Question

PAGE NO
DATE

2
The density of Conduction electrons in a wire
is 10 ^22 m^-3. If
radius of wire is 0.6mm and
carrying a current of
2 A
What
will be The average
drift velocity?​

Answer 1

Given info : The density of conduction electrons in a wire is 10²² /m³. if radius of wire is 0.6mm and carrying a current of 2 A.

To find : what will be the average drift velocity ?

solution : drift velocity = i/neA

where i is current through conductor,

n is no of electrons per unit volume,

A is cross sectional area,

e is charge on each electron.

here e = 1.6 × 10^-19 C, i = 2A , n = 10²² /m³

A = πr² = π(0.6 × 10^-3)² = 3.14 × 0.36 × 10^-6 m²

now, drift velocity = 2/(10²² × 1.6 × 10^-19 × 3.14 × 0.36 × 10^-6)

= 2/(10^-3 × 1.6 × 3.14 × 0.36)

= 1.106 × 10³ m/s

= 1106 m/s

Therefore the average drift velocity would be 1106 m/s (approx).