Difution drift currect question

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The equation J_e=qμnE-qD_e(dn/dx) describes the drift and diffusion current of electrons in a semiconductor. In this equation, J_e represents the electron current density, q is the charge of an electron, μ is the drift coefficient, n is the electron density, E is the electric field, D_e is the diffusion coefficient of electrons, and dn/dx is the spatial derivative of electron density. The term dn/dx indicates how electron density varies with position, leading to diffusion from high to low concentration areas. Additionally, the formula for hole current differs by having a positive sign due to the positive charge of holes compared to the negative charge of electrons. Understanding these components is crucial for analyzing semiconductor behavior.
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J_e=q\mu \bar{n}E-qD_e\frac{d\bar{n}}{dx}
i can't understand this equation
what each member of this equation

i only know that \mu is the drift coefficient
E is the field

what the rest of the memebers represent
?
 
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nhrock3 said:
J_e=q\mu \bar{n}E-qD_e\frac{d\bar{n}}{dx}
i can't understand this equation
what each member of this equation

i only know that \mu is the drift coefficient
E is the field

what the rest of the memebers represent
?

I googled diffusion drift current, and got lots of good hits. Here's one that should answer your question:

http://ecee.colorado.edu/~bart/book/book/chapter2/ch2_10.htm

.
 
n is the electron density what is the meening of
dn/dx
?

in this page it doesn't say what is D_e
?

the is also a formula for hole current
why it has plus in the middle (in the electron current we have minus in the meedle)
??
 
nhrock3 said:
n is the electron density what is the meening of
dn/dx
?

dn/dx would be the derivative of electron density with respect to the coordinate x. In other words, if you're simply dealing with a semiconductor in which the elctron density only changes in x (i.e. y, and z components are constant), there will be a diffusion current where electrons will diffuse from a higher concentration area to a lower concentration area. This is mathematically depicted by 'dn/dx'.

nhrock3 said:
in this page it doesn't say what is D_e
?

D_e (or D_n) is the diffusion coefficient of electrons. It depends on the mobility of the electrons, and temperature of the sample.

nhrock3 said:
the is also a formula for hole current
why it has plus in the middle (in the electron current we have minus in the meedle)
??

The hole current has a plus because holes are positively charged as opposed to electrons which are negatively charged
 
thanks :)
 
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