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  4. Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is v. If the electron density in copper is 9 × 1028 /m3 the value of v in mm/s is close to (Take charge of electron to be = 1.6 × 10-19C)

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Q. Drift speed of electrons, when $1.5\, A$ of current flows in a copper wire of cross section $5\, mm^2$, is $v$. If the electron density in copper is $9 \times 10^{28} /m^3$ the value of $v$ in mm/s is close to (Take charge of electron to be = $1.6 \times 10^{-19}C$)

JEE MainJEE Main 2019Current Electricity

Solution:

$I = neAv_{d} $
$\Rightarrow v_{d} = \frac{I}{neA} = \frac{1.5}{9 \times10^{28} \times1.6 \times 10^{-19} \times 5\times 10^{-6}} $
= $0.02\, m/s$