Current Electricity Charging Discharging Of Capacitors Question 656

Question: Two wires each of radius of cross section r but of different materials are connected together end to end (i.e. in series). If the densities of charge carriers in the two wires are in the ratio 1:4, the drift velocity of electrons in the two wires will be in the ratio

Options:

A) 1 : 2

B) 2 : 1

C) 4 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Two wires carry the same current $ I=n _{1}eA,Vd _{1}=n _{2}eAVd _{2} $ So $ n _{1}Vd _{1}=n _{2}Vd _{2} $ or $ \frac{Vd _{1}}{Vd _{2}}=\frac{n _{1}}{n _{2}}=4\Rightarrow Vd _{1}:Vd _{2}=4:1 $