Questions
Figure shows two long metal rails placed horizontally and parallel to each other at a separation . A uniform magnetic field B exists in the vertically downward direction. A wire of mass m can slide on the rails. The rails are connected to a constant current source which drives a current i in the circuit. The friction coefficient between the rails and the wire is µ . What should be the minimum value of µ which can prevent the wire from sliding on the rails?
detailed solution
Correct option is A
The force on the wire due to the magnetic field is
Or,
It acts towards right in the given figure. If the wire does not slide on the rails, the force of friction by the rails should be equal to F. If be the minimum coefficient of friction which can prevent sliding, this force is also equal to mg. Thus,
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