What is the drift velocity of electons, if the current flowing through a copper wire of 1 mm diameter is 1.1 A ? Assume that each atom of copper contributes on electron (Given, density of Cu= 9 g cm-3 and atomic weight of Cu = 63)

Question

What is the drift velocity of electons, if the current flowing through a copper wire of 1 mm diameter is 1.1 A ? Assume that each atom of copper contributes on electron (Given, density of Cu= 9 g cm-3 and atomic weight of Cu = 63) (A) 0.3 mm s-1 (B) 0.5 mm s-1 (C) 0.1 mm s-1 (D) 0.2 mm s-1

Tardigrade Admin · Accepted Answer

i=n e A vd n=( text Avogadros number / text Volume of 63 gof copper ) (6.02 × 1023/(63 × 10-3)9 × 103)=(6.02 × 1023/7) cm 3 n=(6.02 × 1029/7) m 3 i=n e A vd or vd=(i/n e A) =(1.1 × 7/6.02 × 1029 × 1.6 × 10-19 × π ×(0.5 × 10-3)2) 0.1 × 10-3 ms -1 =0.1 mm s -1

Q. What is the drift velocity of electons, if the current flowing through a copper wire of $1 mm$ diameter is $1.1 A$ ? Assume that each atom of copper contributes on electron
(Given, density of $C u = 9 g c m^{- 3}$ and atomic weight of $C u = 63$ )

$0.3 mm s^{- 1}$

$0.5 mm s^{- 1}$

$0.1 mm s^{- 1}$

$0.2 mm s^{- 1}$

Q. What is the drift velocity of electons, if the current flowing through a copper wire of 1mm diameter is 1.1A ? Assume that each atom of copper contributes on electron (Given, density of Cu=9gcm−3 and atomic weight of Cu=63)

0.3mms−1

0.5mms−1

0.1mms−1

0.2mms−1

i=neAvd​ n= Volume of 63 gof copper Avogadros number ​ 9×10363×10−3​6.02×1023​=76.02×1023​cm3 n=76.02×1029​m3 i=neAvd​ or vd​=neAi​ =6.02×1029×1.6×10−19×π×(0.5×10−3)21.1×7​ 0.1×10−3ms−1 =0.1mms−1

Q. What is the drift velocity of electons, if the current flowing through a copper wire of $1 mm$ diameter is $1.1 A$ ? Assume that each atom of copper contributes on electron
(Given, density of $C u = 9 g c m^{- 3}$ and atomic weight of $C u = 63$ )

$0.3 mm s^{- 1}$

$0.5 mm s^{- 1}$

$0.1 mm s^{- 1}$

$0.2 mm s^{- 1}$