A light, frictionless conducting rod can slide on two horizontal parallel rails…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A light, frictionless conducting rod can slide on two horizontal parallel rails 0.60 m0.60\,\text{m} apart. The rails are connected at one end through a resistor of 0.40 Ω0.40\,\Omega. The region is filled with a uniform vertical magnetic field of magnitude 0.50 T0.50\,\text{T}. Starting from rest, the rod is pulled forward by a constant horizontal force of 1.0 N1.0\,\text{N}. After some time, it attains a steady (terminal) speed when the magnetic force balances the applied force. Determine this steady speed. (a) 6.7 m s−16.7\,\text{m\,s}^{-1} (b) 2.2 m s−12.2\,\text{m\,s}^{-1} (c) 4.4 m s−14.4\,\text{m\,s}^{-1} (d) 8.9 m s−18.9\,\text{m\,s}^{-1}

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