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Width of Depletion Region<br />
Charge Density Electric Field Potential<br />
E(x) = 1 ε s<br />
∫<br />
ρ(x)dx<br />
φ<br />
−∫<br />
= E(<br />
x dx<br />
j<br />
)<br />
Depletion width is an important device parameter.<br />
It can be shown that:<br />
φ<br />
j<br />
built-in<br />
potential<br />
kT ⎛ N<br />
ln<br />
⎜<br />
⎝<br />
N<br />
A<br />
=<br />
2<br />
q ni<br />
D<br />
⎞<br />
⎟<br />
⎠<br />
w d0 = (x n + x p ) =<br />
2ε s<br />
q<br />
⎛ 1<br />
⎜ + 1<br />
⎝ N A<br />
N D<br />
⎞<br />
⎟ φ j<br />
⎠<br />
ELE2110A © 2008<br />
Lecture 02 - 11
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