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 B→ exists in space. Then, magnitude of magnetic field B→ is
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a
mg il sinθ
b
mgiltanθ
c
mgcosθil
d
mgilsinθ
answer is B.
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Detailed Solution
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