# Drift Velocity | Relaxation Time | Concept

## Electric Current-

Before you go through this article, make sure that you have gone through the previous article on Basic of Electric Current.

We have learnt-

• When electric charges flow through a conductor, it constitutes an electric current.
• The amount of charge flowing through the area per unit time is a measure of electric current.

In this article, we will discuss mechanism of current flow in a conductor.

## Mechanism of Current Flow in a Conductor-

Metals have a large number of free electrons nearly 1028 per cubic meter.

#### In the absence of any electric field,

• These electrons are in a state of continuous random motion due to thermal energy.
• Their velocities are distributed randomly in all the directions. There is no preferred direction of motion.
• On an average, the number of electrons travelling in any direction will be equal to the number of electrons travelling in the opposite direction.

If u1, u2,…., un are the random velocities of n free electrons, then average velocity of all the electrons will be- Thus, there is no net flow of charge in any direction.

Also Read- Basics of Electric Field

#### In the presence of external electric field E,

• Each electron experiences a force of magnitude eE in the opposite direction of electric field.
• Each electron undergoes an acceleration given by- • As the electrons accelerate, they frequently collide with the positive metal ions or other electrons of the metal.
• Between two successive collisions, an electron gains a velocity component in the direction opposite to electric field in addition to its random velocity.
• However, the gain in velocity lasts for a short time and is lost in the next collision. After each collision, the electron starts afresh with a random thermal velocity.

If an electron having random thermal velocity u1 accelerates for time τ1, then it will attain a velocity- Similarly, the velocities of other electrons will be- The average velocity vd of all the n electrons will be- Here,

• The parameter Vd is called drift velocity of electrons.
• The parameter T = (T1 + T2 + …. + T3) / n = Average time between two successive collisions called as relaxation time

Now, let us define these terms-

## Relaxation Time-

Relaxation time of electrons is defined as-

 The average time interval that elapses between two successive collisions of an electron inside the conductor is called as relaxation time.

## Drift Velocity-

Drift velocity of electrons is defined as-

 The average uniform velocity gained by the free electrons inside the conductor on the application of an external electric field which is responsible for current through it is called as drift velocity.

The drift speed of electrons inside the conductor is given by- Here,

• e = Charge on electron = 1.6 x 10-19 C
• m = Mass of electron = 9.11 x 10-31 kg
• E = Electric field strength
• T = Relaxation time