Mobility and Conductivity in Semiconductors

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When an electric field [E] is applied to a semiconductor, the free electrons and holes are drifted in opposite direction of the electric field., due to this a current is produced called drift current Vd.

V∞ E

V = μ E

Where μ is called mobility.

Mobility is defined as the ratio of drift velocity to the applied electric field.

The total current in a semiconductor I = Ie + Ih

I = neμe   EA + peμEA

I = eEA  [ nμe  + pμh ]

Where,  μ – mobility of the free electrons (n)

μh   – mobility of the holes (p)

In the case of intrinsic semiconductor, Number of free electrons [n] in the conduction band is equal to the number of holes [p] in the valence band.

∴ n = p = n[intrinsic charge carrier concentration]

I = eEA  [ni μ+ ni μh ]

I = ni  eEA [ μ + μh ]

The electrical conductivity of the intrinisic semiconductor is due to drifting action of electrons and holes is given by,

σi = ni  e[ μ + μh ]

The electrical conductivity of the extrinsic semiconductors

σ= ne

and                                                     σp = nh

Read More Topics
Conduction in Semiconductors
Carrier concentration in metals
Energy distribution of electrons in metals
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