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 $$300$$ 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 of $$300$$ 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

Infinity Learn · Accepted Answer

Mass per unit length of a metallic $$rodml=0.5$$ kg $$m-1Let$$ I be the current flowing. For equilibrium,$$mgsin30$$°$$=IlBcos30$$°$$I=mglBtan30$$°$$=0.5$$×$$9.80.25$$×$$3=11.32$$ A

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