What is the relation between drift velocity v of charge carriers in a conductor and the current i flowing through it?

Drift velocity is defined as the average velocity acquired by the free electrons in a conductor under the influence of an electric field applied across the conductor. It is denoted by vd. Current, l = neA. vd.

What is the relation between mobility of charge carries in a conductor with relaxation time?

Mobility is defined at the velocity of the electron per unit electric field. It is the ease with which the electrons can travel in a conductor. So, the mobility of the electrons is directly proportional to the relaxation time of the electron.

What is the relation between drift velocity and conductivity?

Relation between Drift Velocity, Current Density and Resistivity. The current density of a conductor is defined as the current flowing per unit area, where the area is being normal to the current. Current density J = I / A, I is the current and A is the area. The conductivity of the material is given by σ = n e2 ԏ / m.

What is relaxation time physics?

The relaxation time is a measure of the time it takes for one object in the system (the “test star”) to be significantly perturbed by other objects in the system (the “field stars”). It is most commonly defined as the time for the test star’s velocity to change by of order itself.

What is drift velocity Class 12 formula?

Let’s derive the drift velocity formula (v = eEt/m), in terms of relaxation time. Drift velocity is the average velocity with which, the electrons drift in the opposite direction of the field. We start with the acceleration of the electrons, a = F/m = eE/m.

What is drift velocity define relaxation time and mobility?

DRIFT VELOCITY. DRIFT VELOCITY IS DEFINED AS THE AVERAGE VELOCITY WITH WHICH FREE ELECTRONS ARE DRIFTED UNDER THE INFLUENCE OF AN ELECTRIC FIELD. 3). MOBILITY. MOBILITY OF A CHARGE CARRIER IS DEFINED AS THE MAGNITUDE OF THE DRIFT VELOCITY PER UNIT ELECTRIC FIELD.

What is relaxation time and mobility?

The mobility of a charge carrier is defined as the drift velocity of the charge carrier per unit electric field. Thus, mobility , μ=Evd​​ If q be the charge of carrier and τ be the relaxation time, then mobility μ=mqτ​ where m be the mass of the charge carrier.

What is mobility formula?

Mobility μ is defined as the magnitude of drift velocity per unit electric field. μ=E∣vd∣. Its SI unit is m2/Vs.

How is charge related to velocity?

Thus, specific charge is inversely proportional to the velocity of the particle. So, if the velocity of a relativistic charged particle increases, it’s specific charge decreases.

What is relaxation time in drift velocity?

According to drift velocity expression, the relaxation time is the time interval between successive collisions of an electron on increasing temperature, the electrons move faster and more collisions occur quickly.

What is the relationship between drift velocity and relaxation time?

The drift velocity is just the average velocity of the charge carriers in the conductor. So, as you now see, the drift velocity is proportional to the relaxation time. As the relaxation time increases the drift velocity increases, because the charge carriers have more time to accelerate between collisions.

What is the drift velocity of a conductor?

The drift velocity is defined as the average velocity with which free electrons in a conductor get drifted under the influence of an external electric field applied across the conductor. The relation between drift velocity of free electrons and the current flowing through the conductor is given by 

What is relaxation time of free electrons drifting in a conductor?

Relaxation time of free electrons drifting in a conductor is the average time elapsed between two successive collisions.

How does the resistivity of a conductor depend on temperature?

Resistivity of the material of a conductor depends upon the relaxation time,i.e, temperature and the number density of electrons. This is because constantan and manganin show very weak dependence of resistivity on temperature. Was this answer helpful?