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Q.

A current of 10 A exists in a wire of cross-sectional area of 5mm2 with a drift velocity of 2×103ms1. The number of free electrons in each cubic meter of the wire is____

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a

625×1025

b

2×106

c

1×1023

d

2×1025

answer is A.

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Detailed Solution

The relation between current, number of electrons per unit volume, area of cross section and drift velocity is 

i=ne  A   Vd

n=ieAVd=101.6×1019×5(103)2×2×103

=0.625×1028=625×1025

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A current of 10 A exists in a wire of cross-sectional area of 5 mm2 with a drift velocity of 2×10−3ms−1. The number of free electrons in each cubic meter of the wire is____