3.13 The number density of free electrons in a copper conductor estimated in Example 3.1 is 8.5\times 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\times 10^{-6} m^2and it is carrying a current of 3.0 A. 

Answers (1)

We know,

I = neAv_d

V_d:Drift Velocity = Length of wire(l) / time taken to cover

I = neA \frac{l}{t} 

 by substituting the given values

\implies t = 2.7 x 10^4 s

Therefore, the time required by an electron to drift from one end of a wire to its other end is  2.7\times 10^4 s.

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