A current of 2 A flows through a wire of cross-sectional area . The number of free electrons in a cubic meter are . The drift velocity of the electrons is ____ (given, charge on electron ). [2023]

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Solution

Q.
A current of 2 A flows through a wire of cross-sectional area $25.0 {mm}^{2}$ . The number of free electrons in a cubic meter are $2.0 \times 10^{28}$ . The drift velocity of the electrons is ____ $\times 10^{- 6} {ms}^{- 1}$ (given, charge on electron $= 1.6 \times 10^{- 19} C$ ). [2023]

Ans.
(25)

$Drift velocity$

$v_{d} = \frac{I}{n e A} = \frac{2}{2 \times 10^{28} \times 1.6 \times 10^{- 19} \times 25 \times 10^{- 6}}$

$= 25 \times 10^{- 6} {ms}^{- 1}$

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