A metallic rod of mass per unit length 
is lying horizontally on a smooth inclined plane which makes an angle of 
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 [NEET 2018]
Text Solution
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As, the system is in equilibrium,
or 
… (i)
where, F is the magnitude of force experienced by the rod when placed in a magnetic field and current I is flowing through it.
But the force experienced by the given rod in a uniform magnetic field is
Eq. (i) becomes,
According to the question,
Here, 
,
Substituting the given values in Eq. (ii), we get
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