What is relaxation time $(\tau )$? And what is drift velocity $(v_d)$?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $1$. Relaxation Time $(\tau )$: It is defined as the average time interval between two successive collisions of an electron with the positive ions in a conductor. It is typically of the order of $10^{-14} \ s$.
$2$. Drift Velocity $(v_d)$: It is defined as the average velocity acquired by the free electrons in a conductor in the opposite direction of the externally applied electric field. It is given by the formula $v_d = -\frac{eE\tau}{m}$,where $e$ is the charge of an electron,$E$ is the electric field,$\tau$ is the relaxation time,and $m$ is the mass of the electron.

Explore More

Similar Questions

$A$ charged particle is moving in an electric field of $3 \times 10^{-10} \text{ Vm}^{-1}$ with mobility $2.5 \times 10^6 \text{ m}^2 \text{V}^{-1} \text{s}^{-1}$. Its drift velocity is:

The potential difference between the ends of a straight conductor of length $20 \ cm$ is $16 \ V$. If the drift speed of the electrons is $2.4 \times 10^{-4} \ ms^{-1}$,the electron mobility in $m^2 \ V^{-1} \ s^{-1}$ is

The magnitude of the drift velocity per unit electric field is known as . . . . . . .

$A$ conductor of length $100 \, cm$ and area of cross-section $1 \, mm^2$ carries a current of $5 \, A$. If the resistivity of the material of the conductor is $3.0 \times 10^{-8} \, \Omega \cdot m$, then the electric field across the conductor is (in $ \, V/m$)

$A$ current of $5\, A$ passes through a copper conductor (resistivity $= 1.7 \times 10^{-8}\, \Omega \, m$) of radius of cross-section $5\, mm$. Find the mobility of the charges if their drift velocity is $1.1 \times 10^{-3}\, m/s$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo