Stress Analysis (14) - HP 48gII Advanced User's Reference Manual

Equations:
k T
- - - - - - - - - - - L N
V b i =
2 s i
- - - - - - - - - - - - - - - - - - - - - - - - - -
x d m a x =
q N D
G 0 = q N D
⎛ ⎛
2
⎜ ⎜ - - -
I D = G 0 V D S –
3
⎝ ⎝
⎛
⎜
V b i V G S – + V D S
⎝
2
q N D a
- - - - - - - - - - - - - - - - - - - - - - - - - -
V D s a t = – V b i V G S
2 s i 0
⎛
2
⎜ - - - - - - - - - - - - - - - - -- - - - - - - - -
g m = G 0 1 –
⎝
q N D a
Example:
Given: ND=1E16_1/cm^3, W=6_ , a=1_ , L=2_ , n= 1248_cm^2/ (V s), VGS= -4_V, VDS=4_V,
T=26.85 C.
Solution: Vbi=0.3493_V, xdmax=1.0479_ , G0=5.9986E–4_S, ID=0.2268_mA, VDsat=3.2537_V,
Vt= -7.2537_V, gm=0.1462_mA/V.

Stress Analysis (14)

Variable
1
5-54 Equation Reference
N D
⎛ ⎞
- - - - - - - - -
⎝ ⎠
q n i
0
V b i V G S – + V DS
a W
⎛ ⎞
- - - - - - - - - - - -
n
⎝ ⎠
L
⎞
2 s i 0
- - - - - - - - - - - - - - - - - - - - - - - - - -
2
⎠
q N D a
3 3
- - - - - -
⎞
2 2
– V b i V G S –
⎠
V t = Vbi
–
⎞
s i 0
V b i V G S –
2
⎠
Description
Elongation
Normal strain
Shear strain
Angle of twist
Normal stress
Maximum principal normal stress
2
q ND a
------------------------- -
–
2 si 0