Current Electricity Charging Discharging Of Capacitors Question 377
Question: In a wire of circular cross-section with radius r, free electrons travel with a drift velocity V when a current I flows through the wire. What is the current in another wire of half the radius and of the same material when the drift velocity is 2V
[MP PET 1997]
Options:
A) 2I
B) I
C) $ I/2 $
D) $ I/4 $
Show Answer
Answer:
Correct Answer: C
Solution:
From $ v _{d}=\frac{i}{neA}\Rightarrow i\propto v _{d}A\Rightarrow i\propto v _{d}r^{2} $