Reference Guide

Equation Reference 5-55
Equations:
I D G 0 V D S
2
3
- - -
2
ε
s i
ε
0
⋅
⋅
q
N
D a
2
⋅
⋅
- - - - - - - - - - - - - - - - - - - - - - - - - -
⋅






–



⋅
=
V b i
k T
⋅
q
- - - - - - - - - - -
L
N
N
D
n i
- - - - - - - - -




⋅
=
V b i V G S
–
V D S +
(
)
3
2
- - -
V b i V G S
–
(
)
3
2
- - -
–






V D s a t
q
N
D a
2
⋅
⋅
2
ε
s i
ε
0
⋅
⋅
- - - - - - - - - - - - - - - - - - - - - - - - - -
V b i V G S
–
(
)
–
=
x d m a x
2
ε
s i
ε
0
⋅
⋅
q
N
D
⋅
- - - - - - - - - - - - - - - - - - - - - - - - - -
V b i V G S
–
V D S +
(
)
⋅
=
g m G 0 1
2
ε
s i
ε
0
⋅
⋅
q
N
D a
2
⋅
⋅
- - - - - - - - - - - - - - - - - - - - - - - - - -
V b i V G S
–
(
)
⋅
–






⋅
=
V t V b i
q
N
D a
2
⋅
⋅
2
ε
s i
ε
0
⋅
⋅
- - - - - - - - - - - - - - - - - - - - - - - - - -
–
=
G 0 q
N
D
µ
n
a W
⋅
L
- - - - - - - - - - - -




⋅
⋅
⋅
=
Example:
Given: ND=1E16_1/cm^3, W=6_ µ , a=1_ µ , L=2_ µ , µ n= 1248_cm^2/ (V ∗ s), VGS= -4_V, VDS=4_V,
T=26.85°C.
Solution: Vbi=0.3493_V, xdmax=1.0479_ µ , G0=5.9986E–4_S, ID=0.2268_mA, VDsat=3.2537_V,
Vt= -7.2537_V, gm=0.1462_mA/V.