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Q.

A current i is flowing through the wire of diameter d having drift velocity of electrons v_d in it. What will be new drift velocity when diameter of wire is made d/4?

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a

$4 v_{d}$

b

$\frac{v_{d}}{4}$

c

$\frac{v_{d}}{16}$

d

$16 v_{d}$

answer is C.

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Detailed Solution

$∵ Current, I = n A e v_{d}$

or $v_{d} \propto \frac{1}{A}$

If diameter of wire is d/ 4, then area will be A /16, so new drift velocity = 16 v_d,

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