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A conducting wire of length l is placed ...

A conducting wire of length `l` is placed on a rough horizontal surface, where a uniform horizontal magnetic field B perpendicular to the length of the wire exists. Least values of the forces required to move the rod when a current `I` is established in the rod are observed to be `F_1` and `F_2 (lt F_1)` for the two possible directions of the current through the rod, respectively. Find the weight of the rod and the coefficient of friction between the rod and the surface.

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To solve the problem, we need to analyze the forces acting on the conducting wire placed on a rough horizontal surface in a magnetic field. We will derive the expressions for the weight of the rod and the coefficient of friction step by step. ### Step-by-Step Solution: 1. **Identify the Forces Acting on the Rod**: - The weight of the rod \( W = mg \) acts downward. - The normal force \( N \) acts upward. - The magnetic force \( F_m \) acts on the rod due to the current in the presence of the magnetic field. ...
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