Answer :


Given-



Length of the two metallic strips = l



Distance between the strips = b



Mass of the wire = m



Strength magnetic field = B



Coefficient of friction between the wire and the floor = μ



Let the wire moved by a distance x.



The magnetic field present,will act on the wire towards the right.



As coefficient of friction is zero as the space between the wire and strip is smooth .


Due to the influence of magnetic force, the wire firstly will travel a distance equal to the length of the strips.


After this, it travels a distance x and then ,a frictional force will act opposite to its direction of motion on the wire.



So work done by the magnetic force and the frictional


force will be equal.



where


μ is the coefficient of friction for the two surfaces


W is the weight of the object


= mass × acceleration due to gravity


= mg


Magnetic force due to presence of current given by –




where,


B= magnetic field


I = current


l = length of the wire


and θ = the angle between B and l



Thus,







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