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Question

A metallic rod of mass per unit length 0.5 kg m1 is lying horizontally on a smooth inclined plane which makes an angle of 30o with the horizontal. The rod is not allowed to slide down by a passing 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

A
14.76 A
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B

7.14 A
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C

11.32 A
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D

5.98 A
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Solution

The correct option is C
11.32 A

B=0.25 T
ml=0.5 kgm
θ=30o
F=Bil
Fcos30o=mgsin30o
(Bil)cos30o=mgsin30o
i=mlgBsin30ocos30o

=0.5×9.80.25×0.866×12=11.32 A

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