## Unlocking the Potential of Electrodynamics

## FAQs on Difference Between Drift Velocity and Mobility

1. What is drift velocity and mobility?

When exposed to an external electric field, the average speed of the conductor's internal electrons is known as drift velocity. On the other hand, Mobility of an electron is defined as the magnitude of drift velocity per unit electric field. These concepts are crucial for understanding electricity at higher levels.

2. Using a formula, determine the relationship between current density and drift velocity?

We are aware that the magnitude of the current density J is given as if the current I is spread uniformly across a conductor of cross-sectional area A:

$J=I/A$

$I = neAVd$, where n is the number of electrons, e is the electric charge, A is the cross-sectional area, and Vd is the drift velocity, is a known formula.

Thus, $J = neVd$

3. How can one get a relationship between mobility of free electrons and electric current in a conductor?

Since n is the number of electrons, e is nothing but the electric charge, A is the cross-sectional area, and Vd is the drift velocity, we know that in a metallic conductor, $I=neAV_{d}$.

$\mu = V_{d}/E$

$V_{d}= \mu E$

$\therefore I=neA\mu E$