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Chapter 4 - Problems
Sechon 4.1: The two-stage cmos
pp. Amb
{4
Vicon (wax) < Vop-WVepl Vou |-|Vove |
S425 -077-0-3-0°3
= +l-2v
Viemtmin) % —V¥ss + Vows +Vea -[Vep |
BABS + 3040-7 - 0-79
2 -La2y
“Visa #Vove S Vo S Yodo -1Vovel
~2-840-3 © Vo S 428-03
-412v S Vos +22
=
Veal = 28v/pm | [Vp [= ZO¥[ pam , L=0-Gum
Hemee Va = tov oud |Vpl= lov
For all dewees Voy = &-25v
A =A Ag = Gm (fer|ltow) Grr2(toellton)
[vee ltonb =) va ve Te 2 =P vay
ee | []
Varve LoL
Fa Ag: &= 89 _, B84v _ 22-202
L 0-4 mA
To aiid Systemahe output de, of ect
(w/e . ec wid
(eiye ILS
Swe OS, 26,Q7 Corey T ond Ga orlay h/
Sahih reapivemiat by malig ly have (4/8)/2
See ope e TSE BASE © a(n)
Pe = TUN = Oo: 4mA fosy = Ib mate
bt tteivay = Bima
A= (HM 44-4)(3-29092-2) = 504TH
Fe unity gain Oph bie
Ap=_A = Sout =|
l+mp lt50476
Thee (1+ AB) = 3047
Thim of = €o [+aA6y
= 222k /5047 & 4-4
=o
AS A Az = Gm (rll Mou) Gm2 (Tee llo7)
= 20, 1 Va th La
Vo, 2H, Vo 2%.
a
"|e = TS0
Vov
where Va = 1OV/ pm Bl ew = 1Ov
Hwee Vou = Va /So = Go = o-2y
From (wftje_ 2fwlid
(oly Cais
witty = 2 60/o-S) de jus) =(29)0
a “C687 0S) ones
Toe = [60] (OLN (vos-Va)” ,
Gwew Cyy = 22SpA = 4 ba(bo/o-s)[Vov]
=> Vov = 19/60 = 0-25¥
Gwen Vr = 6-784
=> Yas Vr tVoy = Os +O]s = Iv
Since GE ,84,0@ have same COWLY
=> Ti=To=Tss Ty elgtg=hLe
FerQQy2 Ly 25 Ge (421 Svovy = 2 SoA
=> Vey, = | O° 28v
= Ves, = Yr eVev,= FOV
For tg Qs. Ty +b 180(10/0-5)(vov =I
> Vora = O2Sy
> vVesz = 9-1S+078 =lv
For dle 1 Fy = 2! 80( Meas )Oviie 12h
=> Vove = 9-3Sv
> Ves = o2S 407s hv
Yo sav = vokw amd [valet
Em
Gm = EE erat [Mov { YAP
Voy
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KT Nev Ves gm xe
OND DH 0) WW) (AND (ke)
Br SP NES O25 os; OF ‘Bo
63 Bo Ro Or jy 0d Go
Oy ive Ite OU bv #9 Bo
-@¢ 66 BS ots bo LB 40
oe, We 225 o8s bi 1.285 4
7 & wo be ots bo hg 40
: Gy 62 0 ons bo vy bo.
p Al = Gay (rea|lteg) = 04 x 405 46 wy
aa = Ome (reellvu7) © UBS x70 S BSD
A= AlAg = 36 4289 2 475 vi
Vemiwaxy S Vow =l€ pp] - Vex | - Ivars |
- SS - OFS ~ 025 - ors
‘a S Oy
Vicmtwin) =“ Vss + Vova + Ven — (Vep |
cbS eo2s = = fay
“Yss + Vee SV 0 S 4 Vp -fVor9)
“LS +035 = Vou +65 -o-2s
—LISY S Vo +4-25v
: Gm = OS mA Gmz = OG mAh Cz =p
— tea =¥oy s WERK oe = req = UT KAR
bhp = Gmr . abate? _ 4S SmHe
2s€s Zp io
me Ff © .46ena
Ore pm 2 Bo?: tom! fp =
fpa
fet = fp, Tau /0°
= 95.54.0176 216-94 mite
& = Ga # O3xio? é 293 pF
taht Ty te Byxtot
a. @ 25 os Ob og So"
A = Ay Ag = Gm (x IIveg) Gm (reellto7 )
= OS IN X Qox SOT
= 99 = Gogdsa
Poumant pole fo, = fe/IA|
Ths fo, is appros Bdteades below dt
Le at 16-84 KAD prendiiny A fon te
2018 fdse slope down to fy.
@) 4p Gm 2 dodubl Ft, halve Ce
= eens = bt OF
fom" fe. tan! 331 _ jq.ge
tp oe
The gro must be meed to Meduee
te [4-1 —10 = 94°
ep =qqv — = OG
4 "
= fis O- [ft = O1Ge 33-7
= 5-GMHe
“Saet ->je-t Js I
tec [e-a] I Gd ae hate
Honce [e-em] =... tol@ar®
Zw Soxt+
R= 0614205 = 247K
Sai
Toio-stageoup wilh Co = IpF
f= (0omHZ | Pm= 75°
For Pmayge- ton! fe = 15?
Dt ftton ise = 28 = 73mne
fpr = Gms 2 | = STSmMA2
2eG. “le kgfet®
>Re ort _:
2a (273x108) ~ 2Ga
> Gm = bo =2- mca enl
To wove gare fo twifinithy R= = 4e
se=t _ Beeps
Ce ee
SR= 2tAVey, = 20 10% xo = tab xict
v/s
Zoo xto™
Sele are e8 hope
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quis
Rail-ty-Boa| OP Amp
All Vey = o2y Bll Vp 2 0-Sy¥
Vpp =Vsq = 1 65y
Viem (max) = Ven —[Vove | + Vr
= bho —6-Be OS = +148
Vacnn (ovina = =Veg4Vovy) tVove +¥t
er l6S5 tbReoZteaeT
= 0-750
fa) For NMOS stage
-O7S¥ S View S + F9SV
Ib) En Pins sto, CSametreal)
= (-95v S View S + OTs
f-Q Fer both ache
-o-]8v 2 Views +678 v
Gly Ov¥era))
H145" Ss Viem S + 143v
All same K(MAY 0D = Teer
All same Co = VA/t = lov/foya = ]OOKR
r=&* WAT Ye)”
Vpg =Vo: Vows) = 2Vov
Ry (luoking mite Rap and assumny
Ty Currant Secce is iden) co-%)
= ranges 2 Byte
ed = 2xtov oy |wAly
y orn
Thin Re = pent = [x oS «10%
ze tot MN
Asli
A=8ed6 fp=loMne CLF leap
ten F All same [Voy], b= dum
Wal= Lev
Ge TUE ome fy = She
ov “18 G.
A= m1 [Son row (calle [were
Candee @)¢ Ty = 4 Kn [WA], [ev]
= 4 doo [Wi], Ever
BiBrzasWe tig art samc
i au To) = Vp
Voy Tr
Coniidiy @3 614) Ta = kp (wic}a[voy"
1) =4 Fe lwals iver]
=~ (MA, = 25 [eal],
Fea = Guy Owed Yoay > Voy
Cmoider Mg Big! Ty = bkp [WA Thou)
at, 5 BE (ble [low
=> (hi, = S0KAD,
ogc ® 2 Api eel Togy= Vaile
Eommde Qo? ty = 4 km [6A {ior
2A, = 4200 (WA }y vo]
= [ef], = afer),
Fury = Ly Om Tay = Yor le
Thos A= ms [Spy Yon (461 to Sl [Spe rte
4 “he [Smi¥or)( tes) Weenie}
je" = & emt Snr Por TI
=? Sue) = TIS
Now Fave) = 2E Vp
Vor T
=} Voy = i {emo = t(tel f= 0-2!
Honee = =O:
“pa = aie. = 0-628 milly
—> Ve, = tee/4., TBF
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Yon = 25
=> T= Qe Vor
Vo 7b
ee Ty) = GuiVor = 0.679 wiv eo ze
Z xz
j = 62 SpA
x SR = Aah. Voy = La loxioo x02 = nSy,
Bi Ge Gs Be Aa Oy :
L = tka (WA) (vv d*
62-9 = 4 awe [Weve
bo [eA = IS-7
t pt ek ew 2
Fo Sey: Ce FETA iw]
i 6h 4 EY ua Toop
ip ~» [wid], = 2-S(WA1, = 39-05
Be Gia Oy |
ES aa
Swi, = W3-s
ci
=
G
=
a
[w/e], * 2 [WA], = 3huy
Wee Dele], am
Width fv Gir Ose O50, = 1S- 2am
fv Qs Qe = 34-25 0m
fw he Qu = TES ame
fw An = Bl. 4 nm
ce Simply the vert cufcuit relative to
Yop ss aud neverse all aveors on FETs
1 Maael fv Ce shea:
ss 3 bs
Bs ‘of | ay a
|
Gy
at Sz: Ts Gna) -Vill+ sep es) o
Es
=v 8 i
Ty Fung (145 GpEs\/Rs
= |
(Suey R¢) + SCphs [25
BdBdewn wht
Sfp = (Oma +My)
= fps = (qua ties da Gus
dw Cp Ane
@Eep,
fiso f, & pm
ING
PM = 180 —@etal = qo?— fac! +
2
For PM =TS°? ft = tom iS? = 027
fa
> dele.
fa te
=> Ce = O27 CL
Oty
_——————
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Ne dy Es Lat Ne, se (a.
*
ie bracken ig = Ma Mae
> Mie Md) ee:
+ HF
= er
i aren
i Z
ay
4
i 2
i Gee p tet kn] May F Mage = Veae * Nowy ra
i
Seda Vs ore equay
sta | Be fe &
wens) | goaiea| 099 | coy | usy,
Sit jose |zene| see fing |2es
Sao loo |1s0s | 309 [ar | ise
cin_| ze Jae [9.09 | oper] owe
— [3]
Teg w2eCo%8) = oumtenn
Teas etele ists OEMS AA
Sau = arly ete oa
| cos Sas iat Ay the current Leral
&
Mok ARS SSS MN
Sr ie ae
cou = is HERS
Ban = Sp By = taal
Tage 38 ates
= dee
fir Tepe aca mA Ye = 0 628N
Rem We eG fae
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WY teense,
Be Mer Mee Tes beg
= TKO ate
Fram eye 9.85.
ALE Giese
it Thos
Me = SR
Bret R var te
Ni
AR — Yes
aN;
ey Mee GeV) ree akan |
eR aes
aGey
Gi Ay completely Sheed
= of e-
Fam Gh Mex
a
=O Nps =
Gurrent io the colhectir ah Fe
Pemmaias wNthasged ar 3G uA
Ws eye ey = Bh
6
Tey = cu Teg = 3A
2 SLs 88 Sane onal
at
‘es = Ze = Bad = 202 qernyenad
Sm
2 dem
oe Peanil
fae Mie = Weer fella = tesee cite
(en oe acti me anatic
“i R= SE = ate
iby te ==
Rew eet te
ar? (pa ee
Bente = AR —
el
Mops = B94
Prot
= Ar Vice
CBr Meta) DR,
Sen chaely
Yay rtag 7 BAe
er
fi Sep Mign
fo
Pp tire, they + atte
ister “hha Curredt Gam la given,
Ogpremetaly, by
(
oy sahara Re ie the tere!
= Ae Neate
rR
“2 eq.
Tee Hebe Cap the}
Singe Wa BUTpaT impedance ld Gna fbecred,
a gee te Ths ceca Sy
Ww Ra smactes
je &
te
Tex
= tay
wae
A Ue rane = ania
Mets thet the output Bp Aha
eraratin fram Bee
Peglecring this, since Roy is larmely ataterrsined
Because ct bye face
Ba,
7 dain inereaten by
(Cd Current gam Femara ah nity
te ate
and gan ie &
Cee [res tree
pagan
=>
ofpectaa,
cally tery barge
4 7 ey
iter
Benatar for 0 fannige aegenarstad
tein (Ea
ain
=
Thee
Salle lls |
=e al er (eee eBfha eeaes |
eeiee RES wR,
z Bf ;
Reng = ek)
= aapHtt
Syacpabiis
“ey
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[al Re = tensile = Rolle |
im See
fay = Ase
Rig) we ti (ee eee ys He eM
= Ry = ser eas reat Mt = 2 oui
NR iy
Feige Re
Yun =
= Pan
lug =
fan vy
os, <= S69 6 gine ney
ao
fia] Kora aT iL
kage @EREK
Fring FRAY Fagg = WOT Baal
tes Sorat fe oell
Row ce) Solel)
G04 Li eal te zeey)
=7e7
> &\lzae = asa
dn GS BHA oe Ry = oun
Re = Soft
———
Cilreene BE 2 SSAA ay) Regs Sos
Pe Be ah —
Fema 2 sso — y oe il
Re ve
¥
Na 3 = Nee Meat 7 Veeee aces
GEE, Fa Tema curren T ony Iona,
be Taaa A This Cranges Goya
“8 = saan
dons
a! oy 8 = 6 8aly
Sao # at
Because Yay VP Tike, Bee Femains
aathy Unchanged sF a KOL
Fos = Carrsr se Wl tauga e THRD
7 Ap = Seay = = ey
a
py Agasra bane curradta ah ie
awn = ny whi a tagg
Bel L
tee sy wattage 2 Ry
Tes ea Sie taf met”
os
a wh eon
coergay eaten oh
panera ae oo We)
a Me) Steen Cae)
Wal <8
To owthye a seed Sobitiee ler Eto
on eS
o
a 2% Mw 22368
therating
[a] sects aageenrcrrap ors
erage = Sen
a eA = Macrae een SB
Stay = =. Joel
Zea = U9 reed = 28 THA
ana Veen, Sg aN
Years ERy a Ts zeane
A Simple atoubling ap Ry
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oh
*- ea < Sse =
Bam Se Re ACG)
Mes
uM va
AW Of phone mbigt act uray
Ge tae A
pati cbusae
ie
Sp
= Set thy
Gath ole adda 8" of phage weer
tan!
AS nf cloneatstengl prhiine Aorgin
we tan’
==
sc fam ath
Recatting tre “Norns ising!
Pagative feedtaer jure gar
Reet op
Fem tpt ne > fy kp
Leap gain Apa Asam oh = nerd
= 4
jee Hh,
te, = =. = seaeky
Beck
Senger 1
Sahat Leni war aut
= bles BF
456
laa:
DF RCAC”
tality Single pale ces pce
Arte fy ma tp~ Sat
= Ra :
Releoteyy — ssTeO
dieminast ple fp =
A= \ooa
: =S My
a
-— an aap des
te fe
=a ~ 22
Ce
Gum Ee ee Roe ee
Sts 46M. Stet!
~~ Sm AS
= zevfue 2
=
Meme) = lew
Jar sine wove
BE cetapli Tusk Maan bit mig
mite ae choge
Ae) ad ‘
. ae hes wey, = a8,
Tee
aE =
ISS 2 eR,
sk
Seta)
tye
wee
am Gey ag aet
= ASS oy
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