Drift velocity Assignment Help

Assignment Help: >> Current Electricity >> Drift velocity

Drift velocity is the average uniform velocity acquired by free electrons inside a metal by the application of an electric field which is responsible for current through it. Drift speed is very low it is of the order of 10-4 m/s as compared to thermal speed of electrons at room temperature.

If suppose for a conductor

n = Number of electron per unit volume of the conductor

A = Area of cross-section

V = Potential difference across the conductor

E = Electric field inside the conductor

1330_drift velocity.png

i = Current, J = Current density, ρ = Specific resistance, σ = conductivity  then current relates with drift velocity as i = neAvd we can also write

604_drift velocity1.png

 

1. The direction of drift velocity for electron in a metal is opposite to that of applied electric field (i.e. current density ).

       v∝ E i.e., greater the electric field, bigger will be the drift speed.

2. When a steady current flows through a conductor of non-uniform cross-section drift velocity varies inversely with area of cross-section (vd ∝ 1/A)

1268_drift velocity2.png

3. If diameter (d) of a conductor is doubled, then drift speed of electrons under it will not change.

716_drift velocity3.png

Relaxation time (t)

The time interval between two successive collisions of electrons with the positive ions in the metallic lattice is defined as relaxation time τ = λ/vrms. With rise in temperature v increases consequently t decreases.

Mobility: Drift velocity per unit electric field is called mobility of electron i.e. .μ = vd/E

It's unit is m2/volt-sec.

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