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} $