The current generator `i_g`, shown in , sends a constant current I through the circuit. The wire ab has a length l and mass m and can slide on the smooth, horizontal rails connected to `l_g`. The entire system lies in a vertical magnetic field B. Find velocity of the wire as a function of time.
(##HCV_VOL2_C38_E01_081_Q01##)

Options

A. (a)`(ilBt)/(m)`
B. (b)`(ilBt)/(2m)`
C. ( c)`(2ilBt)/(m)`
D. (d)`(ilBt)/(3m)`

Answer

A

Explanation

(a) Force on the wire `= ilB`
`:.` Acceleration `=(ilB)/(m)`
`:.` Velocity `= (ilBt)/(m)`