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Question: AB and CD are smooth parallel rails, separated by a distance L and inclined to the horizontal at an ...

AB and CD are smooth parallel rails, separated by a distance L and inclined to the horizontal at an angle q. A uniform magnetic field of magnitude B, directed vertically upwards, exists in the region. EF is a conductor of mass m, carrying a current I. For EF to be in equilibrium :

A

I must flow from E to F

B

BIL = mg cosq

C

BIL = mg sin q

D

BIL = mg

Answer

I must flow from E to F

Explanation

Solution

N cos q = mg …..(1)

[Ä indicates current I is flowing into the paper]

N sin q = BIL …..(2)

\ tan q = BILmg\frac{BIL}{mg}