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Statement of a problem № 3869

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A square wire of length l , mass m and resistance R slides without friction on parallel conducting resistance rails as in Fig. 13.19. The rails are interconnected at the bottom by resistance rails so that R, the wire and rails form a closed rectangular loop. The plane of the rails is inclined at an angle T with the horizontal and a vertical uniform magnetic field B exists within the frame. Show that the wire acquires a steady velocity of magnitude v= (mgR sin T)/B^2l^2 cos^2T

Solution:
A square wire of length l , mass m and resistance R slides without friction on p

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