $θ$ with constant velocity v. A current i is flowing in the conductor in a direction perpendicular to paper inwards. A vertically upward magnetic field $\vec{B}$ exists in space. Then, magnitude of magnetic field $\vec{B}$ is

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mg il sinθ

mgiltanθ

mgcosθil

mgilsinθ

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detailed solution

Correct option is B

Magnetic force acts in the direction shown in figureRod will move downward with constant velocity if net force on it is zero. or Fmcosθ=mgsinθ or ilBcosθ=mgsinθ ∴ B=mgiltanθ

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