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ii
Chapter 8 ~ Problems
Ap = A = loo
I+A6
Ap= jo oy = 994
lou
=> pe UY = 4qaqxi?
Azio*® Ap = _103
V1 (9-49 0103)
= 40.49
AAS _ 90-94-100 ae
ap ae
lew
te Hy ele * I+icop
=> pr doxis?
La Bn od
Pi aaa PB eT! lon
(€) dynount of feudback = 1+ Ag
= |r loo(onst) = 10 = toda
idy Vo = iove = loy
Vy = pY¥o =4oxtoFxto = o-g¥
Vi = ¥s-Vg = 1-9-9 = Oy
(Co Ap= Bo 3 VT
1+ BofAox1o-F)
4 1%-
AM . Qd&-w 2.44%
Ad le
by Age whe 103 /fr+ 1088)
=F B= fooxto&
2 = go} = Ike
(©) I4A@ = 19 IWe(qoorigt) = 10 = Zode
(a) Vg=o-bty
Yor WP¥5 = lay
Vd = pve = os xis bx oe = 4Omy
Vi = ¥s-¥p = Imo
&) A= Beou
= 8000 =
AE 1+ Boaof4ooxKiot) 15-6
AAL © q1s.¢-l00o 5 ag
By gee eee
All output voltage Is fea back 7 B= |
Ay = 108 = 0-44
[ +iooxy
I+ Ap = 1+ tooxt =lol Edolds
Va = 9:49Vs = 0:44y
Wo=V¥g-Vop =1-0°99 = lomy
A=% > yp, ao 0-984
AL= 1+ 4oxt =
AAG, O409— O99 Loy
4 0-44 = °
Yg= iv Vj = JOmY . Vo = lov
Ay =Wo/Vi}= lovfioms = (ooo
Vi =Vs-Vy = V¥s—BYo = I-piv
=> pe (1-6* le = 0-994
[ee]
i a el
ItAo@ Yast B BCI + Ags)
so Ay 4 VB wall be wali 2% when
'/ (Aop) = 0001 & 30
@) for I%t AaB? ‘4-01 = loo
Many possible satutiors
Lar Ag=lo® = Ags =100 > ps4
&) For 5%t Ap = Koos = 20 .
let Ay =t05 4 Agpo2o = p= 20
fey Fow 10%? Agé s Voy = te
Let Ap 2105 4 Apolo => f= tof
(4) Fei 50%: AQ = los = 2
4
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let As=105: Asp=2 => poaxios
Kenor Ao Aig I+ tof
“) Fe or
5 oF dw 21
to to lo "
Bo toS z 3
(a) For As =}: WES Be wee - = ly
a ody A +o
Ate =. = OSiw
ieieas
Afs =_ 1 OS vy
| t+ bey
| (bh) Fev Ag = 10 + Agi = le = 10 Wy
{ ro
Afi s de) Lew
J+ toy
Af, = lo = 0404 vy
1 Lie}
| (Foray = tows Af, = Jew _ poovy
f+o
Me = 1 Hie a
| daa
At? teu. o9gyy,
l+(o
G) For ke = Wl: At = tot _ el yy
bee
oom et = Lg
At ae, $9 uh
Ao! 2m —» ioy "
Ag = 10” (20 3v = S000 £14 ag
| Ap: 200mV —» lov
Ar = (Y(100) = Soo & 54d
Ap= Ao _ oso = bbe
14 p Ro I+ So0op
=> | + Sooop = 16
“> f= 9 /S000 = Oonfs~S4qB
(i+ Ab) F109 = tae
Acp
Ay = lee + 30% want Ape loo tly,
To Hduca % change iy Au tue nud
! ! Apa foeo
eae Gg FOE ag ete
For seayle stay Ap= A = IL otao
EO
i+AB, I+ag, Toe0 fo
Ba two stges A, = A
210
Cid threat)
splay
++ABe
=> (> AB) = lea, = foo
Thus tach stage has + 3299 %= 4 0.8%
Bub two smh stages meg gut TF O6% OK
[ Bis As = AB = too'l2
(b+ Ag By) = 10084 apts 3 216
New each stage hos toy J
Gain désenétivity factor = [1+ AB]
— Ae _ bs sss
= Taapp 7 bee =e?
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Save (9/siwo) =9 = 19-0%84B.
wit
Dead band nth be narrowed ty The pe
factor fF AB FE 1FA smc EI
and since A>], [HA > A
& $.22
=t7~v ts = Joopa , Tee FopA, ToHlOma
Az Te _ texw z 03
ar Aon T,-Tr (ven—Jay xo" “h
epee ae = 1M ha
1 4 Tm¥
end P= Te = fomh - Apa,
T. lOwa h
New Slope # gana = Ay = A
la
je = 0-99 3.25
. For Ye) for, Pa verg large & Fig 85
$.20 AV @li TeeTpe Since Te,=0
vay = Le + Ra] ts, + Tok
For Ac Nu/v;= to® (select lawed be) Voy = dpe gy Res
fo reduce» % chawge ow gttin by factor ef to == 4a Rel Isl Rit Re) loes]
ItAp = lo ep B= A/io® th o= Srna (¥pi-Vsr )
Foo Age (0%: Age = 1P4o = 10 = Gon [C= Gorn Pos) [Es (@t a)
For Ay = lo*: Age = A = tk = Toki
4 Ap 5 To er Fae La 2 (er es]
up = a af eae 10-98 Ts 1+ Fer Gone Res By + Goa
y4a(Yay Oy Ay = — Ei ou Bis (@)+Ra)
For Aq =O! Stays saturate _ By + eo Sms uy
For Mmy ty and A,=t02, to = lr, Geb
Fav fOmy i awd An = la?) vo = fy! | Rw= Ys 21g [Rr] +TeRr
Io! ee paseo Fe Ts [Bier + AS 21]
Jo Bi = Cpt Rae ALG,
GED
(by Whew Orn Rr) =o, Rislex, B= 4ek
avd Oa = SwAlv
[a2] — Roe 2+ Spun Sey (24 ee):
, Rit low. + ear Rey Er
Vg = lbumv Vie GSmy Yo lov = — jottiaofieo x tus)
Vp = Voovp = foe 95 = Sm . od + 8%5 » Toow if
Ay = Yo — lov ~ZKior VV = -— Gq sy, & Walp
vi TB my
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Lin Sle + Go -loke w1vk Oo
or we + Yor —4-Fxtok
= iv — 94-1 = OF
tc) % ele . 1 !
Ts
etn meg
Zara P *joFq0~ To
dr abow Ap w -lo = ~ "2
$24
Sunes — Gerut
Ves tvowy .¥o= ASmV | Ty 10m
VitVs-VE = loo -95 = Suv
VE = PTo > P= Gomv _ 4.5v
tum
As Ty = ioe 24 wan
d omy
| 3.28
Shunt- shunt
tse teued, Te =98 nA, vy etuy
AEYe = Vo (be. 6.
= —— SOF. a is
T Ts-Lpe (rov-9s)xtoé %
Be te =45 ph = 4S dy,
Yoo Wey
8.20
Ve
Be
gy Ne
Samus - shunt, Sample V,Mtum Ve
fever = 2)
Vo By+Fo
ASW «& M
Ys!
MeeVee Ao -MR2 LLM Re
KR AB I+pRafe, 14a
Aciweut
Service -Serus.
Beoeicemat
Bev¥ep = ert et ch = ¥l\(eires)
Fo By tRase
Az tm a = Zl
Ts Rr flere.) Bee x
A-ciradt
shunt-series 2 gehen Tp Semple To
Beivet | Asv 2 ultetr)
T. tatv Ty Rea rilRe
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dg . /CRatey
Ts Rus elfee
1 tala)
RrerliR, T+ le
| |
por Yeree) p
Section 8-4 The Series - Shunt
Feedback Amplibier
A, = A ~ie3e 2 2 9:95 ¥
FAB 1+ 2103 K04
Ry = RC i+AB) = lfaory TROL KR
Roy = Po flere) = ther = 497542
8.28
Here Po rs lowered by ammount of fed back
iz, (1+ APD = Bo
=p AB RTI
Ra = Lop (1+AB) = WtG05 BRA
8.29
Ap = lo4v/y 44 = Mite
2oABlde voile. dpe fy /hy= lOOH=
A= _ Ay, tot
I+ jtlte lj Ffee
loop gain = AGB = 108Go1) _ 105
l+jf/40 jf+(o0
2p =Bi(ives)= w4(i+ 2)
4 s T+}s7ieo
= ot + Ie egy s Ee.
I+ fF foo [+ skgc
Thus Ae
ie tom te
i
an nt
Fog = Re to*
2
tod 14 Fetus
f t
a te
Ea Ba 4 jul
1 tfwoon H
Ak fe 10%
[Big Cod] = fiat to? © IM
I+] Fe
| Pag (toy =
A fet05
[ HeCto8) |=
t
Is e Wn
to? Ta ia
tot + 10" 2 Mele
1+) 00 =
Sy) = ll eh
[ag (10%
t = 00s.
”
us Te jt
iz Ta
ey ee
‘ Te, + Vy = hy Tt hele
STS shat tha
© ru =¥] = elles = BER
thyee PR
fas Mt ae Bi
Velreu BitPe
has % | eo My
FWveeu Leake
hare «ll =r
Yalgen 4Pa
i) Fey] se hes Be
* Valpee Bite
& Bobi e
j hyg = 0-01
Spor BA, i Rios ai 0-99 e108
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4 RE
By
"
lor (2349-9) = 7-3 ka
= Ry (1419-929 = 14 ho
Ry = 118k |I[rea + Reallio)=ihiza
Por = Ru _ Oss
1419.47”
Sa
Seehon 8.5
Series- Series Feed back
G.36
For ABM): APE A A eae
[eA gee
het, BVP = Pep * Re}
To Ree Res Re,
= loox too
loos 64a Fe Ae
ue AES L284 pa (ch 987)
s Pp v
Yo. -Iokes .- 84x00
v v,
. Fs = 50.4% (ef son)
8-34
A=Gmn= looma/y (PE Ov IRA
Yin = WK) ray, SlooR
A-direncit
foe
te ea '
y E ton * FV, toon “AT,
ido
7 '
Vie vy) _ te - WY
(WO +OKILS 3
'
Lo = Gm¥, too = 30.284, eA
f0o+ lo# Bf
Aske 2 Bett may
vy
Ap = A 2 2e28 = Ts2%8
TAP | 1+30-28(0-10
Re = Ps+Riq+B, = Bota
Ria = B(1+AB) = (oF te
Rim = Rig -ky = NO BER
Ro = Ro + Ro + Ry = hay
Rol = Ro(l+ Af) = 443.40
Pout = Rof- Re = 433.402
$38
Fa Apo i: Tofvy = 1/p
Re samples Tofa oma Ve = TUR, Jo
Pr VE she 4 An
A: Areunt
Bs tow
+ +
ay Reet
[ nai
Rect -
Fon
Foe To mA yy
Vs We
voovy Zig aE toy, = ay.
Bs+Baeke Toorioy) i
Ty = Gmi Ws
Jove +(1+ 9) Folie)
To = (ptt, (@e 1%)
Re
ih (3+) (Reif) toox0.9 3 |
* | Fé ere a REA
i
yy : + + Cir p eZee) &
Atle on ANC xed egy Sieh
: CERIO
vy | fegss (a1 (1[loo)
Ar: te _ 37 = 0989 may
Ys (+ 97¥)
Thus Zoe B Te _ 0-989 x 0-99
Vs pH Vs
= o-99uay
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i Qp = lesmorl = Wi Kae
=a Rips eSB A7et kn
Bw = Big- 2, = WISEKS 4BM2
| Re (looking mate X¥ im A error)
| = fella + Ik +f.
pei
= (i |fteo) + Lees = l-owtee
Big Cr amphi cafait) = 1-025 * 88
ot = 4o-2kt
| our 240 [lap (402 lite] = PER
Ai
a 6.39
By = O%mAf2 = loupa
tg = OBA = Poop A
ah An = 2 JG ve (ein) ioe = iTopaly
“i es = 2% to [t9v/v) Bow = Joupdy
| Yor = Yad) = WOW/leopk = 1 Me
Va its = loov/seo,4> IZSKER
fog =
Ye, = Ve/t, = 25mV J toupA = 2500
Fes = Velty = Liev/Buph = Bisa
A-creuit
4 fx
as
hoe
es oe 4
® “4 qi v
J
ae
wll 15 7 ag Fe
ul As Tel xe Smiter, |
! Ve! @ Relitos
tg xlooo , ) aap:
ES a See
1 = bh L G4temw® _ W925;
13 Ys p> 6ee PN,
“| Yo Te (Melis) — F%SpA VIS
* Ve Vos ¥ rb
iil 2 ani, BI
BAG
C Assowe (2,482) >? rd)
af,= i
Vs
= ve - Ei TT yy
To re tea
Aecurmat
AfCrePe)
le A eR
reRy ra Py Re
Ap = Woe A
Ve l+Ap
A
(R40) + Ave)
ya Rae
=P vrekht@a 1
AD) Fe, = B
go when pe lot yry wa BPS
Ries IO
(ee toa) + to, (ep. ae
foo +100 41%
= s.
= ter a be ml
oo toe, laf a
1200
l= leo+ fae +toou (zou _ o.yeme
S lau x foo "Ip ~ y
Rls Gg ee, = lek +fo0 = Torte
Bag RL AG) = F/I Bay = 207K
Bu = Voll(Rus (ritead
= Jov|i (iese) = 41-3
Rags 85 (l+Ap) = 28 Ord = bg2.6at
(b) p = Ye/t) = Ter/f,= % Adv = (oor
Ap = tat /[Pfriwd+ eottov] = Mea
ArB =| ant CirAB)E Zh
2) = Ri lttaey > oi
By = 2( lev} fers) = /B2-2ue
eg a
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Sechun 8-6 The Shuit-shunt ana
Shuat Sevier Feedback fouphirere
ix bt Rg =Ro4e,
Od = ve
Az VW! = ~[RllQe] Leal] Im
rg
B.4] ApeYs = A = ~ Syn [Rule [Palo]
Ts AB 4 (AD (URS
Coronet
Accra = = 4m Bele | are
fore Raha” Basva
Ss (+ fom BeBe Rate To
RreRr Reve [ep ,
, , m= vo ding JR all.
in
45 (4 Re She sy Vn t P
e eT Ths Ye oe Re
Ts®x Vv) BRe Ra4es
Vee Ts (es [|e lve) = Reon) Fa = (jox+ im) ] 477m
le Vo = = eerie = PO 4m = aS M
% New Jn = 2 2K) 2. ome
B-Ceeeaat Vey O8-OL 962 ¥
pelp=- Ye = Va. Bev 230kn
Vo [Tra
a ey Hone A= “(ese ed pee] [ea thee] gn
a Oi pce, ea Bee
Ts l+age + Se Re = - tu tol m|) 4) [4am ]o. om]
IER” eee Re = — wl SEL2IR] vies
Ayn BY > -24ibo
i Av = Ye —£p I+AB = 14 (24t00% 1 j= és
Tots Rs agen diay
=. For Rost jee = 42k, Ree FE Ap = T2tiy . - 393) Ka
Aye HE 24 ane
10 Heme Yo Va = ~ 3492) k 9 3-84
Foe Ay = LS y/y “) tsl@emy Tota wy
Re = Ay®o= 7Sxte =78K eo = Belle = ¢ami/sox = 29.960
‘ Fog = RoC ieag) = 299/613 = ¢-96K
[a4] &," = (B+) Wee = Wieden = o.g3ma
hig = Ri flieap) = O-23/ 672 = lsewg
Ay rreait ve Rm = Rig Ry = Bb -toe =I2EK
Tn. Re ey
ie int | Bis Be) ve 43
eS J = E
Bin Eo
Bettie Gm =loemAlY , Raipae = 0, Renter = He
Petes *| Beet Rr= Wk, Rp = 100, Agr lox, Lp slik
¥p Re —
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Y = Lilteall + qq) xio* re = 661-75g
bia fwyt ZellicoesE
ra) TOB.SE 4+1le
=~ 4agxie® = — 4.39 Ma
=> VYo_ A as 4-35 eo”
Ve J4AR [4 4-39" 446
= —191. 86 x10 v/AK
Yo WL S19 vy
Vs [sks
Ry =(ifroolr4a je = Gb/-2e
Rif = Ri f228 =29 = Em lies
=> Bin 29.94
fo = He ffwosep2e = GER-2 2
Rog = Rout lle, = Co /22-8 = 290
=> Cut = 24-Ssn
a.449
p= -l/ge = -te4
TertlexelmeA > Veretey= 204
fyi ely ES 2SKA, Yor look
A ciraat
edt
poe Vex — - tell oll al 3ellteve)
Ver 25
x 13H |) lez
2s * 1-3 [len
= - 387 (e479) = - Me viv
Vo" _ (ise|| eee) tox] 2-Sic}(- 330)
Twn = -572 ke
=> Ye TS 5 OB ee
Tn [+ Silo)
Zu = tSe|[ tox} we le-se = Lak
Bin = Bip = Ise fogged = 29-70
Tow = 84. ve _ OTIS £ivty,
lease FSE|p1oe
= To 2 - 4.954 0778 = -PO By
Te
of, bx Bd Lod [Sigg 2, Ben
Sn.
8.50
Toft, = to ala Bat te Rut = Wk
Pro Thunt - seve topology
Ap= Te = tow
Tt,”
Ap = Au = jeu . oq ay
I Av Bp i+taofar)
Ri = ten
=> Bip =, fir de) = Ae Fut
Ro = toKSL
=> Pof = Po (H+ AB} = NO
8. SI!
Neguet TagiTp, 2 FSS = 2nd
Vac =0-7¥ . Me, st 4 ov
But nv a-e. cnmapomendh me Wis
hoTpe (mW Vs) = OT /1ok = 0-07 mA
Ts Dp = Teg + te) = 0-07 + o-002
= pe UTI mA
Vere O71 4loxeetd = adeoqzs (42
Tez = bh at/idet Oc 072 = (OZ A
Tae = Tet / (ped = Od A & 4 B08,
evade
Tay = ZupA-ltoonA = 0-00lws
low
Veu 20-7 +1Ox B09 = fry
fea = bal/o-juo #0007) slo-lmA
Tare tecifig) = (OA Fore [Ow
Ver = Yea +Vme = bul ep 2
Vp = 19 ~lo x Seo 5 4S
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Yay; = Meg Bev aeoa . feet TL
Te Oelmas
Peeke 2 le 4p o-0rss
Retee OK #1
Ae tieeial t pete
Vo
Ver = to.t & | toe), pitso)z's
= higeto? is
>To. gia x w? (p+) reo + wel] mo)
t! 1 280
” es eNO)
= 169 x10% A/a
Ap = Te _ A
- job eto?
Ty [4+Ap 1+ be bquic? x@-013¢)
= 64.6
> Vo TeRu _ $00, 64.6. aSuy
Vs dees ut
Be = wk iweleey 25K = 2 Ke
Bt = Re /Cisany = 420 . 250
“, 1473
<> = Bille
%, lias => Em = IIS
= &% Ne] €>
Nipleching, Lond tag
os
Here. a, =Smafy Fm = lma/y
Ros OK
Thus A = fora
Ag = kK ~ Sha
f+ tok Gu)
w= (Epilig)— 2p
Erg = Re/(i4+Ap) shunt =2p = sea
rT
Rouy = Ea /Ci+ap) = Ep = Stun
1
Sechon 8.7
Determining the Loop Gain
8-53
As Creu
Rs
Tao
VG “~~
1
Ve = ~[)well pend [ren + Goal SH RL) ]
Bam
x Tan
Cre, 4 (toll 2 ype
= [lowe e6e] os -3nae
& (665
Zo = Lim} Zl Rul ee sites’
= 6235
whith agiee walk privios Selufon
os4
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Ve = Yer
Vey = 7 Ter (elle)
Te = (pf e+) Ter = Tp Re /(@e+ve)
Ty = To =(ptdTe
Te, = beter
Be +(Prd[ ves tee +ellter)]
ter = GmV4
Coma avin
Ye = a ReCpn)
Ve Re el er[reas Re +(@elire dy}
x MRE (Fest. )
neers een
Vp =Vou aua Yeue0
Va = 9% 02-( Vor |Ivou )
Va=Vvaqa (Relies)
Cee lltes) +! Gang
ABs Vr = + %(realltus)/ ee lltos)
Ye (ellis) + 7 G08
sed
espe, ps PPE aces
abe Ry Ba : :
¥e-
Fo
Ria? Ret Rllee
Vgr0 _L 4. Same Joad
ve . Mm Rull(Re+Rill@e) | Filtre
Ve Pot Pell (Pe +PilRia) 22+ 8 lea
Far (R/+ye> 2p and Ria > ey
ard Ba <e By
Ye SMe RL 2 Ry
Yr By +R Ry) +Ra
=-—AG
Veo — ft _@eNee
er ot Auli Rr
Fee By ws Re
YR we A = - AB
Ve
tc)
Vs (+
su
Ye. pe [ritiees] | Re
ee
ty Ror ku aeleeas| 2reRa
For 1 <2 (2) +82) and Ko << Ri,
Yew ome Fi soap
Vr PLt+ Ry +22
[Now: drakrka at £2-¢ fs simpler —
Veo MR Lt
Yt kul Re Rot Re ty
(@)
Vit = Vr Pia
21+kia
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* AGH = te?
t+ jffiet
Prorl maipendtent of femeea
AUCIEy 18?
I+toP(or) ba
1of (1410 (0.1)
= 99
1+ J#/C 101x104)
ALi) = 4G vA
fay = tof (100) = Lorne
P 2 9.9 (siti)
Ag 249 ——
0 PS ERS re
fer REEL? §2fy = lomng
Pole fs shafted by (i+ Ab) @) = 10)
8.66
Aljp) = io?
t (i + f/wAty I Ff /105)
* fo) closed-loop pokes Gruen by
I+ AUB =o
WsMmg! \p $e
Fi. pr + p (iot+ iS) +(ieidpy iid =a
ona. praia) e + elem eyco
fompare dooms ta th
Cr feey® = pe > ting. b + deg
bbe = (hi xio®)
(I+ toF ByK1oF = tre
=> Spe = sisxiod
oud (141088) = B-025 eBxz0709167
&
(by Af) = 103
1+ 103 (d-o7sxio 3)
@sseuas (AGB) =)
=> Af (SsH&2)= AFI ~ 165.24,
i> | AB]
= 0.6%
{ec} frm S44 (Wofays + wd eh, above
A) Pr thixioSp + (tH wp) =o
=> pt tht xosp + 2-ayxietoy
4 pes peoSs [i o8 yh 4( erm)
z
= bee tj 27% 108
Zz
= -sesew4 + jrss x10? He
@ + IPL _ fies afar
2(SSetet TF
= |-3
8.67
ACjfl= _ te3
Cj fo) it] Ap ~
Apt) = le = Loo
[+107 &
~—P R= Ax Fuh
Maxiwally flat whim 6 = o-Jo] V5
dram
p+ p (fier) + C+ AO BI ({r fs) 20
Q = (Cistem hie
Bes fe
=> Vv Cie sp) 10 fp ex
lo + fpr va
> fet + (217M 4 we
= oat teamtak
> fox =1&xw? 4 /Gs x13)? 4(106)
Fs
= IP ASH.
8.68
% ps yo lee
i i
t= sev a VE VW +scevy,
is =Vy (l+sce)
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==
a
SS
By ket; Fuso at Vv
ae CEME=¥) Wait 2 ey
‘[se fe 2 o
Ksevp — sevy(l+scR)>
= Ur (sce 4s
+ we ie
Calitching Hommes
K SCVERS vy {( scry +2sce + 11
Tons Lte) A - vr /ve
= —Kfee 5s
aes
st 4 28 + 1
ee ce ®
= —-fer s
st +(2)8 * bagt
a
wo = Mfr
a — |
Dhele
fpokts comet whim @ = 1/2
=> RK = 21-2 = ol
ore vsbetle
maximally fod when @ = Wa
= KEdhl- |4i4= 0-686
OS lIOkKS wWhin Q—S w&
= if Sel
ss
Aljf) = _K
{+ 35 fot
fo Belt Ap = B36 ee 4
Cle yHindy OF ihe)
Fov escillohens +
[Ap 1 1 at fra ( Ag) = [80"
it, ++"! (4 1g \= Gv*
=)
=? Fito = Ve <0 HE
oe z
“pe Sl Se RSeZ
Vt QS3*
fase = fies = (13 MHz.
Sactorn 8.10
Stability Shady using Bede Plots
&. T°
AG = _tv%
[or hftu
fe pel: AB =_1o*
L+jfie
fu fr lor |Ap) & Ww % 1
fr
=> 4, = Ime L
ad fy: phase matgin = [Bot awe
= Yo?
3. 71 =
ALD = 1S =
Chr faust shea)
Ap) =F Bs
ApG) = leo = WF 9 Bx 6-0
jaws
lApl=1 => | 1+ MAel- 11+) 4/104)
= tee = us
(1+ Halt ives) = lo®
f + +f*( jot+ioty — (io8 ig) tot = ©
fen io® aia jolG BRIO
2
> olf a 10% Sf = TAbKHe
Phase money ‘ 7
= — (ton! BEKO toe! 18
180— (- waste ie i
@ o- Gof 2e-[e" = 6 ]-g"
Fei Fm > 45°: town Ffna <4ee
= fis lo*
Tae eye wee
Melt = irae Tr
=> = Fjgo = 0-014 |
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Lise] =| 14 cos —jsne]
= [C+ cos 8) 4 (simu y* ]
= [tt Qeose 4088 + Lacoste] e
= At (j+eon 8%
lees = 1
os" (a)
avd Pm =lBo- 0 = S697"
fo! Sto’ = o-4S35
B=1t3.e
: 4 -L. =-p:
Soe jo% 2 14+ cose Tit) Dose
@ = 125.48" ond P= S407"
Pfu otaa 21" @ one
r ‘cosB = 1 eH) = Teste
BCL ONG?
P= 120.26" ana Pm= S924?
taB = woe. pian
coob = 1 —l = —0.bo2g
Ss
aan
B= 127-07" ow) Pm = 52-93
CUE SE Mead)
Belex tee
Assune B idapmatul of Festi
Se4e° pm) 8 elte-4e
tow! 1 tow dy + fant. Bs"
tod Blbx toe to
Dehe =e J) = Bex S He
[ApGa >] = 1 = 107 B
W140. 32. Safes"
Pi Risch xyerk
BAe. ae = 164x003
t+ 10 (4-4x10r&)
e
B14
pe Yse |}
Be/ec 1+SCR
ag) =
Te JWR ECE
Aljf) = _le?
Cad Yin)
dn inf I}
From skekch we netd
Bo t =| =A =
tahew ®
= kee Av 2 0 cg tas
In bps Tay too ~ ts =
Ad iMHa Pong, ( #5 ==?
Angas *-taw!l —tay! ot a
= 46-59 = -So-7"
"Pm Igo- (90 459-9) = 39.22
Gain margin exists at Otay
thon waegs 7 tel > to"
to7
faves = i = quometne mean
= 3-leMHe
\ Ap (hte) = 4a \aqiA}~ 20 loq\ fa)
[A] has law lodb IB} has Hsin Ogg
Mas GM = +16 - (-10) = go db =
3-13
Fer qe’ Pm:
tan! Fa toe +o f1 = Gov =
To? ioe io?
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