As shown in the figure, a metallic rod of linear density 0 . 45 kg m - 1 is lying horizontally on a smooth incline plane which makes an angle of 45 ° with the horizontal. The minimum current flowing i

Question

As shown in the figure, a metallic rod of linear density $0.45 kg m^{- 1}$ is lying horizontally on a smooth incline plane which makes an angle of $45 °$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15 T$ magnetic field is acting on it in the vertical upward direction, will be

(Use $g = 10 m s^{- 2}$ )

TestHub · Accepted Answer

For the wire to remain stationary, the net force acting on it should be zero. Balancing the forces along the incline, m g sin 45 ° = I L B cos 45 ° ⇒ I = m L g B ⇒ I = 0 . 45 10 0 . 15 = 30 A

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