Current Electricity Charging Discharging Of Capacitors Question 413

Question: A copper wire has a square cross-section, 2.0 mm on a side. It carries a current of 8 A and the density of free electrons is $ 8\times 10^{28},{{m}^{-3}} $ . The drift speed of electrons is equal to

[AMU (Med.) 2002]

Options:

A) 0.156 × $ {{10}^{-3}} $ m.s?1

B) 0.156 × $ {{10}^{-2}} $ m.s?1

C) 3.12 × $ {{10}^{-3}} $ m.s?1

D) 3.12 × $ {{10}^{-2}} $ m.s?1

Show Answer

Answer:

Correct Answer: A

Solution:

$ v _{d}=\frac{i}{nAe}= $

$ \frac{8}{8\times 10^{28}\times {{(2\times {{10}^{-3}})}^{2}}\times 1.6\times {{10}^{-19}}} $ = $ 0.156\times {{10}^{-3}}m/sec $ .