# Will it ever stop?

A vertical conducting rod of mass $$m$$ and length $$L$$ is free to slide on two smooth horizontal conducting rails as shown, where there is a magnetic field of intensity $$B$$ directed inside the screen and the resistance of the resistor is $$R$$. The rod is given an initial velocity of $$v_0$$. Find the total distance travelled by the rod.

Assume that no other forces other than the magnetic force are acting on the rod.

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