Mobility of the charge carriers
One places oneself in a having material of the free carriers of load , to which one applies an electrostatic field permanent (to also note the absence of field ). Then let us apply the basic principle of dynamics in the Référentiel of the conducting supposed galiléen (see electromagnetic Force):
from where
Consequently speed diverges and thus the Vecteur density of current also because
consequently the intensity diverges, which is impossible.
It is necessary thus that the speed tightens towards a finished value .
Moreover is colinéaire with (in the abscence of ), one thus poses:
is known as the mobility , it depends on material, the charge carrier, the temperature, ,…
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