Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 x 10 –7 m 2 carrying a current of 1.5 A. Assume the density of conduction electrons to be 9 x 10 28 m –3 . - Wired Faculty

Current Electricity

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Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 x 10^–7 m²carrying a current of 1.5 A. Assume the density of conduction electrons to be 9 x 10²⁸ m^–3.

Solution

Area of cross-section, A = 1.0 x 10^–7 m^²

Current = 1.5 A

Density of conduction electrons = 9 x 10²⁸ m^–3

Drift velocity of electrons is given by,
$straight v subscript straight d space equals space 1 over neA space space space space space equals fraction numerator 1 over denominator 9 space straight x space 10 to the power of 28 space straight x space 1.6 space straight x space 10 to the power of negative 19 end exponent space straight x space 1.0 space straight x space 10 to the power of negative 7 end exponent end fraction space straight m divided by straight s space space equals space 1.048 space straight x space 10 to the power of negative 3 end exponent space straight m divided by straight s$

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Current Electricity

Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 x 10^–7 m²carrying a current of 1.5 A. Assume the density of conduction electrons to be 9 x 10²⁸ m^–3.

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Current Electricity

Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 x 10–7 m2 carrying a current of 1.5 A. Assume the density of conduction electrons to be 9 x 1028 m–3.

Some More Questions From Current Electricity Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 x 10^–7 m²carrying a current of 1.5 A. Assume the density of conduction electrons to be 9 x 10²⁸ m^–3.