Write the mathematical relation between Mobility And Drift Velocity of charge carriers in a conductor.

Electron mobility is the drift velocity per unit strength of the electric field applied across the conductor. It is denoted by \(\mu\).

• The SI unit of electron mobility is meter²volt^-1second^-1 (m²V^-1s^-1).
• The mathematical relation between mobility and drift velocity of charge carriers is given by the formula:

\(\mu = {V_d \over E}\)

• where, V_d refers to the drift velocity by free electrons on applying an electric field.
• and E denotes an Electric field.

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Related Questions

1. Define mobility of electron.
2. Give two examples of drift velocity.
3. Explain the relation between current and drift velocity.
4. Define the drift velocity of electrons in a conductor?
5. What is the relation between drift velocity and electric field?
6. Define relaxation time of the free electrons drifting in a conductor? How is it related to the drift velocity of free electrons? Use this relation to deduce the expression for the electrical resistivity of the material.
7. Two conducting wires X and Y of the same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice that in Y, find the ratio of the drift velocity of electrons in the two wires.
8. It is known that the drift velocity of electrons is only a few mm/s for a current of a few amperes. How is it possible that a current is established almost instantaneously when a circuit is closed? For example, a bulb glows as soon as the connection is switched on. Explain.

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