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A conductor bar with mass m and length L...

A conductor bar with mass m and length L slides over horizontal rails that are connected to a voltage source. The voltage source maintains a constant current I in the rails and bar, and constant, uniform, vertical magnetic field `vecB` fills the region between the rails (as shown in Fig.)
If the bar has mass m, find the distance d that the bar must move along the rails from rest to attain speed v.

A

`(3v^2m)/(2ILB)`

B

`(5v^2m)/(2ILB)`

C

`(v^2m)/(ILB)`

D

`(v^2m)/(2ILB)`

Text Solution

Verified by Experts

The correct Answer is:
d
`F=ILB`, to the right.
`v^2=2ad implies d=(v^2)/(2a)=(v^2m)/(2ILB)`
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