The current generator ig, shown in figure, sends a constant current i through the circuit. The wire ab has a length / and mass m, slide on the smooth, horizontal rails connected to ig. The entire system lies in a vertical magnetic field B. The velocity of the wire as a function of time is

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ilBtm

ilBt2m

2ilBtm

ilBt3m

answer is A.

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Detailed Solution

Force on the wire = ilB,∴ Acceleration =ilBm∴ Velocity = ilBtm

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