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A wire of length l, mass m and resistanc...

A wire of length `l`, mass `m` and resistance `R` slides without any friction down the parallel conducting rails of negligible resistance . The rails are connected to each other at the bottom by a resistanceless rail parallel to the wire so that the wire and the rails form a closed rectangualr conducting loop. The plane of the rails makes an angle `theta` with the horizontal and a uniform vertical magnetic field of the inducetion `B` exists throughout the rregion. Find the steady state velocity of the wire.

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