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Two parallel long smooth conducting rail...

Two parallel long smooth conducting rails separated by a distance `l` are connected by a movable conducting connector of mass `m`. Terminals of the rails are connected by the resistor `R` and the capacitor `C` as shown in figure. A uniform magnetic field `B` perpendicular to the plane of the rail is switched on. The connector is dragged by a constant force `F`. Find the speed of the connector as a function of time if the force `F` is applied at `t = 0`. Also find the terminal velocity of the connector.

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