Current Electricity Charging Discharging Of Capacitors Question 411
Question: The drift velocity of free electrons in a conductor is ?v? when a current ?i? is flowing in it. If both the radius and current are doubled, then drift velocity will be
[BHU 2002]
Options:
A) v
B) $ \frac{v}{2} $
C) $ \frac{v}{4} $
D) $ \frac{v}{8} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ v _{d}=\frac{i}{ne\pi r^{2}}\Rightarrow v _{d}\propto \frac{i}{r^{2}}\Rightarrow \frac{v}{v’}=\frac{i _{1}}{i _{2}}\times {{( \frac{r _{2}}{r _{1}} )}^{2}} $
$ \Rightarrow v’=\frac{v}{2} $ .
BETA
