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Question
The number density offree electrons in a copper conductor estimated in Example 3.1 is 8.5× 1028 m−3. How long does anelectron take to drift from one end of a wire 3.0 m long to its otherend? The area of cross-section of the wire is 2.0 × 10−6m2 and itis carrying a current of 3.0 A.
The number density offree electrons in a copper conductor estimated in Example 3.1 is 8.5× 1028 m−3. How long does anelectron take to drift from one end of a wire 3.0 m long to its otherend? The area of cross-section of the wire is 2.0 × 10−6m2 and itis carrying a current of 3.0 A.
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Solution
Number density of freeelectrons in a copper conductor, n = 8.5 × 1028m−3 Length of the copper wire, l = 3.0 m
Area of cross-sectionof the wire, A = 2.0 × 10−6 m2
Current carried by thewire, I = 3.0 A, which is given by the relation,
I = nAeVd
Where,
e = Electric charge =1.6 × 10−19 C
Vd =Drift velocity 
Therefore, the timetaken by an electron to drift from one end of the wire to the otheris 2.7 × 104 s.
Number density of freeelectrons in a copper conductor, n = 8.5 × 1028m−3 Length of the copper wire, l = 3.0 m
Area of cross-sectionof the wire, A = 2.0 × 10−6 m2
Current carried by thewire, I = 3.0 A, which is given by the relation,
I = nAeVd
Where,
e = Electric charge =1.6 × 10−19 C
Vd =Drift velocity
Therefore, the timetaken by an electron to drift from one end of the wire to the otheris 2.7 × 104 s.
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