1.

A metallic rod of mass per unit length 0.5kgm^(-1) is lying horizontally on a smooth inclined plane which makes an angle of 30^(@) 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.

Answer»

11.32 A
7.14 A
14.76 A
5.98 A

Solution :The METALLIC rod of mass is shown by `ilBcosthetaandmgsintheta`.

To keep rod in stationary,
`mgsintheta=ilBcostheta`
`thereforemg TANTHETA=ilB`
`thereforei=(mg tantheta)/(LB)`
`thereforei=(m/l)(g tantheta)/B`
`thereforei=(0.5xx9.8xxtan30^(@))/0.25`
`thereforei=(0.5xx9.8xx1)/0.25`
`thereforei=11.316A`
`thereforei~~11.32A`


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