Friction and Magnetism

A straight rod of mass \(1\text{ kg}\) and length \(1\text{ m}\) can slide on two parallel plastic rails kept in a horizontal plane with separation \(1\text{ cm}\). The coefficient of friction between the wire and rails is \(\sqrt3\).

If the wire carries a current \(10A\), what minimum magnetic field would allow the wire to slide on the rails?

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