Current Electricity Charging Discharging Of Capacitors Question 428

Question: A wire of diameter 0.02 metre contains 1028 free electrons per cubic metre. For an electrical current of 100 A, the drift velocity of the free electrons in the wire is nearly

[UPSEAT 2004]

Options:

A) $ 1\times 10^{19}m/s $

B) $ 5\times 10^{10}m/s $

C) $ 2\times 10^{4}m/s $

D) $ 8\times 10^{3}m/s $

Show Answer

Answer:

Correct Answer: C

Solution:

By using $ v _{d}=\frac{i}{neA}=\frac{100}{10^{28}\times 1.6\times {{10}^{-19}}\times \frac{\pi }{4}\times {{(0.02)}^{2}}} $

$ =2\times {{10}^{-4}},m/\sec $