Question

A 2 ampere current flows in a uniform conductor which has 10^24 free electrons per metre. What is their
average drift velocity?

Answer 1

$\checkmark$ Given:

A 2 ampere current flows in a uniform conductor which has 10²⁴ free electrons per metre.

$\checkmark$ To Find:

The average drift velocity

$\checkmark$ Solution:

We know that,

$\boxed{\rm I=nAeV_{d}}$

Here,

• I = Current
• n = No. of electrons
• A = Area of Cross-section
• e = electric charge
• $\rm V_{d}$ = Drift velocity

Given that,

A 2 ampere current flows in a uniform conductor which has 10²⁴ free electrons per metre.

Hence,

• I = 2 A
• n = 1 x 10²⁴
• e = 1.6 x 10⁻²⁴
• A = 1

According to the Question,

We are asked to find Drift velocity (v)

Hence,

Substituting the values,

We get,

$\implies \rm 2=1 \times 10^{24} \times 1.6 \times 10^{-24} \times 1 \times v$

$\rm \implies v=\dfrac{2}{1.6} \ m/s$

$\rm \implies v=1.25 \ m/s$

$\boxed{\boxed{\rm Drift \ velocity = 1.25 \ m/s}}$

Hence,

$\checkmark$ Drift Velocity (v) = 1.25 m/s