Two wires, one of copper and the other of aluminium, have equal lengths and equal…

PHYSICS · Subjective · CBSE · Physics · Current Electricity · Current Electricity

Problem

Two wires, one of copper and the other of aluminium, have equal lengths and equal radii. They are connected in series in the same circuit so that a current of 3.0 A3.0\,\text{A} passes through each of them. The number density of free electrons in copper is 8.5×1028 m−38.5\times10^{28}\,\text{m}^{-3}, while that in aluminium is 6.0×1028 m−36.0\times10^{28}\,\text{m}^{-3}. The charge of an electron is 1.6×10−19 C1.6\times10^{-19}\,\text{C}. (a) Calculate the ratio of the magnitudes of drift velocities in the copper and aluminium wires. (b) Which wire has the greater magnitude of drift velocity? Give a brief reason based on your answer to part (a).

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