A metal wire of mass m slides without friction on two horizontal rails spaced distance d-apart as shown in figure. The rails are situated in a uniform magnetic field B, directed vertically upwards, and a battery is sending a current I through them. Find the velocity of the wire as a function of time, assuming it to be at rest initially.

A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

A conducting wire of length l and mass m can slide without friction on two parallel rails and is connected to capacitance C . Whole system lies in a magnetic field B and a constant force F is applied to the rod. Then

In a metal wire of mass m=24.1 mg can slide with negligible friction on two horizontal parallel rails separated by distance d=2.56 cm . The track lies in a vertical uniform magnetic field of magnitude 56.3 m. At time t=0 , device G is connected to the rails . producing a constant current i=9.13 mA in the wire and rails (even as the wire moves). At t=61.1 ms , what are the wire's (a) speed and (b) direction of motion (left or right)?