Current Electricity Charging Discharging Of Capacitors Question 405

Question: At room temperature, copper has free electron density of $ 8.4\times 10^{28} $ per $ m^{3} $ . The copper conductor has a cross-section of $ 10^{6}m^{2} $ and carries a current of 5.4 A. The electron drift velocity in copper is

[UPSEAT 2002]

Options:

A) 400 m/s

B) 0.4 m/s

C) 0.4 m/s

D) 72 m/s

Show Answer

Answer:

Correct Answer: C

Solution:

$ V _{d}=\frac{i}{nAe}=\frac{5.4}{8.4\times 10^{28}\times {{10}^{-6}}\times 1.6\times {{10}^{-19}}} $ = $ 0.4\times {{10}^{-3}}m/sec=0.4mm/sec $ .