Mobility of the charge carriers

One places oneself in a having material of the free carriers of load $q$ , to which one applies an electrostatic field $\ vec {E}$ permanent (to also note the absence of field $\ vec {B}$ ). Then let us apply the basic principle of dynamics in the Référentiel of the conducting supposed galiléen (see electromagnetic Force):

$m \ frac {D \ vec {v}} {dt} =q \ vec {E}$

from where $\ vec {v} = \ frac {Q \ vec {E}} {m} T + \ vec {v} _0$

Consequently speed diverges and thus the Vecteur density of current also because $\ vec {J} =qn< \ vec {v} >$

consequently the intensity diverges, which is impossible.

It is necessary thus that the speed tightens towards a finished value .

Moreover $\ vec {v}$ is colinéaire with $\ vec {E}$ (in the abscence of $\ vec {B}$ ), one thus poses:

$\ vec {v} = \ driven \ vec {E}$

$\ mu$ is known as the mobility , it depends on material, the charge carrier, the temperature, $||\ vec {E}||$ ,…

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Mobility of the charge carriers

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