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A straight rod of mass m and length l can slide on two parallel plastic rails kept in a horizontal plane with separation d. The coefficient of friction between the wire and the rails is μ. If the wire carries a current i, what minimum magnetic field should exist in space in order to slide the wire on the rails.

A straight rod of mass m and length l can slide on two parallel plastic rails kept in a horizontal plane with separation d. The coefficient of friction between the wire and the rails is μ. If the wire carries a current i, what minimum magnetic field should exist in space in order to slide the wire on the rails.  

Grade:upto college level

1 Answers

Nirmal Singh
20 Points
10 years ago
Let us consider the Magnetic field is B. Then The force on the wire due to magnetic field is F = ilB If the wire does not slide on the rails, the force of friction by the rails should be equal to F If B be the minimum Magnetic field which can prevent sliding, this force is also equal to frictional force miyu*mg. Thus, Miyu*mg = ilB B = Miyu*mg/il

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