A copper wire of length and cross-sectional area carries a current of

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A copper wire of length 2 m2\,\text{m} and cross-sectional area 1 mm21\,\text{mm}^2 carries a current of 3 A3\,\text{A}. The mobility of electrons in copper is 4.5×10−3 m2 V−1 s−14.5\times10^{-3}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1} and the free-electron concentration is 8.5×1028 m−38.5\times10^{28}\,\text{m}^{-3}. Find the magnitude of the electric field inside the wire. (a) 4.9×10−3 V m−14.9\times10^{-3}\,\text{V m}^{-1} (b) 9.8×10−2 V m−19.8\times10^{-2}\,\text{V m}^{-1} (c) 4.9×10−2 V m−14.9\times10^{-2}\,\text{V m}^{-1} (d) 4.9×10−1 V m−14.9\times10^{-1}\,\text{V m}^{-1}

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