Physics

Physics

Problem

A uniform wire 1.5 m1.5\,\text{m} long of resistance 0.30 Ω0.30\,\Omega and cross-sectional area 1.0 mm21.0\,\text{mm}^2 is connected to a 3.0 V3.0\,\text{V} battery of negligible internal resistance. The free-electron number density in the wire is 9.0×1028 m−39.0\times10^{28}\,\text{m}^{-3}; take e=1.6×10−19 Ce=1.6\times10^{-19}\,\text{C}. The electron mobility in the wire is closest to a) 7.0×10−4 m2 V−1 s−17.0\times10^{-4}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1} b) 3.5×10−4 m2 V−1 s−13.5\times10^{-4}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1} c) 1.8×10−4 m2 V−1 s−11.8\times10^{-4}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1} d) 3.5×10−5 m2 V−1 s−13.5\times10^{-5}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1}

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