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Question: A current I flows through a uniform wire of diameter d, when the mean drift velocity is v<sub>d</sub...

A current I flows through a uniform wire of diameter d, when the mean drift velocity is vd. The same current will flow through a wire of diameter d/2 made of the same material if the mean drift velocity of the electrons is –

A

v/4

B

v/2

C

4v

D

2v

Answer

4v

Explanation

Solution

Use i = neAvd

vd = ineA\frac { \mathrm { i } } { \mathrm { neA } } = ineπr2\frac { \mathrm { i } } { \mathrm { ne } \pi \mathrm { r } ^ { 2 } }