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Q.

The drift velocity of electrons for a conductor connected in an electrical circuit is $V_{d}$ .The conductor in now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be

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a

$V_{d}$

b

$\frac{V_{d}}{2}$

c

$\frac{V_{d}}{4}$

d

$2 V_{d}$

answer is A.

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Detailed Solution

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The drift velocity is given by

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

$= \frac{V / R}{neA} (∵ I = \frac{V}{r})$

$= \frac{vA}{neA \times ρ l} (∵ R = \frac{ρ l}{A})$

$= \frac{v}{neρ l}$

Therefore, drift velocity of electrons is independent of area .

Thus, new drift velocity will also be V_d

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The drift velocity of electrons for a conductor connected in an electrical circuit is Vd .The conductor in now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be