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 of 30o with the horizontal. The rod is not allowed to slide down by a flowing a current through it when a magnetic field of induction 0.25T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is?
14.76A
7.14A
11.32A
5.98A
A
14.76A
B
7.14A
C
5.98A
D
11.32A
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Solution
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B=0.25T
ml=0.5kgm
θ=30o
F=Bil
Fcos30 balances mgsin30
∴(Bil)cos30o=mgsin30
⇒i=mlgBsin30cos30=0.5×9.80.25×866×12=11.32A
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Q1
A metallic rod of mass per unit length 0.5kgm−1 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 0.25T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is