Current Electricity Charging Discharging Of Capacitors Question 319

Question: When the current $ i $ is flowing through a conductor, the drift velocity is $ v $ . If $ 2i $ current is flowed through the same metal but having double the area of cross-section, then the drift velocity will be

Options:

A) $ v/4 $

B) $ v/2 $

C) $ v $

D) $ 4v $

Show Answer

Answer:

Correct Answer: C

Solution:

$ v _{d}=\frac{J}{ne} $
$ \Rightarrow $ $ v _{d}\propto J $ (current density) $ J _{1}=\frac{i}{A} $ and $ J _{2}=\frac{2i}{2A}=\frac{i}{A}=J _{1} $ ; \ $ {{(v _{d})} _{1}}={{(v _{d})} _{2}}=v $