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 30 o 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

Question

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 30 o 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, 14 . 76 A, 5 . 98 A, 7 . 14 A, 11 . 32 A

MARKS App · Accepted Answer

For equilibrium of conductor i l B cos ⁡ θ = m g sin ⁡ θ i = m g l B tan ⁡ θ = m l g tan ⁡ θ B i = 0.5 × 9.8 0.25 × 1 3 = 11.3 A .

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