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Question

Question: There is a current of 1.344 amp in a copper wire whose area of cross-section normal to the length of...

There is a current of 1.344 amp in a copper wire whose area of cross-section normal to the length of the wire is 1 mm2m m ^ { 2 } . If the number of free electrons per cm3c m ^ { 3 } is 8.4×10228.4 \times 10 ^ { 22 } , then the drift velocity would be

A

1.0

B

1.0

C

0.1

D

0.01

Answer

0.1

Explanation

Solution

vd=inAe=1.344106×1.6×1019×8.4×1022v _ { d } = \frac { i } { n A e } = \frac { 1.344 } { 10 ^ { - 6 } \times 1.6 \times 10 ^ { - 19 } \times 8.4 \times 10 ^ { 22 } }

=1.34410×1.6×8.4=0.01 cm/s=0.1 mm/s= \frac { 1.344 } { 10 \times 1.6 \times 8.4 } = 0.01 \mathrm {~cm} / \mathrm { s } = 0.1 \mathrm {~mm} / \mathrm { s }