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Q.

A uniform copper wire carries a current i amperes and has p carriers per $m e t r e^{3}$ . The length of the wire is $l$ metre and its cross-section area is s $m e t r e^{2}$ . If the charge on a carrier is $q$ coulombs, the drift velocity in $m s^{- 1}$ is given by

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a

$\frac{i}{p s l q}$

b

$\frac{i}{l s q}$

c

$\frac{i}{p s q}$

d

$\frac{p s q}{i}$

answer is B.

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Detailed Solution

$V_{d} = \frac{I}{Ane}$

here $I = i, A = s, n = p, e = q$

$∴ V_{d} = \frac{i}{psq}$

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A uniform copper wire carries a current i amperes and has p carriers per metre3. The length of the wire is l metre and its cross-section area is s metre2. If the charge on a carrier is q coulombs, the drift velocity in ms–1 is given by