NCERT Class XII Chapter
Current Electricity
Questions With Solutions
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Question : 13
Total: 24
The number density of free electrons in a copper conductor estimated is 8.5 × 10 28 m – 3 . How long does an electron take to drift from one end of a wire 3.0 m long to its other end? The area of cross-section of the wire is 2.0 × 10 – 6 m 2 and it is carrying a current of 3.0 A.
Solution:
We can first calculate drift velocity of the electrons from the given data
I =A n e v d
3 = 2 ×10 − 6 × 8.5 × 10 28 × 1.6 × 10 − 19 v d
v d = 0.11 × 10 − 3 m s − 1
Now time taken by an electron to drift a length of 3 m with drift speed is
t =
= 27.27 × 10 3 s
I =
3 = 2 ×
Now time taken by an electron to drift a length of 3 m with drift speed is
t =
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