First slide

electric current

Question

What is the drift velocity of electrons in Silver wire of 2 mm radius, carrying a current of 4 A and having number of electrons per unit volume as $5.8 \times 10^{28} m^{- 3}$ .

Moderate

A

$34.3 {mms}^{- 1}$
B

$34.3 {μms}^{- 1}$
C

$4.3 {μms}^{- 1}$
D

$4.3 {mms}^{- 1}$

Solution

$\begin{array}{rcl} i & = & {neAv}_{d} \\ 4 & = & 5.8 \times 10^{28} \times 1.6 \times 10^{- 19} \times 3.14 \times {(2 \times 10^{- 3})}^{2} \times v_{d} \\ v_{d} & = & 34.3 {μms}^{- 1} \end{array}$

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