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in Physics by (64.8k points)

Find the velocity of charge leading to 1 A current which flows in a copper conductor of cross-section 1 cmand length 10 km. Free electron density of copper = 8.5.x 1028 per m3. How long will it take the electric charge to travel from one end of the conductor to the other.

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i = neAv or v = i/neA

∴ v = 1/(8.5 x 1028) x 1.6 x 1019 x (1 x 10-4) = 7.35 x 10-7m/s = 0.735μ

Time taken by the charge 10 travel conductor length of 10 km is

t = distance/velocity = (10 x 103)/(7.35 x 10-7) = 1.36 x 1010

Now, I year = 365 x 24 x 3600 = 31,536.000s

t = 1.36 x 1010/31,536.000 = 431 year

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