Assuming that there are 0.845 * 10²⁹ electrons per m³ in a wire of with cross sectional area 69 mm² and carrying a current of 30 mA,what is the drift velocity?

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Quizplus · Accepted Answer

The drift velocity can be calculated using the formula $v_d = \frac{I}{nAe}$, where $I$ is the current, $n$ is the number of electrons per unit volume, $A$ is the cross-sectional area, and $e$ is the charge of an electron ($1.6 \times 10^{-19} C$). Given that $I = 30 \times 10^{-3} A$, $n = 0.845 \times 10^{29} \, \text{electrons/m}^3$, and $A = 69 \times 10^{-6} \, \text{m}^2$, substituting these values into the formula gives a drift velocity of $3.21 \times 10^{-8} \, \text{m/s}$.

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