中文版拉扎维cmos模拟答案第三章.doc

第三章
3.3(a)
阳=*扁=2皿=0,
\ JL/ J I U.D
r. = —= -------- ----- = 100,
"I XI D 0.1x10-3
Rq % ||硫=10幻I2S 半Q,
g/ni =72xl.34225xl0-4xl00xl0-3 =5.1812X W3,
A，= s m]• Rout = —8.6353, (b) Mi工作在线性区的边缘时，吮产么-跖=崂s-"
；二％-九二3-%+0.7 = 3.7-%
D, R[)2X10—3 2X10—3
W_
:3J~V GS=1X1.34225X10-4X100(K5-0.7)2 2x03 2 ' 仔、 )
.M=1.137V
・•・此时，I m =1x1.34225x10—4x100(1.137 —0.7)2
=1.28151x10—3A 2
= V2xl.34225xl0-4xl00xl.28151xl0'3 =5.8653X10'3,
r. = ------------- --------- =7.8X103Q,
0.1x1.28151x10-3
A，=—知](妇 || 厘)=—5.8653X10—3(7.8X103 || 2xl03) = 9.33 74
V Dsat = 3 — 2x 1.2815 x 10一3 = 0.4369V (c)M】进入线性区50mV 时，
V/. = V’M -50x10-3 =0.4369 — 50x10—3 =O.3869K
V -V 3-0 3869 °
I D = & v’s = 3 U F = 1.3065 x 10-3,
R D2X103
【D = LCox
y 2 "V TH)V DS T
0.30692
1.3065x 10-3 = 1.34225x 10-4x 100 (V GS-0.7)0.3869-
=>V^.S. = 1.145V,
dV GS
= ^^ = &C°x
:.g ini = 1.34225x 10-4 x 1 OOx0.3869 = 5.1942x 10-3,
R -1 , - W
= .〃Cox —
I L人
1
1 2835X103Q
=> R on
1.34225 x 1 (T4 x 100 (1.145 - 0.7 - 0.3869)'〜'
=-5.1942X10-3(1.2835X103||2X103)=-4
3.15(a)设Vm=0时M1工作在饱和区。

Vin逐渐增大，V GS减小，M］逐渐进入截止区，此后Vg与Vm成线
性
4 = % -万% 阳-(* f)) = Wf)+RM D K F + K D
R F +R D
)+g
R i + R D
3.2
3
%。

%
—-o
f_K
"Cox
2 = 0.2729V,
1
V
=1.38107V,
'2x0.5x10-3
J.34225xl0^x20y
= 0.77073 4-
崂52 =V
/H2 +
(w} _ 50 (w} __m
^TJ I ~05\TJ 2~O5, D ，
=1D2 = 0.5mA, R D
= 1AQ,
^DS,sat\ = V GSI —V TH ~ '2x0.50x10-3 、
J.34225X 10-4X 100>
V x = 0.2729 + 50x10-3
= 0.3229V,
V TH2 = V THQ + Y (J2S+*8 -两7)二。

・7 + 0.45(j0.9 +0.3229 - V09)=
0.77073V
2农
dCox —
I L )))
V.=匕曾 + *. = 1.38017 + 0.3229 = l.7V b Gd Z X
(b)
J2X 1.34225X 10-4X 100X 0.5X 10-3 = 3.6636xl0-3A/V,
知2 =42x1.34225x1()-4x20x0.5x10-3 = 1.6384x1()-3 A /V,
n 45
g 而 2= / ' 1.6384x10—3 =3.3336x107,
2J0.9 +0.3229
r, = r 2 = T — = --------- ------ r = 200, 小 〃 M 0.1X 0.5X 10-3
Rg = R D II {[1 + (膈 + 引妃)S]妇 + s} = 998.7947Q, G = g 〃北‘|[必(&〃2+&心)+ 1] =3.575XI ()-3A /H , “ 妇知(g 屈+幻沥2)+妇+S
&=-0凡〃=-3.57 (c,d)节点X 处，
S
、F*g*m=506.2Q
(a)
A，,x =F,Am,x =-1.8545,
若V、=*,血gw，% =一50*测:
50xl()T
~ -1.8545
=26.96*10一
)2(1+WG ，
△匕"=26.96x10-3 x(-3.57) = -96.25xl0-\
=3-1x0.5-96.25x10—3 =2.4U,
=3V,△九之=3-(3-lx0.5) = 2.5V,
v =v -V . =AV . - AV =0 6V out.sy^infi out.max out.m\n out 2 out\
AV
.・.叫2=—
=-0.14V,
、-3.57
△*2 =—1.8545x(—0.14) = 0.2597,
*5 =V X +△*‘，= 0.3229 + 0.2597 = 0.5826V, A «llldA A A
L
V x .p = V x nrlx 一 Vx min = 0.5826 - 0.2729 = 0.3 IV
X
A ,max X ,min
若取岭皿血=^-V rH2 =1.7-0.77073 = 0.92927V,则
A%=*yn —2.5V = -1.57K
-1 57 .•.△K = x(-1.8545) = -0.81556V, x -3.57
・・.V 「= K +AV y =0.3229-0.81556<0
很明显，此时Mi 早已进入线性区。

而M?处于线性区边缘。

故Mi 最先进入 线性区。

3.24(a)
— ,R D =2kil,R s =20Q^
r. = —-— = ------- ------ = 20 奴 V s = I n Rr y = 0. IV,
MI D 0.1x0.5x10—3
' s D D
=0.7 + O.45(Vo.94-O.l-7(19)= 0.723V,
跖=LC QX Ms -岭Ml + 漏DS) =
(1 + 也s) f D = 3.8249X 10-3,
0.45
2(0.14-0.9)^
=0.225,
吮,=% T 两)=2 V, G = 2 - 0.1 = 1
=
~^n C OX
G m =——r― ----------------- = 1.9644x ] 0一3,
+[1 + (1+门)幻汨佗化
R.ut = [1 + (&〃1 + g,m)饥]Rs + Q = 20・2
X103, 命m = = 1819.8274,
A，=-G〃R*®=—3・57
(b)线性区边缘,
V DD一RJ D =*心
,•V DD -RJ D =^GS\ + - 岭〃1' Vf)D —(Rs + R/)) I/) = K；51
JL,, 匕x r
l D =~^n C OX ~ (K；S1 ~V TH\ \ =~^n C OX ~
=S x 1.34225 X1 O'4 X * [3 — (2000 + 200) /〃了V DD -(R S+R D)L)
-
妇=1.5844x1()—3 入(舍去)，农=1.17355x10-3A.
匕〃=V DD_R D【D+V TH】=3-2000 xl.17355x10” +0.7 = 1.35297,
g inl = J2X1.34255X10'4X50X1.17355X10_3 = 5.1628xW\
G m =—由—=2.6443x10—3,
i+g,〃Rs
人,=一团凡=—5.2887
3.27
(a)
K,- 4 = IK 妇=102= 0.5mA 农-吮=0.5,
I (9 1 (W\7
『Y=O，M=/〃2=S&% -(匕〃-九-(匕-气J,
I，"
0.5xl0"3=-xl.34225xl0-4
2
W 、=82.77, I<752 =0.54-1 = 1.5,
0.5xl0_3=-xl.34225xl0-4
2
(1.5-0.7)2, v
v= 11.64
=0.7 + 0.45(JO.9 +
1.5 -7^9)
=0.97022V,
(W} \ 71 8278,—=11.64,
9
(b)
丫 = 0.45广乂 = 2.5V,匕〃 -岭疽1V,妇=农=°・5 x 10一3 A, 焰一V GSI = °・5K Vout =昨一1 = 1.5V, V GS2 = 0.5 + (2.5 -1.5) = 1 .5「,
,_ , _ 1 厂W\ /V U \2_ 1 厂W} e u \2
’QI __ "^mCox (了/ — *77/1 ) - & 四〃Cox ~\K；52 ~^TH2 )，
c 1 J W \ 1 J W \0
0.5x10-3=—X1.34225XKT4— (1-0.97)" =-xl.34225xl0~4— (1-0.7), 2 \ L )t2
\ L
M2 处于饱和区边缘时，V(na = ^-V/H2 =1.5-0.7 = 0.8V,
V TH] = 0.7 + 0.45 (j0.9 + 0.8 -而)=0.8598V, 1 0
0.5x10—3 = - x 1.34225 x 1 O'4 x 8278(1/.,,-0.8-0.8598)\
.・.%〃 = 1.6897。