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Chapter 4. Problems
The ane per gnst aren is: Gs fox,
fon
fi, = Buse,
b= Sam =7G, - Sdsaid' 697 os
tattonm arG, 2 ose Ff 2
For Oe capacitance swe require ast arc Ar
Ae
for t, =5inne
<1
4.3
#9 46a + tye Me ey"
to
For equal deaia- cerreats :
ae. A et
Badan SE va a o4
fy Bq PEO NGs 4) “os
foe YDS al eg as
to Kn wh Was ME Sonia 20K9-0-8)
for small Vpg
Aw ae a6 Show For tox 2 200m Toss 238.0. Vag bey = aenny
ae for the Same performance of a p_charnal
for a square pla copacttor of 10FF pm twten sa supe +25 ay Me = Max 53
“ We FY 1 -
Be lox iabeisamn or 338 ot Sqonee for Bes So iP
Aa (On NET. NERA om 108k a sqoache ty
: 2
| a ae 1 1
a &y 4.5 0B MH [iUeg UL IMyg - Lig ‘Ape
Drain twrrent °s direeHy proportemal to the for Smal] Vg
width ef the ‘chanel Therefore (F wiilth is to ina ky w Oe HI Me
times grenter :than tp wool be to Cmts a mas
\ f, fo kn MW CVes-ME)
grater as wel For te cIk E
dala «100 MY y jé6é%S,— Le
ott v loo Waxtd®W x(5-0:8)
Ke Constant oF 4 my ws DA 1
ropor honed|'ty = 3
oP 3 me bases
- = 10M ———— os =
O-5K0.2 a z Wseyel | a8
vik Vea 0S '
I ay s - foe. 3usto 2.3 FRY
tow ieee
— mn of, G = F50x1T 1 AF x lO “ele SAY 2
2
rose aap. b) tp eke Whewe uy Pep 0 = LW 6516 py 0)
3 es “oa a oa eer ee 5 OS
OS pgs 1 -o-F= 0.28 =y¥, 20.28
a Sf:
fog 2 15 Mpg = 9-98
= DoE for Ye av
ae ve 4V
SON sh ROK for O54 gd
Yasmin = a -¥, o.25V
6) for Small Ube rét ode region) Ce aw ‘yes
Conk.
. Yos L
hye Wee re pitt IN
pb Kn ey Mé.cmgG ie v ee
ayy rene = ey hr
ov
Vee By tie eotpots lI
i Ay Gn =, Foe ‘es + 850nb BLEED wi. 1Ays
a) Crh region” : ‘bs “Mes M%
t= K KM le YE bs Ly aa
F “py NR IO ‘ofis- dnt — geile GIS mA
? by edge of Saleralon regan -
Lew os Gs Me
De ® wv
es eq
©) tr'ede regions vd Ve. Vy
; oe
ty 2 HRI e10 lof 0 B02.
d) Saturateon emi? vg > Veg My
Le
tye bru to1® 10465 -0,8) 2 9. Pend
+p Ww W so if wis halved,
then. 4, wooll alse be halved. The verhial axis,
tpyhaato be chiyded by 2:
Refer to Fi. Aut,
ADH rong). af20. BoA
1 ee eee
Sor a devite with,
half the soidth, >
by is divided byt
Mav
w)
Ts graph is rot depen det on yy whutle
Fe. 42 is dependant an VY
2 3 ayn 4A
fer Yyeta” aby looting at the Conmspamg
a ' : %
wre PMc au 41S, wl observe that eq WB: ee [LW vgs. wt sharelacp::
B=0.5615 mA foo = Vesp-Ye tooo 2 Mee layy 3s
"ps. Ves1 —Ve os .S=1
NowFor a device wile twien tha wcdiles
Gone .
vs Syd sd" a
fe YA — 280 Yoo eh Meg BS PUES te : = 23x10 /
ip 8 8 Fprexle Epa. 85t nT LO” ws
by ik Ip is Fixed: ta 2¥A 2 200 200K Aig AB et8® fea
Tp \ —$—$$_—<—
if tog eroone Fx. = Gan = test ap 29, do
ay ¥q Com a2 tow
y-25ve
=
+5V
Yys=-PY c te ¥ is tpt ok 0 SA than wien Ey, ts changed
To opera in Saluralion 1 VA > yA Vim 2 Gut, tet = 1g0-a
Cor, Can [hy, (Conn toxt 20
“ A © 3.5 ht ‘AL
Yos$%es-%E OT Wek SAAS) oF vs «3 a =e a"
WMay Me
Wha, « oe mM = wi aula f.3
O) Vn 4” = Vogue” 5-3-5 Ya, trode region
s
ue Ke Mh ves-%) Mos = 1s eqn i wae]
\, = 80 [eS-t-r9 cy -bet] ° ah enh
£44.33 Y<%, + Bee Mg - 424 |
“% mpealgt of selarahion hs
Vary av al¥
by My (Ss Yao yg 8: SiaY,
te IgM Ole) an Nos) 24-432 vero! nM 5
ig's 82 (SIC FeeedS)= 0 S2mA agen ie 1 es tloesn Neb) 21.64
( yu ov
. _ Ke 41-6
©) VoHO => Mps = -5 Q-3.S aaSekvralsen EF tis ia cransad by a factora® 4:
ty = yBexes si? (140025) 20: S4mk Brown Eq. 434 Yul. or Yobs yor He tat
oF
op e4naSs aye % ton
dh Vge-5V 7 Vase n10" 223.5 ap Salerallen Veet 2(loes4 16.6) 23.74 For vege”
VE =l¥ For Vag 20
Up = dx Bact. 52*c\4 0.02010} = 0S BR
Therefore for T22. 44 4% 4a
4.04
| 44:30
Ves=73¥ YsG=3¥ ve a
Wel” Ea4-33 Yeh, gee 124 |
u 2-1-05 [le6s slcé]| = 860
¥
Moses Veo ="¥ Vye-S0" heraod
tye 4 Mes Wyg ME) CMs)
Be ook, Ww i- Balke O0DA)= RAG, we
er =
Kew 234m Al et =
= 431
4.28 . , ze
«= w
a) 4p Hh, Bivee-Me) ; a
Bio LW Bea (v5 Vi) = Fy AL leg ME) SE
a at t er
Fy 4-34 = Ye vETNaEs er ~
h be oI
Ce
boy = 20am Coy = Ege = GARE
f
DM Ae For B4p/ta __
ey @ teeae
adios Berjen ate ay =
ar ee Sal
Diinfey _ ~0003 fr =-0-3f fo
oT © c
43a |
age Traitor Ve VV) i) type mode How ¥,
hs ! o 2 5 Wo N Sak Oo |
t 9 3 5 Hoo N Sob tag 1
b 2 & 3 MS So P Sok toy ats
2 5 2 .95 450 Pgh le 1s
c 3 5 3 4 to P Sh Hoey
$ 5 2 9 BOP Sh Hy 4
d 4 2 «6 © BN Sat of
4 -4 9 3 Uo N Tre Joo of
Cost a) vamsistor | Yas a Vy SY 2, stonsn
THis Huda oe an Mos “pling iaSaarein
a
Lu . av
BRE FAG HE i) porte Sivas
hte. Yece8v. Hoe =A My Goe WE USMY t2-vE*
L
Vv =
mr MAM )c 3 ayy | 1S MEH eke
Hit b) brenotity 1h a SY Yi eas¥
Therefore, Mos ML, ANE regardless ef vobueoFy ,
Mad the Lee operates in saliralion (ome)
= 2.
Soe He CEM) 9-3 wh
“Sos LAG, w 3M) i)
2 = ~ = ' ‘A
By FL) Sey >, VSV AG Wesoo he
Sake C) Gransistor 3: ee
Me device tom a etter in sali raven or
Frode Tylon, Fst, ute cussume sdliraleya regions
fore AGM CIT gucd
Bs ‘Boo ed MG, (-3-4)
YL) = 34, ery s-lV 0 Ay Soy we = BA
Wr AsSimption Was right +
(hs =e Weg we-aete-t
edge oF solurak'on
aY
Code d) trausistor 4, Woe 2 my NMOS
So
Yas
Ye.) Veg ME = rSahration reg on.
Or,. Flak My Gye C2-ve I
Gat For yi, 6 SHY Voge cmd tensidering tha
3M y then the davies is ia eriede region:
lide jh, Coe [Hay ye ~ 4a]
Oth aH G. wca.syy
0@ *
sy Vso. Myx Weaioo My |
[4.33]
2 ’ 2
@)Iye4 Ky Mes-M Jee Aa why 3.1)
ar ki al A
K = Vp_= 31
v
bs) VY =\~ Iy- Ypg #l-Se 3%
¢) Y, = Wy WaMye = 8-3) = ay
BY Vy aM, Me Vg Fe 3) =
In order to toleudlale Rea TRAE teu oe
PAgerted in Series wi! He He, drawn» pg hes
Veg—V. So that the device
is operdhing on the edge of selirakon -
Mogl= 3-122 - Note that Since ty ra the Saamt,
Ves Shays Tine Sod.
to be equal te
Q) = 322 Lg.5 kh
Reniay sie
) ¥p2-3" o> Vy=-24deoerR sy n08
me
Nett that Vi is Freed throwgit ese Sy,
Neg 2-3 =o¥, oV, 23" Aloo Far Wy bo
be _Avy Vy has to be 1
Iv
Rone = He SER
4) Vogs 3¥ eh Mya Adding tha resistor
between Vi aud drady means Haat MV, hee te
be 5-2=3¥ ond ihe leaves 1% voltage drop
oy Als pesighor + Rs pro apisose®
Trordker to colewlaG the Langeet Resicter
Oiled to thi salts, nate tpet Since. tha gale
deeaelt draws any CurreE the value of +he
resister is jnmatarial.
Gant,
New we Colla Ay... assuming that the
Voltage drop ctcoss the curment Sour teok
leant 2¥;
oy) WaeY then Vp .28¥ ay Vee F325
R 262-5 RM
sMax “Dp
roy
bb) Vy ade det FY Ms 1M e-
Poca =2-C7) 2 2.skn
2
oy Vyeto- ae BY Ver ead 1. 3a¥
Rea © i oF SKN
v
dy Vya-S+ Re -BY 1Me eS 4lVa| ee
BS_.1seh
A
or ® yr SK
2
tye BEM, aM 7
| = xeon Bi Gi ay
ey Vgge 2 ar Vy0o0?
Yoos3¥
2
a) aL AG Ee) anes
pte,
rote ren S 7h hg et
Veg tos I L
Re Bhod = F7SKA
om
by For & to conduct a.m A+
Ras tt 2 4K
Singe the goles are connected kegether,
3
and
hana Some ip. In order to conduct a.smk
oth brasistors have thesauwe Veg
or multiply io bys: 2 =SeyWedeF
Ply > bys we Vi,
Wie hom
to Fig. PH. 36
sk 5 B.04KL
ons 2
o. U5 =k ebonlon LVS = ot) ees HSM
mA
ua |
Refer te Pu3t
“y a
skin Wh (VS <1
MesuelS¥ 9 toast Lara »
my Ws BY
2
hl 3.521.522" , Mon ao We (ast
Nosy 2B F>3 ’ fprize Me (aol
marl, © Lf
Re. B-35 212-5kn
oj20
aT
Refer to Peg Pa.3,
Vegyat- 8% a0 fA= frinena(): Sy opw= Tn
20 a yy
aia 190 Han Lal ae Loar
Veg ge SY Wy=t Amn
eit
Refer to Fig: 4 23a Mig aS— Sp “>
Tyekna ates er, -20F =r 367, 311, 950
= zee 345° oe 0-833 mA
Ipsob33mA is not acceptable ,becanae Ib z
results. ia Vege 2” which is Inver than Ye
Therefore Thao 39S mk Comal
Vp 2t0-6T,~ FSV
These results Shed Hak although vp and ca are
doubled, I is only decreased by Aof and Ys!
#5 Therefore the conclusion &
only increntad by Cate
446
A) Oy 9, operating. vn
SoTiraiwon : tye 4p,
ares * Morea ¢
- Moos lS
MAME sy Mesa @? Gait ewe”
Vyas
a
din 20n39 4.541) oF
Te br 20439 (S41) a F.gua
by Goth transishers havc ‘yet
d Harelere wALo
ei tarts agamnepeting’ YO
in Salrousio n* Sopa Mey
LAG HeLa Gwe oe)
aA ut aah 7
2.5 (4-1) "= (Lay)
HSWCY, -t)miL-V,) oy Vy = 139 Vera + ip
by x Ron 3 (1 S9 Ne WB WA
a de _—
av
AA]
Reber te Fig. Pyt
Stag Ye, = Voi then Q. is in saluralon We
GSsUme that Q,is alse in Suivobion, thin
betame tbe tpg > “es, Mould ee equal bev:
Nes, = Yess = La 25¥
Fis tye ox to (esas S625hA
Nosy = Ngee REV. Simm Qy wed Q, Wave eee
See drat. current jt Ves3> esas 2
TMS is baad an the atsumplon that a5%9,
Ort Sala raked:
v,
G33-Veu =? T, = Tyg tags 562-5 UN
Wye5 252 .5¥ ~
Now iF Aq amd Gy ha Wetod dim then:
ry +p a See lee (25ers 5.625 mA or
Gi 2 WD. loo On S62 SMA 5.625 ae
Voss = Von _
ASS Ms qghot the tromeisters ant inselivaltan
fer -
Since oud wore the some Tooth Q, and ple
= L
( Ua
Spyetnn = 22 steal
COA irihe
.
loopAeL Kioon Rot (Uys5 SA cseat lin gent mo
¥
Veg #132" mo Vy me 4324
¥, 2S -4on loom 4 Vie
% Ly a (MY ae = 20 asrome O28, are satyailed
Mees mod ee Shh SO) lies 4
“em, * Vara. 3
for (MY
“pie S02 s
ipje Ug, = O-dm a | =r dove taea 7 ipgetewa
; z wy
Coe lRom Ln LOO 20K Weg at) aaMeg 2135
a7 My = -1-35¥
Ve 5 moxoin20.R¥ vy 2 S-HowoF a av
Mos 20-2435 elgSY yo veg =I
Vosaw Beh 3S = S19 Beal |
This Cenfiress that beth transistors are ladeed
selated amd wor assumphen was carreck,
Pais 2 Ngeth el”. ig
Sint Ae ys tisls ye lpn 25 \
For VedU, tha transistor isnot on pV. ¢tt-
Point A fs ohare “eg ely and Hee brennstor
turns on -AS Yi inicrendes tie 4 increases j
and u; decreases. Y decreases to tha point that
if tS below h by % VOlES At thin pelat, Bythe
HOSFET enters the triode PEPIN Ya gt
OF Vyse¥c-y. So at point Bs Ts “bp—Yen
a = ge
De Yeo Mes-Ve) 2 jp pew ies-yy* |
R ae ee
$- Ye. DoetuladY,-U => 12V,0-23v 4650
tgp ap ans th inh
Cont.
v
eset FLOP Ube h6h- 120.61 fest of the vahus for vi.=2535..- rag
wv F coal
Point Qi = 0.6! Veg = 1 B1 Yos 1 Sy “yay Mes ay oy
2
byte LeleoS cose A
a 2 —-
Yq 2 S- 2Htxoes 20
v
z . 2 tal
Vege tag * Go ety ne Sel =”
New te calculate +he
remental gain
Ay wk this pias Poin’, From equabion 4ay
we Wave: Ay =-2 VaO/Voy 2 ~2pp-Ya)
ow
w=2i5=03 , :
By m SASaB? Yi
€) Vege ts uy a vg 1-61" Thus the largest
ampithide oF a sine wee that teu beapplied te
the input while tha trinbistor remnmodin satyralion
is: 16)-1-Sa0.1v
The amplitude of the ourpub voltage signal that 4-51
fesolks is approw\aalily equal to ¥, yo q-Yg=2-0.41
234", The gain implied by Has amplitudes is: RyeZory Meet Sr I, sot
wa 134 5 WY v Sua oct
a™ yma Ayre RBb ap at0 6 = EX oy 2 o.t
low low
Thitgata js Saf dif Ferent Fron the imtrenvental ‘osu hav =r * wd 0. OE
Dated! = * 7 we on”
gain colasated in portch). This difFerence is De EN Myy ae Of wb xSonte?
=~ W225
dus to the fact that te seqmeut of the es
voltage Eraser curve con dered here is
4-52
rok perfectly Wear
4.50
Voset =Yyaq =r =
2 &
= a ei¥
Three L ley ayy « V2tp =!
Noy = Yes > » Ves = av i
Ao och Yep 2261805 2 _igy,
a Vex tee
= Yop Mog =lo-!= 9 {
Ta g
%* “sq — Yop 2
Tnerdey tofind Vig tohere Y.-¥, ~My, or
Yon =Yte, Wats oe,
.
Yog « 1o- abxl ‘ig => ue +4 4- 1s. eo ye
= Ng-Mg = I-Ie
Using Hhe Same formulas we tan Caladole tie
Assuming lin€ar operation around the bias point
A “ “
1 Pade ly (Ves—Vor) = = Vo =o th (1A) = Ply (Mey Men)
From Figure 426¢6) we have: = Ve Wie
Yo.
Ve.
ga Bu(Wea= Vor) Sie ves Mis
Wee!
Vos) ALY)
' -16
| +S lh
2 =12,
as =l0
Tye 2 XI MOST a OES A
Rw "Pp=VYOS « 3
Ay
GW. Gy
° ‘
CAT 024
093 0.066
(38 ote
NBL ogup
Fas) og F2KIL
To en
4.54
" 4d 2 Nad 2 * 2
= ay Lek, (W) (VE Vv ele (We
Sy = fag AER OL) Ce ELE Gg
Note that Vag eve
es = “po Yo
-3 ! 2
yeas «Ly Bost0 x age ¥ (Meg PoP ay
“ese R3RY
Refer be Feg Boe.
fw Vi = Wor ¥)
=I Vos Ver
r v gg BSL
Rot, s 1B =S" a» Rp = Baye 2S
RyTpoS¥ => Rak 22. ser.
Vee S+Uyce F3av
Ha
is eh $32 Row 22M aR 21F
Ret tea oa f 2
Vos-s”
atthe edge of salvation Yon Yes or
Vpg 2 2-32-62 = ti”, Se Mos is 5 -12,3.88
away From the edg cof Sila rake a
<<< —
4.5¢
ao ,
ReFer t 4. As aoe oa 2
Ins AmAa EK WY => dab Sonlo x 220
Yyalaey
Yo
Midway oF cutoFF Uv
triede operation (Ypee
Vog 215.63
Voge DBaV ay Vy 2 2-33V ae RK. 2824S
3 2.
Rea
52 6-34KN
Vow Ve + Ming = — 2324563513. 31 Mage FIM
R o 2
soy edge of tricde
Mpg) usd beginning oF
Vy) is when Was eas
o-Ps
a
12
Ve et2s 22 as4y" ‘al
ci peecey 56
Kw «220 te Bro shy 2
Vana te way
+. ‘ % a 22
orgie aa c
2
Boas ee b2e BMAP) Soya |
a 2 7 ke
Joey Sndeed 4-13y'2 235 uA z
to bmi co ISOALA aw
Tena FO » a
\So2L 2380(3.4-0.15R, 1.3)
Roxane
Select Ryo 2k a
sr z
Teweag ole 380 (3-4-5 eh 2a)
=
Dra
Tomau 2 CITA or oe
The Secmd answer resyltsin nagar Vere
Gut,
[ 46a]
2 are
a) Tye bate (4-2) 2 2A ii Ro3e
Vp = “bp - pty a 10-2036 oy i
Vp = REV +h
by gq = KR Ye be Hod) = Doh
oO A, i un Pyt - 243 6e-F2y
i 2 Sek
Ok
#4. Ry [No) = ~ 2(3- 61150) * FF,
o
Ju Rp =F => 9. = 2 ale ay
Far o5V autpat seqnad pnd
vb oS 9
& gown oF sys Ys et
So we Cam write Ys 0-5 Veg tol Ye
OF Mos} “ego O8- OF => Ys PY?
AlSoy Prem theathtr sides Vos +2-5¢ “no
Or Vog £3-0.5 mz vy, 6 2-5V
We design tye cieauly Cor lewtst pesrible
Vis Tho quonmactecd the devies eperolea ate
Scardica: Vyg= Veg
Vs = “bp - Rol, => Vgg Oo B= 3-Sonky
wo Syn B2-Vies
se | S
M509 From eq. 4 oFe 9u= Sip =o}
Vegay
ie xy BbeM 3%
Vos-3.8 | So
Veg Hav 9 Dg <0.034RA
Voge b4Foo.2= 1-24¥
wee Tp 2 onus
Aw paeox eat
.43
1
, aRolo Nope
— barAy== ot Sop)
eae ‘ov May
oO
Mininuer ys For edge of saturations
ae ee A ek
Mos TALLY Mag tM
Five Replace Ay wikk oO
ye. 26¥00-Ya) Y=»
Bae ae
* ‘ a“
=> Ye aM Pa yy ee BEY
r
‘OW Now
Vow Oy 4 Weg Oi iay?
1 a "
+ HY
Yoo
Yoon 3V > Gin20mY mice You ay 20.2"
eh $
Vy o SRt O02 4 WBS no.58y'
= V+ he ood —-
o2(3-9.63) 5.23.2,
Ayy = RLS=8 68) iy
sm ks
F tyetooMA=
Aye - akoto
Ve
Ryo 23-20 FL
23.2.2 info xo! o>
on
a R
Foe dik WV oe ha dx tooyte Wood
rE AEN bs a c
‘ ts :
Kaw Haley = SooxlOvo4a iB SN Ks OHA
Voy = 44-0.82 0-69
toey Cv) ty yh aeitiy—— CmAMA)OAL
ose “yee West] MI] 4] wit a
a N ) 3 2 1 toa] | az 2
& |W 1 [Lt Jat] os | Sq Z e |4
@ " wo e |? | 2 asd | lasso S | te
d uN o|6s 2 | jos] ¢[e]2oof 4 | 2
« " o.\ ? |e [eat tio 5 | od jit
vay |
Vogg 20) T¢VE (2-0-4) = 254
ial ot a
Ber = [Ep =? Bn = TE gn eh Seay,
dma ¥Tp2
3 Poi op PH PT 1S 125 SF
x Pons y 7 1 38 3 lO of ot to. . Epo =, o.7 ae = Son
toa
L Poot tas 7? a8 A, een Ay oh 3 ie (Sem Ton) = 10 BW
fF 4.73 418
2
Fa 70: g a 42K wo, oy We om
* wE _ ae
mk a> We 2d
aaa ae
v
Sm= 3 fe => ey de Sol = siyyehF
ow
4.74
ie
Ro
Lai
Vs
ie
o ®s
~Vs3
BSc BS
Ye Rat
YL. cBnWgs Rp Lg 8, Yam - ~ 3m bp
by oF Wag ARS Mn Rs
WAS
"pp
T= 5e0Hh
Re
Ve
a RL
Bp de Call Ry) = OA (iont[fioh) 2 BBY
Sor TatmA or twita+he current:
fe (Wes ¥e3*
Sy . NGS oe a Vo (YAY,
toa ors. Vel rey A eew
roo Wal sed cigoKn
fp od
Imp Fg, ¢ 0-2n 0-42 © oP
me 2D ao V = Apel
a v: vey ou
‘ow .
2
2 OM
Pies 4 #f 21 Foat5"s 22.01 2
= Wa = 222 2 2hoKR
Tp oa
Kao
x
2ne-l » 9.83Y
3
vet
14 ——
Refer te Fly. PUT.
Wee Sle os¥
2 1o45
4x a Wes Me)
gy
2.24 mAh,
= Iu =o OAM 0.048 Be Ay,
Mg = 3 Tym? age 5-31,
jar ty= Late tS-3h IF
Srlb-25£440%0 => TelmaA
es
2¥
vuis-3sza5"
p 5
47k
5 4) ae
toot kw Bay
The €qvoicon Fer the
Kemgemk line pasting
Grow pom aM aly
Com be wird Rem As:
tp -Tn ye She
(tp -45 2G,
The temgent inferssets the Voy aris at &
, . ‘
on LK MY, Aw ty by)
Me
“Be a ee <M mrt = the
The Slope of the tangent 199, aud ibis
equal to: =~ Sip. =Jp , 20
dn” Bee" VoyWae Ve Now
a
[4.74
td
For Phi Common Source aupliFier we have
= Sekt. Ry clk
Ine PB
Ratobtn. 5) Reign. Sin. ead Ry= 20K.
Fro = see 4g we hawt:
- Re ig, ea IR, I) =~ 2228 (seid
Kos Big
Way
4. Fo
6) Ay,= — 2 Wep=Vo} --2 LEAS? 5y,
Voy
b) iF Mis halwed (vyyse3) enea K,
by 4 be Ty 2 BS. 2 0125mA
feat
Ste Vy is kept vnchenged af 2.5¥ then
GRR yg 22Tp 20.56 AL
= Me te
—— Vou
is divided
ee x4 e reds 15 2 book
Ss
Vy he SOMA (without Fy)
nto account !
6) True take ry 6
£4 bo HRP =05 ( 600} 60%
2 24.3
y
Rowt = Roll = coded - 545K
‘e
4) Bi, = 8 he TM
Roe Rew Shee
& Ree fares
ve" Vo Riek, Amol 15e54S
Gy
c) As we fan See by redwing Wy te haltoF
“hy Weliaa oy eqn vokantly saulleip ly in Aron
current lay 4, Aye ie alwsost doubled, while
Rout is moltipied by *
As arewwit G, which is proportional tobeth
Aa, Omnd i * oaty shigrbly reduced.
Cg: aus Hy, before and it is 5.8y nod)
[aa |
Foran NMot commen qa. onpliRier wth
Smn= BMA Ros SkIL | R = Bee wR ean eae
have
Ry sd aL 20 2h Re Doo
ta? ——
Frown &q, 4.966 We trod thas the ovmalt
Voltage gow of tas smplibier is:
= TLSKU2) Lasky
Pe
Gea 3a (Road
139m Bag
TF we imerenae Hee baa carrest by a fackorh
4, BWM le eta nea Hin the other paramcter
tonsteme (gssuning Lint optachion), we hart?
Sue V2 RMT, me mas ftpe ofA o*
9, 14 Fale mA,
rm ae vr
Ry = ae sel km sleet
G2 de Roll 2to CHR) ney
« T4559 Telex
|
440
= z
Gon = foe 2 BASE Ly ance. as PY
Me ten Tete ae Ae
Ka A Ge = 450010 8 as =VO3, SAL a
Ey aloo ph mL WI43 5 x HEY, rly ao 25¥
Vpg #5" Y= Saturcken ,
= BID, 2 BBo MAY alee y eat
at Now See 79°55 Sap
oe
Xi aleeest fer rot
ANtErGq Noss+!
Bente = Gry * VO FD MAY
Ce Whi Cayo 20K00F KH o 4 SEF
| Cage BMG 4G = Rn DOn ats pH Be SL OEE
Cy 2 G43 FE
y+ See - 1 2 96 FF
me Vow Yam vie
® ay
Cy, 0 tbe oS LF
yr ae fi sy
BS
» 20p 2 hod coped,
dn Soa i
a oe 28 ns _ os GHe
Prillys 4 Ga BA (2045) 16%
4a
ft 5 Be dn = BAG MT
2riC G5 «C33 x
Also Gs 22 wl, iF Cas >> Say then
We Come jansre Ca, TF we replace For
dm ond Cys im the A. Formula ,ewe have:
fe = 4 2Ants Wp oh /Anto
2
Mx WL Coy. ALY 2¢we
| Therefore we coma see that the Mgher the
} Crrent Ty then the meg herls the 4. Alse
the Ere
Jueny js reverse proportional tothe
Se
Pe oF the deuce, (t. frigher Frequencies
Gre achievable For smaller ale vices.
—_
493
fe J- =
r Inlegs« Ga)
For Geo? Sa ane the over lap eopacttalee of
Gs eegheibly smalls Giz & whG,
Also gn, = 2ER = Ky Wh Noy
TF we substinde tm andegs in Q From the
above Formulas!
Fw Wa My
4ne
Ba EWU,
Therefore, fra given devia fs propostiova]
ta Voy A Fe Noy
For balfim yy cokt
Aes Be4Tonl6", 0.25 5 2.4 GH2
Sen ied ® — +
For Vay 205V +: fas Mo oh c 29 OS
é 2 o2s
a PGS
% Vove
——]——e_—qwK“«
4.94
Any e-2F MA Gse0 aPF, Cy, 20-\pF
Commen _ Source cankiqu rolen.
Eq. 41242 0 « “gst ga C149 my Ri).
Algo Ane ge, pthacehore i
Cig OS 4 Ole 14 27) = 3.1PF
Now ta Find the Munge oF Roig, that results
in 3-db FreguenGies over joHHe, we use
eq. 4.182. Fo ot
HinGn Rig
Th we neglect Ry ethect than Reno Rs:
2
aH !
fy zte => ——_,—_ bo tHE
Bate 3 tate Reg
=7 Reig & 5 peat
AIS: ||
Roig 21008 5 Ripe IOORR. CysalpE , Gyno 2p
Conk
R,
A eRe og, erg RoR (Ea 4a)
Meo Ray an CtollNoline
Also &;,, = wor =Re
in
AL 2 Ti80.
100.4100
Sc soF\l geil toh j=-6 Why
(Eq.44.132)
sont
Roig Re, srooitien
bie Cy + Gal de m)
Rate Ry WR, =
Cry sb .dg 14 S241) = 3-6 6PF
Now We tam Calulale fy
Gi ae lee BS
We" nad bbnl0 =p son10
Me
Tn order to double F,, we have to ectter
decrease €,. (vy recivcing Rout) Or reduce eB
by realucing R
in *
Te we ceduce Rowe il fo
fu Gioe 2s oe
fu, Cina i402 C14 3eRL)
4S . i k
WATE Reo Rout, = Be, Iie
ny 4st.
Therefore in Order to dodble fy to Stoxts
VAUMSA we have fe reduce Fuse Ro
tee HEE or equivalestiy, redveing Rte
D
L.5SEL\The ned midband gain useulad be:
Sess 2S ae Ayeela 23 aay
a a
ee ts aleigst redueed bya Foerer ot 3.
my Rs
TE we reduce R; as
Pus Rey ate Be ar Rig
Fay BSigz Reig>
mr ISK = look Re =r Re = 3ShtaRa
Trefore inorder co double fk, is
reduced bya FackeroF 3, From took te 33K
The new midband Gon would be:
Aen = Ren Retheg oy A) 6-ix Lb, foere
Art Re, Pearksy Me 3 33400
Begg =73.06 WA
Gol js ahwost reduced by afactorof 2+
446
jook Ry tok
Sacks A seb D
Rae 2AM, Bede Ala F
Cgse2PF Gy? SpE Ry
pe
A.using Eq. AM cad raking that Re =Rins
we hove
ea
hey areca Cte Wet Rd = Batt 2 olen)
Bus-!S Sy,
'
b) Eq-4.132 3 Fy “ae where
& Cy Org, cratl RpNR)) »Roeg eh,
=a"
ash +o Tetke a eetQien yo") yalhoad
a 2 OSM AM 9 yma s4ooun
= a B3a\"h?
W" Davidote io tynoouo*
[sar
CE we write Kel
ak made O
AFA
vy bode Lt
vamt Vy
shy
L4G s
Le BEE
[oot ees 33
tag. Yyst
Wag SR
: Bilt ares ep
Ri (is CS/a i)
LR GS +14 RES
Y f 1-3
—t— =- 8
Bn PHS CG + GIRL
Borin
1 SCe4 GORE
Reset
i
=)
FE acy hee,
oF (mtg)? = =f
25
For Gy+0.50F,G 2 2pF, a
Vo _ = Ait a
5 Tig off ee
H 2nless
= hs eit = Pt CFSE.
Enu(zrose S¥i0
fig IR IMME GL wd a ah
AVE
Eq. 4134 py ot
Fre Bpetona, — or Regs
Aanxjos_t
—t er CEE
ep, cial jars 5
Ta ensure that 5 fs net excaceling lone,
fy hao to be greater than. T.9énF or:
G2 BaF. rf C2 8nk wr ha V5 2
To lower fy Ry, hao be be increased, For hwest
possible F,, the langest armalable Re tno tobe.
Udeds Which tn Has case S$ toxl = [aM
Te toleudote the new fp for Ry woh.
fn. Row Rein, Ay 2 AAS bet yigit®
Fy Mgt Rey si Bare
£ 5 teduced by a factor of 56,
Cn
Tpelwa de VA}
UBing eq. 484 we have:
Aye =Sm Po Lixo
iH V+ Rs tind
HehBy,
v
£
mone
72 tL _
an(L HR) i
tye = IBS EME
° anyio( Nie*) ase ar
HE
ee
‘SER fora) *!
ac
» es 5 rc tate
a7 lon dre (lo i550 Se a
ee FOTME oof, = 7-6 2Hz
eee
For huiyher power designs , where Ty 1s ncreasedd
and Con teg usuHy ro aud Ry are reduced
For smallest % aad Ry where aR Rio
Ro betances domincasit sn determining. the.
Cerner brepusney
£ '
= ———_ = 22.75 Ha
ea atone ANG, CR
(ae
Refer ty Fg P4101 day # Trt hi,
R, not
Aye- ae — 4, CRoUR,) where Baie [INF
oe Rew
ci
Bag - B25 ty 4.75 10%) 23.46,
A E.3Fe0l a "
§ at (Bq. 4.134)
Pi
20G (Ret Reig)
fp, = ee ue
nm 2n wo.0lyis %y (8.25401) aie
POR ea Seg ott
Pees (RUE) Enatonio® (21%)
42
Fes * = = 3 7 08.3
206 yey esol Saya
i= 108.2 He
———— ——
Ala
TE gi stmay, and G= toonm:
Mes a In eR NRL) wehere. & a ibhye
K+ Pig R= Bast
- £25 _ Goch Hie — 3.0644,
7.25404
fy= mae, hee Reg Ragith wodi.ash
J ‘Sig = 0,0
Gas “9s Gated, “BIR lf d)
Gin = bro-2 ele | (oot 4 2 HON) = LezpF
he
S8is ene
2nxt.F2xi0 atvie® —
mm =
we use Eh Tapa equalen given te Table 46:
Tae = % (YE), (eae - Me
Theaw = dpa tte x ae ct _o 3)
Trea STEMR
| - 4 We |
Eqitiise by = ee he ul Bao)
: Ta wd oa le Me ant i]
2n905x0"
om ts ects
20K Lal 3 oF) 3-07 2 3 4
°
Forewula of Gq, 415%
Th we use Ake eshinaaion
7005
nies
os
fi
The valut obbained using ‘ite estab on Foraula
is flowee| Eq.41s7 is For UFO * Mop sbat
inp cise Wy =o-F29-23Uyp
We wwe the-estimalen Ferauslas For tpyrand
tory previded a Table 4.6:
& = Léc 1.6 x0.05210
PLY Te yy ~ bia pea» (eS
> 4, Yoo
ps
P
wy HHL £86 me yah a>, FS Aa he
bP
O.=4an
= bj and wr
Dg = Nyy 2.97 fin
bien
We thasse W;
Coola
RE Ves %Q =
ta Saturation why £,
Yoo woth Q, aad Q, are operaling
9! ren by
Fy =i (nv, e
2
From the sacall
There Fore
5 s¥
dp yee
cock device has G.. Given by J.
and "% given by ©
i ve
we hare assumed waked devices: Joa hede
Yop =Ton =,
fon =e
signal sacl aie
“yal Tage
J oalap) % et Lo ‘a
14.324,
“| ye
3 dy : °
oye FAME ee vo
14125 k =
Ria = PoKN
au
we have Kuss 2A) a yMpan3 Mo
AD
Vgg so DM, ae devia ie an cd
¢ _ 3M
Yes-%_ = 3 *
Q)VysolW Mpsso4 4 Vee veE => briode region
ine Ky L[es-WOMs vps |
ae asf 3K6 i= 40} sank
1 pgs 31> MegMe atalino oe wy
Le dxd ates
Veg eo
LM
Mpn-2V 0 MyM nav
apse t¥ Vos eva4-¥, er briadt
ro vals Qs hndent]
tye ML [OMI bog ] 2001 zd
4
pF FORMA
é Ww. q
TRow ts doubled with Lthe Sane: Gtee 72 22
tp,
mr {yp Bp B02 COOPA
TE Ww (s doubled aud t (4 alto doubled thea W
-
cematns the same and tharetore <p = toast
PIF Vygeth then Vag evs v, mredge of Satwribon
MEY,
in ey
ty eta ME OY bos
2
lee ) = Lv took 2 x(1+0.0142)
oN MA
If wis doubled and tts the Samay then
ty = LRG = R320
Thw (a dovbled amd Lis also coubled tenw
Shays thasome but “yb (5 dowbled or ~
Aquivaleskly A is Walved | Haus.
dg whe 2OoK 2 eCIFo Ole 2) mm MORAA
+ TF MoceBy, thin Yosgelyy =r safaroiven
‘pad nteo eT ee 2nd) = GANA
fPw is doubled aud L le tha Seve dy 424 =
dos BURMA
irwis devbted Gud Lis alsa doubled tea WL
shoye Onchowged y, is doubled, 4 is halved
0, = Crdavns) 2, 6-424 « Un0-0'9) uirua
Sor Ur As) Or 00% 3) —
# IRs oo” siren Vos > Mgs-lfe => saturation
ioe
Av doon el ise.02 x10} =4EDLA
iFuis doobled amd L istu some | ip= TEOMA
Fw isdovbled aud Lis doubled -4.. 48 (le0-alste)
7 o |e 02xi0
ty =H4e MA
WY
V,
TSN s=U . fer BEV, the deve willbe
to
ndveting. aud Since Upset CU the device
will be operating in the triode region and thes,
d
eKw Tew yet wT] *
[Greys ve] bac
l » ,
1K, a (FY) vB
For VEY,
exchange roles and tha MOSFET operates ite
pthe Source and drada
so aud os U5 which
es
imphes sabyrdlica ragion operalon
with igeh KV for UMM)
te
Res
For Vye-2¥ md KWL = 2A) a
cea fer vy w Sowa)
4 o-4 mA For ug-2V
--2¥
“4
wtery se Ms
nte Yo Lg | the MOSFET wilt be operating ix
the triode region
a 2 we
Hom Beye. MI Mpe = Mos |
=4fe 2. pit
2 78 [ENea Bb ugha toi ] £ vs
De hy Fld — By 2445 Law
2
Wy, 4420 ap HV, 4206
Va2 3.44 or 0.59
The First answer (snot papevenity siteaaing tol,
for ik results im V, -3.4 4M and heat implies
Gs*
Cutoff. Therefore: Ve 2054
Avot axcceptyble, for it results
<2.
Vpeud-S¥ is
i My eV AU » Therefore vy
Th we replace tis in Ds
LK, Me Gin dt =r KW alway?
Toss = EK wy zip eDagrat mA,
Ca
Tyas aK SEM mre LK ar KW. adnaly
Reker te Foy. P4120
Consider Q, Meg, =~ TpRi
Soya dK (Meg,
z
Lan 2alfggt 2007
z
-Y) mele
Vos ==
Rye
aA
elk g Rw Ry eh
Vg i egy Ry leak, ett
Ye@ Va Yeaam Tha =e Yosi~
Vewev thorns)
zr na-
og &
Nou TF Wye tit: Use Mm Yas) Pata YA
ayy EI
Sing trap, the Source follower has Zero
sPFsat. Q, enters cha triude region when
Vo eMs +1Ve] mr ye 6a2 ahh
GQ, euters the triode region Shen Ue ld42
Ye a-B¥ which correspends to WaSy
upg R, ot
Rite
Also note thadé tgs= Yi
Re
Rye Rs
ys =
w+ Rew
OT Ra Re
By subsbitubiag Far vgs la GO:
ee . a Bor Rs Git Sa oe
A+ Re Im a Rca Rt Re fo
4 dete 2¥, itdekt + +4)
Ue = 1g Ra :
o% t+ 9a Rit shah
datl MY te = Woe 78, 205% gia
Batok
te Goo an 'Fy,
tattoo ®
Mow we caludale R= Uo
ve
Op CR Ry) Cet OO = alge) Coll RS
Ugg 2p — Ry, ;
= (Ry Ry) Ge the
a ish ms
gm oHRl
Rin e Soapiooo + U+ix Feo) rdoltipook
PAT Cre® [ttea®)
Ry, = 600k.
ine
by te we write e
Kel for node
vg 9 Uy
at List
Se
sy Ub 20
¥
AlSo: Vg5=- Uy Ri _
Bon Mose Me
substitute For we ia
BS tet By
Raha RAR?
tae) Uden PI)
Us (L438
Ree +e
Oy LeSeett yi yl
Saezlood log 10
Now we find ale j
oe Cont.