Current Electricity Charging Discharging Of Capacitors Question 693

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 $ and velocity in copper is

Options:

A) $ 36{}^\circ C $

B) $ 83{}^\circ C $

C) $ 63{}^\circ C $

D) $ 33{}^\circ C $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ v _{d}=\frac{1}{neA} $ here, $ I=5.4A,n=8.4\times 10^{28}, $

$ \text{per }{{\text{m}}^{\text{3}}} $

$ \text{A=1}{{\text{0}}^{-6}}m^{2},e=1.6\times {{10}^{-19}}C $
$ \

Therefore v _{d}=\frac{5.4}{8\times 10^{28}\times 1.6\times {{10}^{-19}}\times {{10}^{-6}}}=0.4mm/s $