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Chapter 6 - Problems
Assunat oO \Bjim CMOS Process aad reher te
Table 6.1
My Soe = BET ARE
Assuming operciion tn eduwalcoa racde :
sols Y mrt, ai Xl a 9
cous mr Ey hey, PeBeT reds e108
Tp =ed.5
Aigo assumes OE «to
NgysO4Y me Ty = Bat.6 yeh
Thane fo re
oist yg Gy 6O-4Y me 4B AG 7, ¢ D0%GHE
Mow (hue consider the tant Come of expres
for Re oF A BIT umd we assume Oe NPR
Eransister in & Staudard high-voltage proais:
Creker to Talo. 6.2)
Te SK KE SHS BK
3 tle Ls
neh = ag Mr = :
Ty H3F WM mr Vyp = o0rs \n, rae a0S 724
Tye Bot.6 pk m2 Vag 3 0-G21Y
Thare fore =
Roam, coe oy natant”
TR the aren of the Guitter— base fumchion is
Chamged py Footer oF 10 then Ty cg chougel
Byte scout factor TF ge ce dap constant,
hom Tie vibe Chemsed bby The saat factor:
Feet OPW Tse A, Baty a Tad
Agslom, => Tegatotc,
Th TL tS Repr conttimt ) then Wag changes:
VBby Wabash
Iyseh, sre TaHeTs ee
BELG NESE lo => Vou, -Maens nioco.oseY
or SB eat
= [te = fzxiwe .|{ Ze
%y ne Karo ¥ Kn
Vas Ye + You
Le |. ©
oy yy sioafa
f ‘s we ok
Beye, ers mae
Fae NMOS:
Ke DeTME soy = 2a? Be
Sir aia) Cie rere
For Pos:
Ko DIak mer AL) Paige BW S
eae a, 93,005" aes
[e225
. 2 2
Spa etyp => FASE 2 LAG OD, oy
we abe hawt J. tap 4
Gee 2B ary ete @
Wu Ova
ue fat
o@ me 2 fn, Hho = 2.87
(Hee
Bm ztomAy, a Yoy Jp ay
220 pots Bmley , 10x02 2 | mA
m Mev og 2
Iyeir, wv oy We 2D
aE Se KAM
We128 a
L
sa 3 ‘
a 2elao™ 22!
38 hot
for aunpn trarbistor: ¢ 2 Le oT J j,002520.25
ee =
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=» Te 2 Sh
Vr BORs v
for an WMOS rhe the gee gt ot &. gata,
= ety are doe Max
Mew
for tua npn Kransishor : 9
we wl ewe 5 Sees
Bi DOS mA
Pres dwadias laage 6S
Coselay we havt Fe =~
Pg er,
Baas
a
For beth trowsistors, for
3
re __te = 158K
V 2ya00ploye tte
for comedies we hove caraliL =
re A o Moe 9:925 _.0.25Kn, ot (Pm
nyt Tem
Pease
dun 2 Axtooxia”
as
Yen Ya Yb ase
Ip 84
ae. GK E EROSIONS,
Bane, zp We Best om
Aine? oy VDF yie*RO-S
We 6.3 fly
=o. mAh,
a5ee5L
6.4)
. =
% ee Ty= loo ha Lee. ve » Tysleowa rVagee2¥
i O. 5M Oo. Shine ou eps Qos To. a hetsoni. | ay
Woes THOd Nos Pres] Mes Pon) NMOS P Nas sak as Pua fees a]
to Tp or ee
OS 934/062 037/093 043/088 OMI Bs “aurea a
(ayy? xh 3
Ay Ga Vogt Wee det, xe.
arya tae ah: - MnGon oy FF tn, O-2 7
‘ G2 ha te aI MG, I2nlonwe = 44 WAG artes
ie a
mM 6.8 612
7
Yyxo. 25 BIT, Beioo ven eo ny
MOSFET: 6G. 0 aoofA/a 4 Matto
Device
a Maley
Masher
©
Ree tye Ys Fee @xT
Meo G Am | We 6m Voyao-2Y
2 a
sb Gey, 24 x38ty Sno 2stSSHn i
Tyroissm Ak
Gm = 2H 2 ST MAL,
Now ay |
BERG G, = AWE Wh,
Gs Fx6s03.59.6 + 6 n0.37 = 2-54 FF
Bd = Gy win 0. 39x06 5 2i2z FF
oe i de i #16. 9GH
Arse Gay Angee sae 222) x1g'F —____ =
TF ust ues the approwimalion forauila :
Foo Lo Ha Vey eae, of
Te OO gee Gas Gee Sle 7
A 2 ne HSOuO 0.2
Zann 0.3F 5
TH approximaiven formula aver eshimalia
= 23.46He
Cont.
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|
Fifoe @2 FMM > Wrtoy,
opee s/ Sec SMA Far ia eisai
gy ya oey
pe Bve $5 2 ato RSL
BIg oe
il foe MAL oy bn Typ moda Bits 1-65 hom
to VA
v
Vowatin = Vug eM, #025 arg m0. 2540.620-8F
R=Vpp-Yes . LF-0.85 . 9.560
Ip on Ja
\ e 2Lt
| Ip< wh =! pws
till | De be MyGen MEG Me) mr Rohe Me
epWe Anl-58xloo = 19.84
| ic 2BSe (0.85 0.6)% pees
Ml
I 6.23
th \ ‘S0 °
a
| vopet By
y Wy tse.6N »ApG, sear)
Hi)! Trees FOKK Spa rlit®
Yost Yes —Me is
Vomdin'# Yon wine = Mes MEAT Ful
6-1-2 Vee p06 ay V, feng # ~® o8y
ary = B-0 Bo IY
Re Ve 1 siash
Lp 0.0% ————
2 BLT
To LAG, es—Y) Barwa b
Mood“)
= to
Lo tee(-0.Bea-6y
[ean]
il We 2, Bo
=
i Wyetw, Leb, Wy-0-3% | Tyee = 2omr
| TeTace Mela. aon 4 = seer
| OM
i
ti enin = Vy se. 3¥
| eesy Aeerdhing too Ee Wd crt Mes
l t ag take oH, ve)
i ove %es “ME => Veg 0 3 re Fo0 By
(yp @aMet of oy cory
ax =
il Or we Could Simply Say Vase Vasa.
=
=% Gul
Stace Vg; Mag, 2 2-8 ms
axe MA LBS = Roe
ook
Foxe BMe La 5s an Baek
Refer to Fig.P6.a5
we te
Yes, = Vesa => EO ( cs ete he itis
bo | (CH) CY,
Tp =f, ‘ bh
Yeon **esn pat, = SU aoton 2 CHa
Gea Nes Buy Cy Epy Coy
Tow = Tyee fled, Chl 2
De = "Ree OH, OKs
6.26
Refer te By. Pete
Vosa 4 “oss Yep? YoIrnn = Vora ME
(3- IS) a Yygs 6-018) ar yyy = 289 = Nagy
Far Q,:
Fps HOM A wh x Bou wh Sh aon 90.6"
=> ee Ie Mar
Wye SVs Sop
LT, st00fh 25 fae, =>
Ty = tgep erg wo ttn
of, ay Wo Ae oo a low Be.
Sy aE oy ha ens, wltdten
FOr OS. Vise = Mee —
(19-08) 2 Vege 08 arly = 0 ry
= SOA fy PeOR EE eo Tio6)* =e = igh
am For lowest %y
Now He catcstede A;
a
Vgcg 2-0-8 or Vy, = 15-28 20-7
Re "82 aap
Re@F 235K
Rome
Re 35k
ae Mak. NO dpe . tpn lOnOF 2 JboKSL-
a sf = nas
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6.27
IF the bramsister with w=l0 rs diedeconnechd,
thes: Doe oe.
q febnas BooKa
Ty 2 fo0on42 eoMA
io
TR Ht trowsiftor with we ao is disdecnnahed
then © Tha loon 1a 2 Gopa
Be
Ly xtoe ne .2o0 um
ao
Th the kraapistor util wate (s disde_canmeched,
Aku! Tye eon 1 a 25 be
Lyrtoo x 20. Gosia
patos «BE. . Sol
Se for Cases hack oie One troaasis tor 1% diode
connected , 4 difFerent output carroll are
possible (clepending aa Ae ton Fag dak n we
Chen Se) «
TF 2 transistors ave diode - connected . thus
they Act as am equevadet transistor here
walt. v's the soar oF the widths of each
Ponasis tor:
TF Wepp 2 forte then Tyctoox $2 = 13300
TF Wepp = Zo vite then fF, soon sp. = 167A
iF “ore = HO (0 tha seen = #oHe&
So 3 different antpat eurrenta are passible
cepeading
disde— Connected. Now we ealudale Veg:
On Which twe transStors ane
2
Wor Lx PA 38 (yy 0.9) a7 Vee s See weg3o.
Bll have the Some Wee for any geen
tonkiga rode en.
2
For Mep abo => Pardee reo dt
Be ere 2 0.4 Z
er Wee Se a5 page 4 r Bow Se uy, 0.7)
5
= Vse=0.43V
[628]
“due “gs =,
9 tye dey.
2 *
“RO Ms
a a ey
Ime
Ww, = wy
% th Gee a Ry. a
Aete that Since 25% howe tha Samae Y, .
oud tHerehore the sone y . Ing , Le, We
or
Ser
6.24
fio
VAG y, x
O) Seep ety "meer vy te Hite Cy
Treg IMM Ya 2 0.025 Bu 1H 0 SI
sey
Treg 2 tome any co orstn we 0.048
Therefore 4
(OMA Slege Lloms =) OSS Vane 0.48"
Aince is wary Repke &S nagt fe Cnc) Pear Ck
he leee toya 6 Ty S10 mA
b Ly Thee (29. 8.21)
1B
Py
for bags CS | A remains Constudt at 100,
Tree = lomA a, f,=—2 =2i2mA
+
Treg eOImA on. a0.0 48 mA
Teepe ima => Det
faer = lena =>
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6.30 6.33
IgseTgem 4 Lele Teepe ie TyedA eso
r «Fy ie «eX e
Fagen tae 2 eae Og, a = cee tree Lt lei oy
te Q, —— fa; f Pe Teen
Vag, < Vee => eee vie cw, be Te ie 0.689"
\ vy be Le ov by Jo. a8 BSS risa RA) oot a" ey
i Ts, Tee “ =:
pide Team sexe hy, semen ey
| & ts Saree Sten ¥ 3 KL
| ' a Tecp <> Re HAL = 4.2
i spect . i)
i by eerily for E, in eB f= Mae a odour
a ba ‘ *
fill | ma os (epee
sy Boy Vom, Occurs when y is onthe edie of
dyer ce solacdhia nor Veg © 0-3" Therefore Vi
| ¥
il Ths resell is the some as Fq.6 22. ee ee
tpn OMe op PACS e504, AL a atimA
For ta a Hy Fav hs st ok
t or wge/4» a! mi, with Facte 7% thes o
i “ E, To keepthe Ale = ody 219.447 i
RL valve: dewps to Veeee” = o beep a aloo oats eee 2 19.4f Chews ia L,
tatrodeced error withen Sf 40. 95m 2
il am
ai Bmin 280 > OFS. 1 ey med. 2) 6.34
es eee
Fo
i et ey =e
lt 6.31 i
psiee oem wa y eerie ie ahs
—5 21.36 mA =i, = ==
= R, Foye hye booth
: . Yoo to a Ege Toy” é
The tromsher rato is Mey at 882" = 3.72Y¥ ; “s aoe¥
A 62s Py
the Stott ee Mge F-08601 34K Egat gel ye Lyats
Taner = ne ie Ting od al86 = 3. 22mA ame es aay
Fick . +5 +e
Wy P220=) Bit 20.4
th dace '* 55 Z hivema
v
Sy
\ 6.32 Bev
it Ree (RD ‘ jaan |e
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pole ot | _____- BS MME
2rtxdo sip e2x6'*
Sina woth poles One relakively close tegetier,
we ube tha rost-semch-squarts Formauia »
\ ay Mie
———
eels.
'30n2 * Seay
© Hamohachured design
Poles ek 1 = OBHHE Oud at
arwloly t5eig'
— sea eet
Dein ROW IO HIZ wee
bye — =0.56HH!
i tage* oar
Refer to Solukon of Exeaple 66:
vi Re, ,
A Yes ~ tin ee asin
a Rint R dm Be ete ei
Nasco ay
8yee R, Piatt = 2 ole 429A
Bye e Ryg Gre lets V2 Balo? e F23-H5
Bay aR ed RR where ReRinl|Re aa
Py 492.3 124 2e1ee IZ 5 232M
Jer Ga ae 2.3Anio = 232005
“
wye tl __i. = ayn
Tsega 2.34 2320)«0
fy =e6KHe
6.46
Yow gf Wy) x PP oa
S55 Nig Reg, ee :
Seats if rs .
O=, G2 Ie R yay Oe - day :
[+ 9m Re 2 ee
= rf "lly ts Rye
“on it tee
aR
fo talautale Rep
Vg 2 - Re,
Rete My
Nye
GeRag. igs) ~
Reda Yas . Ree My s = Y= Re
Ned Rs
Ar Oo: = a a Ya cRete
Substitute vas + Sct we te ie Row
# TegnRs RR
tx ftr Joh, aie!
t Bm Rs 7a) Re
R.
gas = R RRe fg Re
Rit ee (R15 Reig)
C) Reo
%_ .-425" 2 _20y,
Useg e4txe Ar
Ags = = fookit
Rqda SK, 100K + Yu Seto = 2105K
Sg a
=e tanec
GsPyst Geka 6 amen ri 205.0
SAHGB.T Kradls
|Gabal x Bard andth = lox 453.92 ot Meds
Rsetoo™ ;
Yo AES
wos DE? 8 143
V3ig i¢4xod hr
Rasa loot ot _ 7S
letged
Rave Spt00y AnFnl09 _ 1599.6 en
tent
We = ! ad
Me Se =
[6% HFnio 410 41533-6410 ts
Coit.
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JGarn} y Somdusidth = M4.3x 623%. PaIMmdy,
| Rg. 150M
ll Ben a whi
i ag ie tnode
Ros = (OHO . Sole
t+ nos
= 0%,
I Ra = Seloo y HeEnee 2 Nos KM
te Anos
ty me Bb. RK red,
| ar = is
kl 16 RFO.i atop 1 HOT ALO
Sqor-]s Borcloidth 102865 7%. 566 Mads
Summary table:
Ay sien WS te in BW
\ RN Gente) ee) Coins)
ri eo -20 As35 4.04
fl leo 143 623.0 a4
i 256 -\o 865.7 8.66
The GuiaBoudwidth is approximating Constnat.
6.48
TF we assume thot enpaciter? are perfect
open cieewhs Lon midband then)
A - Me. = Rie i 650. 56 10) 240.8
Meg” Randy Tne esata POG,
5,
BS" Ge Pas > Gs (Riel Roy) = 2 x cisa"esoR)
tys-2u3. 35 as
Gas Saha, Refer to Exaupie 6.6
Rada RR gg RR
ary (20-1 pO gy Selon
Rie SoM 6 Sok (QI TRA 1214
Rga = 6.24
°
ya Gu hyo o-F 62". Spoons
tT «Rigs to*x 3? saoms
_1____.
ay =
Ps 4 at
Fy, WF DKHe
ts BT
Jo} Bod 243,75 4a
6.47
I Ke Me =e fin Gy, @) s- SZ (a.duteo’)
nO Meg Rint Roig Fer
| fee 25 Vip Nau peter te Bxanpk 6.6.
Bye Rin I Big © st org
Ths = Ryu Ga = 2210 9 0.83 wo 166.705
rr Bhd = RAR +g RR
i Re RG Rig = OFS NA
Be Rog 2 15-42
yy Guu = 25.42-v10 ralyie 2 25920
i kre
| E hf oe ERS
foo Fyg-0-F3 0 140.83,03
Rito
Tse lye (166-F 42572) x1o7
ee
T= Sens
2 lotred/, Ny
f
Get 2PE20) Go 2")
G2 dans
Wy = Ll. = 50 Mrad/s
on
e
yet eae
o, + 60s
Wy = 166 YS
ty = ! aah
Reels Fy hs"
fy eRiMHe
AR Qe
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by. 64h wy a
a) Wy= aie ar 38.46 Mrad/yearh 2 b.124He
b) we 4, 6.38)
G+bhr
“pr Ua ube
w, 2 2n 2AM aus
n= * =
ded oe
Rte tm (Set km tim |
fe BF-4EHHe
6) Hy, = 7 © SF MG Hrads,
tevin
30° 200 faa
Pye é2Hne
d) wy o © Meds => a3, 2
ee
10.00 4890 +200 KAR
e) wy, ”
) MT FIM Kady mo fy NSF RAE
fy we ia -
Joy aay FAI Kradfy mah, a WE RHE
(oye 22h
pha ss
Peek Pre
Wye 3B 3Gradf o> f= S26 nwo
igo
ie AS
= foook2 22H
6.52
Be. 6. Ma Be Eh ap Ce OlaCi—(Hie0))
Sad.
ie
me Ge Jao.) pe
Gwody(t i) rs
tee
C= 90.9 %
using Htler's Theorem)
Yeas ast Vers Ub A
: &, tee
Sate 85 TAS
= bh 2 2 9.99 Mendig af ot SF
SRiy ” Teele Pe yale
caluateli vnity greta Frepusmey :
[Gun] =f =
Be _ A _ —ldeo (s=jw)
th Gap ee ee
ae to Bag> Vp taole Ss
ige0 2 | my wt 10 Grad/s =
v te (oo tni8 ew)*
Ee SF Gwe
Aswe Can cee Fetxa
Vring Miller's Theortss jin cach case the Capac’ taota,
Qk the inpak is (I-A) amd the Sapactmencemt
Abs oukpet js <U- 4). Tha: 4]
@) As 1000 % and colPF
Cpateoink and GaloolpF
b) Ae 10 wy aud Calope
Spa lloph and GollpF
ey hea, aand Culoak “7
C= aepe and Ce 2opF
dy Asly Aud CrtopF
Cepek ond Cc opr
®) CRIS and ColopF
f, =-RopF ond GadeF
Ta te) the megalive Capacttante am the faput “
Canoe une to conte the etfeckol He
Swpuk conpeuer bout ofthe anptifrer.
Rig = Bo Re oe &
cHitler’s theorem)
© hate
fo os
Ree aie
TF Rey wR than,
Rye ee ae T= Yeo Mig 1
Roe rR
Cont
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Ysa = dm, ys (ollred aed Vas, = Vy
ya Bem EY
a= Gal et CoN) = Jang (Jon BB
4
2a Yodan
Refer te Figs 6a.
Note Ehot 2,50, are nok moltlied :
Tp, st00 MA
®) Fo.s Sor =weMA Be = hos a
(Note that Vsqs Vex) fos CM), he
er lyy = (eon 12 oe 25MA => I 2 25MA
HO REE
b) By neFerning te Fig 618d, you nota that
in Sequoent GL beth Gand Q, are ia salu
tation cind the trim ter Characteristic 1s
quite (ingar. Thaowtp at voltage in thes
Segment is fasited befuten Uy aad tba!
Goordinates of pomb A =
z
= Tos = 28 wet
‘ous = Erp), | Eesonig a” Povsp23?”
Gp = 33-0 32—-2.48%
bar tbo -“oys
AE point Be thee Veg - Yea
Now we Find the tromster equakion For ‘the.
Natar Settion - (Refer to Exo—ple 6.8)
tye toa => (Note +hat Wyre Yous)
KL) (8 (te ya Kp) yo (Ie OO
WOE) GAT Cay al Wy (le Se
loox ra ari 224)
ee ' So.
(e-0 B) wm 0.82 (1-066 Be) fur Pe
ie 0.8) Pa snow SDb ant wont
bee. one
(Gp - 0-8) *Lolict_oe3e) @
Nea tbe Solve Fer ba 2 Veg iB
“art P2083 5 sejize => bg =03F
There fere the extreme values oF U5 for
whack Game Q, are in sabe rabeen a3 x4208
C) From (6) we cone Fiad Vig cmd Vog 2
“i, oe Yon #Y, = 083+ oF = .13V
Tf we Solve G) for wan 2ABN then:
¥
Veg 0-8)? 0:51 (10:0 3x29 B) mr Mpg # VINEE
pen Suk ins 6s _ 2A8 0.33
larg Signa! volkage gacn. oe LA 0.38
3) Ve Vor . 3:3 21.654
2 2
Oitherentiuating both siherof OD: G5)
atw- 9.8) 2 01x (0.03) ath
BUF
nr 2 _ _ 606.1(0, 0.8)
Be.
for U 21.68") From @ wekave:
2
<08) 20-003 0165) wy = 1a
BU
eu,
wl9S. By
Uw t23 v
©) PRoue = tor tox
Fo) a Vas 2 100 2j)M
4p) 2-1 joan ee
ae ic = Soo ksh ss
on aa, I = [ante ae. 0d od". 0.632
Bo = Jou Mon lon) e-fio.6 Wy,
ha
ajWhen © aud Gare open , since gates donot
draw any current therefore ae current g
through Rand Vpelks Ts,= Tbe
é 2. o
AEM), (Vg tS) 98 aL CE) (US
2
(Meet)? 2 OR%E) ee ga! 2l-My => Wee
Toye dg tle lott 5 - -0.3)*2o. 5m A
Tyietp2 =oeek
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b) aU 809,95) %
b
Ygs=¥0 Mi oys Bus
Vos de Ree ae hs
fey slate R
toc 3D BeOS sy map
Veg Me Lo-05
-Axivloos 2-199 9 Ap
v; 2h, 2%. 1- 23m R
Ye ag Beas Me Ae bes
Be ag e array
ve
or A jn hel yioee 2 39.24
ne i+ Bztece %
in Met -R4, ‘
Rigo Mit UR, ow De coy Bg Yay)
Ob + 2g, ayes CR ete Be Ye,
i ee mee I+ die
Rig e 1000 +NO/2 . 24.92 25K
Ve Ieeto
o-3de BS
tootis*
d) 2A, Rie
eg Rint Reig
Mo 2 FB
ay Mir
_ @} £n order Lor both Q, aad Q, toreman
in theslarahion region :
“ps F Yaga Y me Bar 2% 45%
=P be ete
Yo % Se -(M. tS > rey 05°
a7 CG 105
In (a) we showed that hi geke is af ouylt,
| there fore Up 9-9-5 anal UW Fa$
=p OF €G £05
For @, :
6.64
Ry =e = "Boe aeons 2.545.
m=
Fue = TE a Hom AL, a= A= look -
Airy =~ Jas ta2 ~Monton= W000 Yip
Rar, slookn
TER) fs muttipted byt, Since 2; KL , ther
T, haste be divided by 4; FeLi a. 25h
For T2025 A: w BIE 2 lad
“ on o.orr Ww
a= Va , 02 - yooka
Te oat
om a a
Age -lontoo soy
Te general Aya e- Tey VAL VA
; be ee Tae
and Ay, is not dependent on fe.
Rem 2 XOORM YR why a sc igh
For Toalm& and Ryga ShA y As Sook
G2 Rin. fee
int Big RR
Gy=-Ho00 x 2S, seo it ¥
F425 ” Svor loo in
G=- Wt YA a
For haoatmA: Ry sto™™, R= 490
& = le (2 20 MPS -
Vi" Tess Nei Feo 4400 ey Vy
Bee HSS Yip
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6.65
a =L.«3=¥
oer « a3
Tgep som A
Tea. ArewofQ2 5
3” Brenok Qs
© Tee Seg
b) [Val =SoV=>ry, © wad = Se_ = leoen
02% 32 wtook
oF
Total resistance af the callectoroh Q, is
equal to rorllro2 thus: re too I ted 250K.
rot 2 So" TE
nny © Fete 23. Qo mAs
Tr
0.085 ee
ye A 2 Se 2 ASK
Gm 38
dQ) Rin = ye A SRL
Ro = Fa IIa = look loo ® = 56 A
Aye, Rp 20 502-1900 4),
66S
e
Aus eo Ry =-S~ 26=-l00 Ap
Gin = "gs4 Gy lieg,, A) (8.655)
Cine Re ol dip Sete) = 12.1 PF
fy #— lB. BSA)
fi Bilin Reig
Fy 2 —L——______ = 65 Fxne
0° Faeihinté™ doe
6.67
B4.6.5F 0 Tem Gy Rhys tS, Be +6 Ry
tis Ss Pog #834 {852g U4 go) 48] + or
Ps
Gye 2", 28") 01] 20%1¢ 530) + 20] + Ile 2o™
Ty = 2645
foe =603 Kee
4 Ant
Net «Jus Ri 2 Fe 20 = -l0OM/,.
ts: suf
e 243 Catribulion of cach tine.
HW ta hSy, to,
" aStawk to the overall Qy.
qs hee
IF we compare Fy to the one obboulmec
ta Problem 6.66 ,ae notice thet Probie
666 haa alarger £, dus bo aagiecting
the time canstantso® G dood Ss
6.68
From Eq 6.60 we have: ul, aO~lCqy
wo fy = Btw BS”. HI6ONE
an tye Bevwoud —— =
fo, mel fp, are the poles of the transfer
Fonchan of equalion(6.60) hose Lorovainal
is a quadratic polynomial woith wekhictente
Ss
=(Gst alteg EI) Rig a 44S e
eQeol (ips y20)]J20 +1 - ot) x20
= 264AS «264510 see
coePhicient of s*;
= [tq Mgadtgs +4. Cga] Reig Be
= (tle) + inou] 20% x20" =
=9n006 Tsee?
Therefore the quadeeles equabion io:
1g meer "s panes "soa
Denoting the Frequimcces of the rots of this
eqgabion, waite Op, aad aps we, have!
wp) = 3.84 m1a ree => fee sm 26 .tgel!
pp = BFSAZ wG rods => fo ose 45 06H!
Coat.
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He tas Yea Moe Sean
coral (Bde a tare)
Te 2_dma-es
a (Fay t ght Slee teat Sax)
2) day fee 0 Hea
fe Bors eS
Te he eo yeeaatends aa
Ty eke > te
Ni dytex Io vr ow 8
ante rm Pri
dn Or =
4 i Sag
ey 2h Sm
: z feed + FRAC,
f ke ts
fy he iy VHS {den et)
dm lta 5)
TF the circen't is biased at ImA aud Gam,
Za MOonna cand GyolpF !
el .4e mA
dn * Goes Me
F, n_Im 40”
r - ¢ = IS 9pF
An CG 4eA) et arta
tp stS. 4 2213.4 pF
Bole Frequency: 4 =1e___. aoxia”
2H 2G, +E) Bn (2y/8.442)
By = 203.74 Mie
Zero Frequency ; fede , 407 2 318Gnz
2S Brin BP
6.74
A= 9 A = Sxde 2-100 Yh,
eh te ee,
Ante + Sa) R Jnl eed nda
(Nate that in this cose there is no Reig
and we tse £4, 6-44)
Soap =F, = B23 NH2
Sythul fy = P23 ne
ee
dn (eg ees, = 2s8oxiogs ice = 1060 fay
dm thob mah
fo 2 MAL Bf rap ee
fox
fog ow WARL. 2d a 9zE st
Jon
Dogan = Dae, Sy Mon) 2 ~hO6n (125/192)
= = EVAN,
Torat Sapectbs bebe output rode aud
ground « 2 + Su) + Gun 20-015 4 6.020¢0.036
Gre. coal re
L
Weire o KEL cut cme +
s ag oh pe 4 Uo gs
MH USI = g, Te me were
entaoton
Oy dete eh Sas) S
m
Thus: fg ~ Se 2 6" aoe
2 Ones, ~ anx0.05t
fed Matron _ pgetskee
20 6 5Cuai 2 (oedtenedy
24. ue
O) For Sete Gy oud
laas a from G tod,
We Cone teat fe
wettler « FFeck tama Ga-
2 $A 2 oe
<r Baris = That Cys = te
b) repleice the controlled source nape wields
resistance 1 . (Sourte &btorby
om ote or bh ae
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dor Fe ; S/d? , guilond
mee
Sinta the toad device is tlenbea! t02,,
Fotvad 29m 4 Pena ree
Thies
Ye Bef gm
1 ap he Bea)
we =
uy
Gri, Kn Coy Mov 2 wy
Gma Mn fox CH vor We
ae 8 gp ake where Roz Mg dey
ve '+ EA) Wo Jet
S) Age BM Wy 25 Baw
Ae Wa cee Ww Beds a FSM
wy v
re wh 2 Wig i
fas. “oes efpereede os
Aye bm AN
a
I, gl » hoof} 25 50.3 .0.dSmk
oan k + deol 25
pvt Ton VSS 4404S ot Fak
4
= 12813 2 36nd
+3
Thes De-Geda = - 9 r= - 840.5 nb anton.
Far Cn pF a Gar otek :
weap * = ee OT ls
4b G4 G)G — Usaayaosh rs
fag, =265.4 uM = fy
Fm lA] by = fo0e » 2654 = h06 Gita
Bode Plot for |AL: 30
72
ooo y= F2d8
Check ye oa 2
BnG, 1 :
f=” puree Ne ene ey
2 "Gnoae
f= 2s 5 lmANe yf a 2GH2
“ae ee ee
m7 Ee tgg = cite ig = #46! FF
To have Fy otGnes we need ;
*
Cc = late? __ a 159. 23 8F
LeGa* hae
Thus we need an additronal Gapacitbancest
154,23 74.61
44. 61FF
weriag 0 code equahen ak the Cupar
yoke:
EMC) 290 + ee Bes
Ma CHS Ge *-$.% “= SEM
- e
a we TGts SE NFSG HG
=gm te
fa Stcyet yg
ee oH
For Te 2 Doo MA, V, stor: fn = BET = TmAdy
Joo 2 gg hte
For soregl Cph ERK Gg t
ye
674
Sais an eh = 2xlbion 3 x 0 5 os ee
Gnb =AGm=s 0 Any =o FmAly
Ros = QoK
Ave = Det Sg) Lp (Hy nb) Bohn ITY,
Rout = ty 4 Aig, Ry 7 (84. 6.102)
Roe = 184 Ate 20 = 1, OH
Rive Bt he ceg 6.86)
Rin = defo erty Roe a
x = 9% 420 248.
Aa Brg Bie = TF aoa Mae
ut B
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ty = Me. Re
ye eetAG Ree
Ving Rea arly, ®
By ET a aay
Y= Fok, 20%) a%nao™ Ie
Gye a = FF, M2 20.99,
ul 1160
G, = Gj, Rent 2 0.99, 1960 Ly ag Ay,
Roat +R, [4604
6.80
Rete
y= hou, = 72 = A fee A, oe
A au i Ritts terre
wr Ae ALA atde m Ay w Boor,
Rive De
Ye
Rin= for @e . forte 34%. dep
=70sic0
Nite A, Loo ae IL
Vos VA ey Tye MA en EO
a oe Me 28-50. Ana A
hon Flt Organ dl we (1409. Mo
Loo =
PELE U4OR A wtoe meg = 166 mA
> 2lb s 2 v
don a r%y aed 0.24
Tpsi¥, Woy srw es Zip 2 2x02
D =r Ms --,
zn Now L WME o.lxo.24*
Whe 69.4
Sy F
Int Gab:
tof
Wye ROU Bg,
Rs {rll Rs+_—_
Ac fant ane ys
For ARs
Using (6.102) we have, Gy,
1 ;
FOAYRS So that is [+Gtan edhe Roe S
ev ng.) Rsopl then Gis= I
» Avg= I+, 49,4) ro
As =
“29 Im GEA,
=> Reb R
Gor fes Ay z
TE Re Ap then 2-1 45
Fo Imes
a rs
9, = 2205 2a" a te Ay,
ev 0.3.05
For = % dan ® 2B Bn 16m Ayn
Ge a Be 2 MoKA
From Eq. Gull we ave: Race [+r elk
Rou 204 (14 (8 $16)520)R, a Boo KN wm -
8. 3939.64.0.
Veins #20 Re + Veg = 15982 64nd, 0 Bea"
Yaras = |. 73%
6-84
rgd
=? ‘ose = Vs GE ght Fee) G
Mes ‘
52 Mg, Rs tose
TF we Spostitute Ve in (>
tose AWeiy RS bose) Ch dtd |)
tose (ty Es + P509..49me)) Yoig Cle Ger Gung =
foce + Veg Lele edebirs
fo + Rs Re elgntine)
Since Ais, = Gay = It Go thot)" (€9:6 58)
and Rene = + hy R C6 6.92.) then
Sse = Ys ee
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Bln
ley Sygstena:
ot -23, = S00KR
“— «Hk pba at hy
vy” 2.08
™ “4. ge jee 225K
The Theventn aquivedeat circuit of Ho court
iss Ree
Dryer
Thus, using equalcont &.A2 cel GN4 we Com
winre,
Youd 5 £0 a,
sig fe Rig Ue eB
eg.)
% eo Rav
ilar tie Big Cg fo) = Callas 3)
6
= a IAB aT My
From Fq. 6a wehave Roper, i +, fe 8
where Re eh, Ayia -
&
owe = SOS 4 Wed R God jy (2S ioh) a FI
Ruz = FIM
é
Voat =k o> ke Vouk. \ 1429 nie
° 2 four *7 5 Bak
ark dF
weekterve thak Vy the totngi a “Yat eniltey
is equal to Ty ive com write a mode equatin
ob tha eral ther:
Tea + Sea)~ 9. af adn +55)
This, tha inpat adel Han th too bing. Cia, law,
was y es = s
Metre ist oes ag. soy ae St
Therarore we Gun Feplecce the rons istor ak hy
inenk of the cinta by this aclmitecunuras
Shown below)
O) As we tan see above the cir Con be
Spperolid inte tude parteurith each park havin
t
Irs oun pales
$,, © ______ (mpat part)
SR (Ree)
ee Coutp at pat)
“EnSar eR,
TF we tompare the poli tga. 6 va5 and 6.106
for MOSFETS, we observe Ynok these equalor
art the bipolat. counterparts of those anes,
Fp e+} (6.105)
HG dR aa
jue
— (6:06)
BF yar) Re
b) Far Cyalaeh y Cus 2pF .qalpF y Lela,
Roig IR, Rs IORTL, =" Imag! 5 tom Ale
Fie ee (nis ening fstoo)
Aneta (i fae)
fo, =\5.9 He
Fog = = 5.3 He
es 2n( 2413) = ———
4io
foo dm MO" gan
Breet Cud) 2A 4 2% =
Fr is puch gremher tam the pales 6 92 Foy
f 2? fox
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In Fig. 6325 1F we replace tie NMOS ith on
npn transistor, then we cam were.
t+ Re
ay eR UR w here. Rg, ek, Set
t+
R= RW Rou where OG
Rout = Sale
vstoa the oper cirauk tina Constoaute raathod
ike evaluate 5;
Oe
WB Ey 1 Rel (Pind 4 ved RR ad)
\
Beloe » Meeli gy ilr
et, « 2=Moe = = leah
aa mee
La [wk 43a
From Bq. 6. \\4o we have:
Ante Fo UT Gto) Uf Red
he NAL 28. sow ne
,
ie
ade ol ce HO aw A
A Vp PES eens fae
weg HSK Res 43K
TWASE Rua = 100-4 (4 Gentoo} (5H)
Rear o Gat
AF the Gllector valtage undergoes a change
OF OV whit the BIT remains in theoactive
mode jhe terres pending, Sheag.t ten the
follechor current is, gro BY — te
AT=\.SéuA
Gat
ayTet - Vor = Lx 160i joon0.2= 320A
b) at ag =
dn ae = Ant 2 SIAL * By Ie
don = Keg, 2 0-203 2s O.6had te 4 he
ye Ww et fl basen og, oe
OTs Rip basaaae Oe
Berd eBty eoss ax
Noon = *ABRa + Jaien 2 4 Eq 6128) =
Agu ele (S 240 64eeas 2 24) y
©) Ag=-Ay AQ, Ca. 61a)
Boy = ~ ans) Maga 3-22 62-5 2H| = UEC,
cts 4200 Ww a
4) G. An Aves (Eq, 6.v0)
art yy: %)
2 at ats a
Gin 2 20% 2. = BYE Bi
62.54 241 625
Rout roa + [464 Feina.) Ge] ty, (ea. 8 426)
Rout a Gis 4[l 5.24 0.64j 62. 5]62.5
Rok 215.125 MOL
2
C) Ay eA, Be (Gq. 6.481)
erhes °
A =
(oo), wes ETE Ye
Woo
FY Yos yy,
3:2 %ow for Q,- Therefore Vos ming Vow.
Vos autey 20.2%
Yoras® Yorss. +¥osmain, = O:249-6) 40:2 01¥ *
Vera 1
6.95
M,
Fe ans ga a
My Pe S
a
le ot D4 Anais) arm
Th we Use equalien 6.114 te approximal
Rout shea Vee ter al
BEE Gunn Fe
2 We
OTe Rwy) me Far sane: Yoo Cle
Ut
For sae Tie W. is divided by 4) MMe, So
3
SMn Mois multipiied by 4 jor stuterlenty
Co
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ky
yy is doubled,
Gm = Pa Ge MEY, «Thus 9. Ser Gireude: (a) is
half af te one fer cirewilres.
Ag oe x Ma 2 BMak Thos F Las
New
ravtkiplied Br omd May is holved thin Ro le
doubted For circuit: ri
dn Surmmmonay, Far cie cull: Wy ie doubled g
is halved, A, te doubled.
b) Goch transinrer in circu (¢) had the Smee
overdrive velbage. OS Wa cae in chee tay
ReFerring to Gq. 6.12% and 6.X80:
Ae © = ats
S89. 35, (Serine a5 Civesbe 9)
Note that for the treasistork in ciraulrtes
tHe Gin Omd rp are the sauce as Ha ones in
Creat @). Thus the intrinsic gots Sor creek
teh, Ay “8, where Ay is the intrinle da
for cirenik (ay.
Ye general 5 cirenil cc) has a higher oatpal
revistat Oud For ARL Stune Y, of trons sters
ihhas lower output suring. The output me
Ws Venited to ANS, em the loo side Gor circ
ty amd (Cc) Ulite ite omly Ynited te YL,
fer circu cay,
ae
“
a) » 2-9, 8 = -Sx t2e"1a0%) . Sey,
a eee
« &
Rou = Reg Chef, RLY HA = 20%) 3<2028) ¢20IRe
4 tO Bok R= 1.03 AL
We uge = 687,
er eh,
Sighs oat ‘Kasey | 4%, (Bo%I 30°) = 256ns.
f. =~ «622 kMe
21g
b) For the cascode euler 5
Jay = 4...) SK9O™ looms,
Aa = eCard ag pee! $45 40-205) x Bo
Mags !21Yy
Rouk = Sas Auge for = 24 2) a0) = ay
tA, Be — = -\nwisox Se __s aay,
FoR Rate Besanwe fp
Vasng Ba. 6.134,
Ta = Racy [ga 7Galteg Ral + uber Que So)
+ OR Wout OL # Sad
Rye
ov h(— + Sey (eq. 6.424)
Sera ania, Pet
Rui ede He + 20} 5 0, 324KR
S400 Pa
Te A [aroatvsxo.sey} 4 098 (9804 2,
AF aM C402}
ets ns
Iayl Fu = 208.61 MMe
ZT
= 66d . 1495 Yae
Aye A a aod RoR oh eA
SR eek va 2 2
207 Ue Justo) dusts * Dee a(2ER > May “Es
=>? FON aos =
> (AAS = wary it, al
2
wr tgs tom ye 2 bw ano ae SMO ea ceded
Sincetg Is pall 1
C4 eye WAU But)
EoM 1 = IB L063 mA,
oe Se soak +9 are obNwAl,
Rout = Ags Gi +G2= 049.5) + G
Rup ae Ose west ge
Te (tp 4 od ek) (80) =35R0.5n5
Fats kw
LIAR, = 1995 54450 83.8 MNE
IR the Castadé freasiiter js resnoyed), then
we Raye a. temmon-Sour can feral
Conk.
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Rout A
ei zs
Bice = Tayo [tg] fy 2504 0.633n1 x 5a®
3. Ha
Rue =
fy Best note thak Ror Satpak vesistuncs
ok tu current source is equal te Ran erin
FL.
PRs BB OMR or Ria Fae Con
a Guay Clot HI Rind
p fee 2 Ly dao Tot 1 yn,
Berge.
meget Bor Ba Gera ron Sue
e = Ctr, tox) fe
3 7
Eb. 2000 x16. 9 =. 3RGH0Vy,
‘
In order for the eutpat resistance of the
torrent Sourts to cedure the gain by if:
= Peay (toy Hh heer nat) REM (eee Ne)
For Be 2-94 2000 @ 1980 we Shovld have:
leo
>
| rif Re kos 4as* i, Seok [R44
2 4
Re A@TSMR (This (3 the output resis hance
ef the 20 Current — Source
(Note that Be didnot clepend on R)
i
a) T)2 21 -Tewe pa
DPM
1M = "aia * Yee
E- dye ye Be Gye au! Mae
Me: 20, 640.3620:916¥
Vy = 140,916 = 1.qley
ye] 8
og ag a BD 2 Ode? 0.633 may
eee ey Ao MR
Soy one ee =Son 5.
A Rae tap + (14 945 Fag Moy = TPs Uy 2633250 )a8
Keak = (BROS @ 68H = Rig 2 Anata
P ae Gun troy IRing)
tied. Rie oo 4 Pela +1
gma Aon Gna. Brater deat
sm aoceasyso) sib
f =
| ene=f,, (% 1 Won ae ye Juif “BL -toooy,
|
Nete that Ry is the output resistante of bho
torent source D>
ai = Fou (POs HL 26 ,)) --0.8930(5e"4 sat)
dea
Oy
ee 16.0% Ye
Yo
elle Yo eae = (14 0633050) cb
o, Jon for) = (ip o633vSe) cb
Ben ig.32
x ‘i a
Yo 2-62.34 Vf,
Tnerder te reduce the gain by y by introdua’
nanidenl curreth four Al with output resictomcl
e
Se Sa Jon fe MRI Te he) = #2 6 16,0 F016.
= giessr)) = nee 5 Re eK
arena ng¢sise 4) ut >
A)1,= 2E1eT sotemk
by My nVayag oO vat
ey sAlp ve
Joy Ae
Moy te ervays OY
= Mallory, Grail Fy)
Raw =I" c+ 4¢ 50% wel) ) = 63.49%
Rea = Ret
9) 2g tm Rig) =~ far frag
Be NOE) dy Cy “tar Fala
fey = ‘na. f_ = 346KA
Ba Bat dns
”
== (s0%) 4 62.89"43.965 2 182.8tY
1 +e eee ia
= (149 52) Puen t #3
Pmz%o2. mae Odeon add
= (I+ He to00) Lx 2000 F Vip
2 H152.86« 2000.0 = 308. Fxto"
SIF SF gis she
To reduwe the gain by Uy pthe efRect oF Bin
o Tees 6 99x15 2B6
o Conk.
Ye 6s tonsdered:
FT
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O14" IF 2-86 =4 x (So"t\ St-67 yey
y 14 63-63
{i => Re B.SMHD og
[6108 |
int me teAle meg akg a Anlae tm ihy
| Rou =To Li lgeg | Ry] -S0™ [le Ceo) eos]
Rowe = Mok
| Pept eto =W10 0%,
= al Pat = 325 ¥,
Ne Se ae.
iit | vsing Eq G1Wm
| ie Ae
=r G20 Aw Ay Weigueganlt, be Cry o2ez0%
in
() Mas Ret (Eq. 6.184)
| Ve Merges Relire
bot 3 © 06254 mp 2.625
- .
ae eit sUSpeg Eq 6 rat
‘ Yas 2) Rt Rose
Be Bada Rs ROALD
=rdet _ a» SoM Sar @
Ve Reo 2x2) Ry
Rut = % Lie Que fue ®]> Solty 2a)
Rout = Soct 244k.)
sebstitute ia
iY soo
BT TER
So* isos
Sone Soci42-4 2e) 2
i * Sey setae 25
=p Roe BTR
ar Ryue = 50 (14 BARD OF) 250 RAL
- Ae, 2 Ls
i Res dee Ries et
eee Fn 16 By
iti Bo +2504
Ae RR Le = & II = 20K
c gi Bag Ry where Crme Bag (Ee6in
a> Rag odo" (14 Fx 20) = wooo es ae HL
Rgg a2 ORM
Rg vo mr Ryce Rey w Rann
Bee eR 2 Deer
‘ne Ge Sye* GaPya ra
Bonde ae poi noah, panes cams
zh = betenen
see
inet * = 416d KGO7-F 260 48 AOKI GOT EN
) Ry = Soom
Rout 2 [1+ ar giya Rlattof ies +1)e 5] albor
Bue 9e ble = Beta a te
Bee Rawk Aa oO
Re Ri Rae © Mok ihon « Suen
Ray * Roig C14 Gav
Cry» hes (Eq.6 14)
% [9tjant Jone) &)
Gy > BeOS A,
Ho [r+ LS4Nos) te
Rag won (ial 25% 32*) = B2oes
Stas fs —_ (8q.6 151)
+ Oda ¥ Ano) Be
Bory a.s™
lec Seo. 5 a
R Ata+40
=F WR =e = 32eR
aah
Poss = Sah
& = Gs Ber Qe,
ty = Be 4as
Lye = baa He
ag ———
ee Dye B24 Ole F204 32x
Ei
I, AEB MNe
Za l. .
Usieg gy GAT: Rega Kaige Bs
aT 3s 14 Fort Juatg) Rs Te
ae
£f we dehne: ek
HAG, dy) Ay End Rg oR
Ray = Bout — Resi
3 TK ta
‘ote
then.
= amir)
Coat,
Using Eg. 61445 Gy = ihe
“a Bee Trt tab Re
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poms
= OF Garde Jats Ue?
ae lie cy =r Geto
Using Eq. GUE:
ca, Ch Ge ROY + RL
= Rong C4 Ae jan 4st) iG EER
Th Rose + eu Ga 4 &G
tia Fer Gs + 4ou Bey, + GG getty
Rowe = Et eg Re Jae citk)
Rout > Hocta ky
A oe, fo = - Sa « Ao
ae Rot Mou Rene HO4 AOtlakS
tne dee
= farksia + + Gehog (ta fe Ae) + C64 Gu) 6 gs
€ rea Problem 6 lil)
Gy < abaot poh eters Ss Spt) 4 (Weed stk
it My
ty = Zo— 4 2( 14+ Boo ae
We gee GL Bie te 4
+e
Spe SARL nS
et TK BER IO” pepe
ant ~ 2ngsar+4ény
Fee daath &y
An (Y) Fy orney Pade fn O48
12 =428 2064 ayat os
3 13:33 2a gn.27
14 i125 24 26.15
as NTE 2.223 26.14 =
TE Fy, = 2NHe ,then by looking at the table,
Kei. therefore. Katha gyng “4 re =
R, 2 th 83k
Se eT
From the table: Ay =—|5-38
a) Fq.€ 156. Gola Bawdwidth product afA,|. fy
For Gaset™ R= jonn:
Bal Fy = 1542 Bue
b)Ir jAuis20u%, , then Fo oI1s4 LHW,
r
= 1592 = F496 He
ae ———_
©) 92 Sah. Meo-Desg alam,
Aprieey, As fawn -
sAe . 2. gon 28,
dm 4 > P
By =A, sy loe-toe 20
Key foe at F20 Wi
=> Seat = fone
he fh +t % | =A fie (541K Jako
Sr Ip6Rye4 a> Rc oSKR = SaOS. 4
Rie won
i Taos A , As too My Wee Ray,
Rigs (Ble + 6 BR 1 wher Re eee,
n= iste, + OB Teh a _
(bq. 6.158)
"Fe" igo
ga 8 Beer
gy see Aa entee _
gz vi -E= = Roan
Te
(ptt ea
Bey 1988
= Skin
docsity.com
by even sing J. RK . We alte maaw that
Rl Re UL and hence RX 1. or
248 «fe afer a8 tb ThereLore Mavintin
émb
fy em be achceved when we haute Gul ab
oe
ag ee ) 4B, (Sar SH)
Far the soura follower speeFied ia Robie
GB ge
se
Qe
= 19.94 HHE
——_—
[ee
Using 6%. 6.17% he
4° "ang G
oi. t =
fat Dee Bey «Roomy,
fy + ee OTN
G0 EN Ok He IS
pet Ooet ra or
bo “Be Sr Upp hype 2007 234
eaten sGH) 2rxkoo™
Cp BYE De REE
idl
Bay BRT AAS KI
From tabe 5.82 Ays ouee
Fatt. + GIR,
A. Bottle bef
A Tape Be 0-5 4 (ae"i/1%)
rer
Ap 223 _ -0-4y
ON Bas Ur
R= Rig W rq +a RY (Bg-6.179)
Reig = Reg py ere ete PEN
Rag = MP 2ok ogo kh
Ru = 1.2K ff (OTs 1x0. 95) = 722K A
Ry = Seine rs fe 2k+0.95* 23
eRe» Ri eR wa S viel
or Te oe
= —$——_— + —!______
7 BnlSaRurs Rp) 2a(2x4.9243%800.0523)
F.gHHe
Fits ger eo 2GHR oo Sa Se Spr
Po Better Ca
SpE otpF oat, = S08 PE
fae Ae 2 ee
fa = V& « 28 - don
Te | ¥
To is in cfheck parallel te QR, , $0 Rell
RUS" 20*-o915Kn .
1A gi Re ORE 8 ge
Sige rae, ef (e2Fpout pags
Por wor
Rue Rig lemme see) (Gy 6144)
Roig i
From Table $6;
Run ea S84 etx eds) =ho8 KIL
Ry — Asia RE ip ogs
tr EL po 8k
nm te 25" poas
et si! ite eer.
Ant BR Gye) 2a(00T2H ROT pe
Fy SUBS MME
20,0556
6-122
TedmA =, dae 2a Bom ly, ’ webal
ln
few pe RAR é
Fg a go" snes!
= = Sgn =3),
Taategea) NTA" saivtoanat
arg, = SS — ae 24. BS pr
=f
Ane
Ragan & “Rear “9%
Ria Rais Rg = Rirge te =P sig
Ru Beg Emre] Eg eed
Rue Sea I Ce 2s 4 totxr)= Sag tt (02.25
Ro Baia Re 'Eq.6. 180)
ne a 4
ta Fe
Ry» Rr op JR = Bea +!
(FOPR 470 ORR ig Bt
Fa Bee Byte AME)
B) Reg el
7
2A 24-85, 4 Ey)
Anse Ty,
Ry 0.49 A = 2442 apf, = SP. SHE
Bb) Rygciok 2:
Ace VED SR 24D ey Fy = FEM HS
a] Roig= took te 2 Aye OEP,
Rus 50.6KN. AR 2621 => fy = WB4HWE
Aye ey,
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Refer to ee PEA23
Bach of the transrster S rf operakag abe
“bis ane a apperimality toeja Thats.
Gm 2 = Hy > ja 102 225K
Po otaeR, 2 ie 2 too 2 IMSL
on
rh on v
ate = = ale
rt Se = Bipween OF = Ge SIF
@) Rin © (Bel) Dre + Crna lord)
Kins tot aSone > 25K MA] eo 2.5 MR
Me - Re 4 for
Gonig Wontar la) a0"
fr
hanna
Ayo 3A43.6 yy,
ito tatedtate fy, refer te Exmunple 6.13
Ry, © Reg WR 210% Sar 1OK,
Ainze faa Bin
Kegan 25Het
© Far = to + 24.4
+ i + Sp
Mbsng Miller's Theortm For tar:
fig
Gane S sally 2) —-
Go 81 40.2014 4 x Bog) = 501 -SpF
Roe ya lta Ht raves. as" tooo" }j 25212
Rew 342 +1 ter
Rag = Gps oooh
Be she, Ran * Sy Bat Re Gen tT) Be
SO2e te 21ST 0-35 Fol xd. 342 + (0.261) tooo
Cy 24 o-4T o ZF41S4 1200 ns
Thos (6, + Sin) Rug 13 the domtnakiag erat,
The Second mosh sigaificuut term If G Rp.
30 (6 + Sy2) domenates and then Gor
ae thy Sup
f= al ome
KE, ~ Bryn. 67
¢) Intrensing the bios currents by a factor
oF te:
Gn= 4omty, 2 ys BSE
Perce 2s loan
Ge je + Gy, 110 3 0+ S96 26. FPF
Se oapF
Ry lor [ 02s» (2.8 ted) ] = 249K
Rin is almest decrented by @ factor of lo,
uF, 25. “ittoo®
BAGpiaQ OORT, (2.5 "ff too*)
Aye 380% Y-
Ay, remaias FY aimast constant.
Ca CFO 2i¢ Hexion) = F464 (almost lonstonl)
Ra Boag itr sto 24a 24. 6K a
Row Shays dims the tase.
R= as" 1K) ABE WG LUTE
a
R, is almest reduced by a factor of 3.
Rina nly = 2 44 RR
Raya 1eFs 2-44 = [om
244
{0 Bet tear
Rit is almost decrensed by afoctor of 3.
Aya x4ooo
Rue = lor = 100 ee (decreased by a factor of
io)
Up cO 2a PS! 4p C.F 20-1264 806 Fx0.NB 4 1.2¢ 100
Gab42 -0F495.2,120— 21%. F295
Theo. the dominant effect, that of the
eutpat pele, is reduced by a factor of 10.
Thes occers because (4+ Sa) Femasss
constant while reo decreases by a fachor of
jo.The Second most signatr cond fachr (that
dut te Gor Gz. with Miller Effect alse
decrense 5, but only by 4 factor of 3. The
Overall result "5 am increase tn Fy
Cont
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fpe she eases RMA
ANT “Beie2tt gate?
f, has increased by & factor of nenrly 7
SigniPrconnt: tacrease |
(24
Notes Although rather long , this 1s am
excellent problen with Gnsiclerable edecatians|
Vole.
a) DC. Bias
For Oy: Tyy= LW libs
Bla Lddtesat
mr Yigg oh BY
fgg Fed
Tole
See analysis 7
by For 9. = antind t= [tare =0.63m4p
For Qyi Dug MOM, nat S66 2 Sa
ye te Hox to Rete
ae ink “ann éson3 "°
Since fp c0.8p Fas & = 4.9pF
C)at midbanel
Wn, 65s
He RIE)
Ya 2 286
ve 288d
Von 2 0. BV
e ie Rin. Fine Sea.
x
og = Inia GE B*) where we have neg!
the effect of RB, .
Me» —Hong tw 3oy, arte O-8 46-30) =ATZY
oft SISK st
- T= CB)
A) Ab toes Prequameses ©
¢,—» & = —— 2 2
i Pl Frye KBR (t00+t9 Seto
=4ote
oot
SP Teles eaelpio >
Thus ho 4OHe
e) At heghe Frequam cies:
The high Frequesercuy equivaloat circle js
as follows:
ae d ‘ : th
ona Yor
eats’
Buy 1odipugs ”
Is T*
a" .
Se
Sela } - 4
yes
Po yb iE Yong A) = NBR 0 BE 4 HOR Ste
Boa = Reg stoow (HATE = BS 2RT
Ryp = Haine CORTE). c6BF tS) 5 H2r 2Oe 256 2 30,6K
I Bani CG EYSEY to 63x 2.8
Rre een oily a 1ka
Ri 0.75
:
a= Gu hae eet Soh
She P32 4c 3006 4 34-80) 4 0. Fe. FF ITS
F) There will ne teager be & Signal Feedback
The tof hed trele ton Reerstar will in e fhe
apptet bebween the input
terminal ond ground,
Thats = Riy sto tL
(a factor of 20: iwermae)
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Teer = 27AA » Reker to Fig. 6.58
1
Ty c2SuA =f, Wig BW Hgplae
. 2 2 v
© => 25 = 1-7 250% 2
Toe BEM ye 95 Le to0 nd Yony 2o.8l
Je Me 5 -osebo.
a Cy >t 25 x MBa Soop
Wy = Wig et ple
Vos, © Yui t = OF EN40.6 OS HY
Vg) 20-954
© Yon= Mass Nasu + Since Sal ad ety, Mates
Mage Nosy => You = 2% ei = LI Vey
The Jawest possible voltage for the output rs
Sole Q5 has Vos, Yona
v,
ova OF omnia’ seas" Ww,
od Tat then Yee
> oe bOI GO. 35461 By
Aaah wtlp .2¥0S 2 232mA
You, © des A "oasu Sz A hy
Harton wYa.n 20 OK
oO os
Eq. 6.4 Roe Tost ('+ Guat ups 3] toa.
Roe Hos [14 2.02% 4m |edoe = 460
he
i Since Voss *Yosa
6.132
VaetVees* Vge)=l4y
TF Tage in in increased
to imA or equivalently
multiplied by lojtan: = cs
Tex reer. ig, (Moca Y8eNAr
Te eg VGBNUr
“pea -Yae, => %ag = Onto. 0.058
Ape = 0.058 => dV = 24Y, a oly
Now! we Caluclat. ty for V,<¥
Tage WE = 100A my ‘oe,
The wctoa! polus of he Tree
ol. gt 294.995 ua” HA%b)
-
fe 2do
bFe 2 9:005 2 5a 20.005/
tT, foo &
eA}
In the Jate of Bz we see a small incremental
‘feersteence oF apptoninalily qh and Since the
Ba
intremental Vaitages across f, ea Q, wil!
be swajf; We come assume that the golisare
Grdnded. Thus the outpnt atifane will be
that of the CO treuesistor @5g Ohich has a
FESS ~ s i
Sto Be teat tlt mat Iub2)%a)G) 1%
WS sour. We use &9. 6.101 >
Be tea afetins * Jos) Tos] Fox
Rares + [I+ Qs+Inas? wa] earl Eh
fps o3 + k4na Gal) [822i]
Ae tos 4 Imadng 102 G3 1,4. 05,05 loa
6.133
wb
Since Pars oar, They Tay Ton
are all matched 08: 5
j= Fy=--- =e k,
the basecurrtet for call
trasistors So L, MeirTo
A vade equelon at the bade of Q, yrelds:
a. Fete
The emitter of Q, Sepplres if a,
a ey (rho Thus +Ie =
REF Aer ? 4 free b+ 2th
Fer adeviation Frray unity of Be
fess theme’: W4I5_t i ntl.
ont: Te fan OS am
z
spas f—4=yncg
ant
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x
Band Gace |
biased ak Tyee 5
fey=Fep= E_ ag = deee 3% anne
or
fy A ‘i
Teer =
Qs is besedak 21REe, = =
This eye Bue Met
2oRee smotl—siqgned
“ model
Reker to the amail_circd> analy cue performed
dicecHy on the crrcest Since tha current fa the
amitter of Qy is a, the voltage vipg will
bes Wye pa
Mee Meee My = Syne 2+ he ¥, (ly 2 ee =}
Yye Yee 2B ALE) 2%
and ¢ Vy 6 Thess Rie Vee 2 20
a i" = Ve 2 2 Z¥r
6 do ae a
For Teep= loo AA =e &,, = Res22t ao. 5kn.
a
All the output currents are equal te Sothen
we hove; T op = Ge HE =P th.
ot hone
fy is idenly “Teee/a., Fon sy lentes?
0.45. Ret fe = lL => = [04-5 2/05
TREE Dy.
outputs
———.
1s in dependent of? te?
the number af outputs
or the value of each
output sé ei
The current Spep Cavs er y Ye
Sphb site uy number
of outputs #1 aug h cx appropriale dhwibin ies
of patalle!— connected tau sichors (Qyand &
ie Haas (ade) The reason the fror factor remed
Une doth ty that the bave cara
that ated te ft TAY seppled by Treg (subs!
Fronn Tyee) femedes vn chauged.
b) The TmA reference turcent cou be uaed bo
gentvale Haver ont pat cuerets of (2,44
by warag 3 tran s'Short on pocalley naa
relakve area: rabos oF |)2;4% as shou
ae eth! ole a TAF 1 A
teep 7 ‘ten Cima sdectty)
Toa -4 at el Fak A Clad tceatly,
Teer te i a
De ow
Ze
- ei Ege Bat2ma CtmAideall
= th Fa? ie
6.136
A) See the alysis on the circu
.
Treg = T+ oe2— rat fprAe2
oor Bel) * “Ac Bev
lye kget a a
6137
Tressel An 5297-092 (-5)
a
a2 Rages
Voy iS cbtocned whet 03 Tyee
Me Sotoes!
issatorared: Y oSotozeal! x
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¥ Mi x
Ma = 3 [faa My + HL 9 Mk -
Frye.
ye Yes eM ; Boer Yny te. ed
Salt Sip aal Rmraly Sis
Note that all 3 transesfort are
Waded at Tepe
, 8 Maye,
nv * Feo FY, Mart + OR +Ver
beg A +t
a (Bot poe tt) nr 22¥, jap lery,
sh Yaa + hs Vig 7 a.
4 Yaa
lis rAd
ay,
x= ng [a+ See ge Bany * Aa]
; Oda Vine
This: Rye Yeo 2¥m | a. Br
ox Baten Jn Deer
Foe Tee SOKA
Rinse 2x05 _ 9. 5x0
Ol
Row Aen BVA 2102, 100 Sun
2 2 1
oA
tape tym Tye hee
rites => fe = oe ar T=
et Gel, oh ase
= 2Sua
noah, Sain,
Refer te Fig §.6la.
2
= te cog
Na EM” Liteorte, * 18s > Nou,= O08
=r Vegs =Nec) = O1.0F% 6-6 20.86) Here fare
Veu= “eas OBEY
ve 3
3 = las
‘ova Ene
me
pAroen ae
” gaze Faas ys ouoll
There Fore Vos3 209% 40.6 = 2. 51FY
weg oVs5 + Moan 2 0 86n0.6l7 2 WURY
Foe ses cave ameter name Yosa =,
thea. y
soos!
a y
arin” Yes) * “psaecn™ o 3440.08. 0,88
20 oy ast 5.
Vor aap “OREM A, 0-625 uhh
fons Vag 2o » S00kSL
0.03
For O34 ‘dhs w 2s 25 2 ISTRY = OTT mA,
a (6h
aye 2
Refer ta sechne 6.12.4 in Fentbook:
a
Roe 59 top 42) 26 qo 39a B00" 4 2) (BID
ma HDL
27 Bmo%ys2 G
Vgs2.+¥gs3 = Vy
Sime @s and Q, have the Same poranelrer
Gnd Same iurrtal , tare fore
\ysn=Vosq
Ves 2%, von
sn =r Gras 3
Substitute for Wise in @
t. © Soca Ya.
Rg = Ne 7
a
ee
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