Current density from mobility¶

The current density can be calculated from the concentration and mobilities of holes and electrons and the electric field.

Notation:

\(e\) (e) is elementary_charge.

Links:

Wikipedia, last formula.

current_density¶: current_density of charge carriers.

Symbol:: j
Latex:: \(j\)
Dimension:: current/area

electrons_concentration¶: Concentration (number_density) of electrons.

Symbol:: n_e
Latex:: \(n_\text{e}\)
Dimension:: 1/volume

holes_concentration¶: Concentration (number_density) of holes.

Symbol:: n_h
Latex:: \(n_\text{h}\)
Dimension:: 1/volume

electrons_mobility¶: mobility of electrons.

Symbol:: mu_e
Latex:: \(\mu_\text{e}\)
Dimension:: area/(time*voltage)

holes_mobility¶: mobility of holes.

Symbol:: mu_h
Latex:: \(\mu_\text{h}\)
Dimension:: area/(time*voltage)

electric_field_strength¶: electric_field_strength.

Symbol:: E
Latex:: \(E\)
Dimension:: voltage/length

law¶

j = e * (-n_e * mu_e + n_h * mu_h) * E

Latex:: \[j = e \left(- n_\text{e} \mu_\text{e} + n_\text{h} \mu_\text{h}\right) E\]