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The current generator ig, shown in , se...

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.

A

(a)`(ilBt)/(m)`

B

(b)`(ilBt)/(2m)`

C

( c)`(2ilBt)/(m)`

D

(d)`(ilBt)/(3m)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Force on the wire `= ilB`
`:.` Acceleration `=(ilB)/(m)`
`:.` Velocity `= (ilBt)/(m)`
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