Eletrônica 2

Prévia do material em texto

Semester : 2018/1
1)
06/03
: Apreseutagas do cwss + Revises B)
08/05
: Amp : aarga ativa .
2708/03
: Operasjao do MOSFET . ( Baker , 6) b)
10/05
: Amp : eascode .
3)
13/03
: mfodehagem : peq . Simon 's + impedomeias . (9)
2715/05
: Amp : drew common com corgaativa .
4)
15/03
: nyodehagem : eapacitancias .
22717105
:
5)
20/03
: DATE spice
:
 methst + Amortises
23122/05
: Amp . diferenaal .
6)
22/03
: DATE SPICE: modebstsnbcirc . + Exemp . 4)
24/05
: Amp . diferenciol .
7)
27103
: Espelhos de corrente
25129/05
: Amp . Op : do is estagios
8) 29/03 : Retereucia de corrente :p multiplier .2431105
: Feriado
9) •
3104
: Retereucia de corrente :p multiplier . A)
05/06
: Amp . Op : do is estagios .1905104: Espelho cascade .2%7/06: Amp . Ap : do is estagios .4)
10104
: Espelho cascade .29112/06: Amp . Op : estagio de saioha .
A
12/09
: Circuits de poherizagas .
3919/06
: OFA
.
B)
171
oh Circuits de poherizagas .
31119106
: nfelhorameuto de gauho . ( Pz )
k )
19/09
Amp : fonte common
32721/06
: Chave MOS
15)
24/03
: Amp : gate e drew csmuus .
33126/06
:
16)
26/04
: Prova 1
3428/06
: Prova 3
A)
01/05
: Feriaob
35103/07
: -
is)
03/05
: Amp : corga 
ativa
.
3645/07
: Prova substitution
.
txecugas does auhas
# I Apresentagao da discipline + Revista de circuits eleitricos
( dispositions linens e restrigoes topological )
# 2 Fried baisiaa do transistor Mos + models da
region de triads .
# 3 Fisiaa beisiaa do transistor Most models aha region
de saturagas .
# 4 Transcondutatucia e impedoincias aaracteristiaas ,
# 5 Diode - connected & SPICE .
# 6 spice -
gun , ro , pohorizagas de amptifieadares
#t spice . dispositivos de carnal Curto , corrente de
saida de am amptificaobr , eteito de capo +
espelhos de corrente .
Is PMB + espehhss PMOS + refereircia de corrente
bootstrap .
A- 9 Espelho cascade
It Io Revista goal
# 11 Espelhos cascade .
# ' 2 Poharizagao do espehho cascade .
# 13 Hmphitieadores , distorgao , Zin , Zout , Ganhs , Fonte osmium
# 14 Drews e Porta common
I 15 Revisers goal .
# 16 Prova I
# it Respssta emtrequincia , de omde vein os potos e
zeros do circuits ?
# 18 Efeito Miller , capacitanceas porasitarias , respssta
em treqwucia do fonte eomnm .
# is Respsta an freq . do push - pull .
# zo Amp . Cascade .
# 21 Amp . difereucial : principio , PSRR .
¥22 Pordifereueial : topologies beisiea .
S G D
Anha 1 y¥ a In'tLet = + ↳,mfodebs para o - s
transistor Mos .
→ Auoihse qualitative da tensas de limiar .
→
Derivasas da caracteristieo tensor - corrente .
Q= C. V
I - Qd . v÷±t¥¥*¥"
#E¥Ii- IT- x -Qd= W . C. × ( Vgs - Vn+) T
Qd ( x ) - W . Cox ( Vgs - Vah - Vat) Cox 
=E=
tax
( cargoes
 negatives .
I # - W . Cox (Vgs - Vex) - Vn+)r .
v=µE .
E = - dYdx | It W . Cox (Vgs - VCA - Vn+)µm . °Vf¥
Sabana que Koto e VC D= ↳ s . Integrands :
¥¥p .dx= )⇐?hcaµn( vgs - Veh - Vn+)dV
Coms ID I constante as Longo do canal :
ID=µn Cox Wz ((Vgs -VNDVDS - Bzw]
£µVDs
→ Pinch . off
L Vgs - VTH
ftp.dx-f.on.com/Vgs-Vca)-Vn+)dV
ID
-I ,s=tzµncoxnf ( vgs - VTHT ↳s
Modulates de enamel : L' =L - AL VDSP : BLP :L 'd
: IP
adf.tt#mncoxnfzlYstntt.drIo.s=tIs.tftdw)EseslhendsI=lzddnf
:C
models linear ) :
I ,s=£µncoxwz
1 Vgs - VMDZ ( 1+1 Voss )
Its
⇐
.
Models matemoitico d Corte : Vgssvnt ii. o
do transistor Mos .
2) Triodoi Vgs > VTA}
↳ . vgs.vn
'
'
* "n¥[Cvgsttaths . y± ]
3) Satnragas :| Vgs
> Vnt in zlknwq (Vgs - VTHT ( HA↳s)
V , > Vgstnt
(
Trioob
Irs ~ ;
"
Kim t÷Esa÷
Ma region de trioob , para vwiagfes pequemas de
tensas Vgs :
It f
per↳ ⇒ tale tr .
in knhf [ (vgs - Vn+)Ys - V;I ]
Ron.tt#hI.(knhEflrgsttatnDt*.T=knwfg.
)
Amortise da transcondntaucia :
ftp.tgtigm-dit D Corte : iro → gun . o .
drgs
2) Jrioob : i. = µmCoxq[ ( vgs - Vn+)bs - k¥ ]
gun
= Mm Coxhf VDS
3) Satwagas : its = lzpimcoxw ( Vgs
- VTHT ( 1+1 Voss)
gm=µnGx¥ . (Vgs - VtH) ( 1 + Jhss )
gm
Tnncahf ( vgs - VND .
/¥↳
.
Amortise
dasimpedoinciascaractoTetiaas.Csatnragasd.vgsiqY5E2.fffFdtDGate.ig-o-Zg-n.iD1zDrenoiip-IpnCoxwlvgsttnF4tHh@HIhqysdzimDz-tzMnCoxhflVgs-VntT.beIb.J
.
Zs = y.IE
,
→ alter impedoincia .
3) Fonte :
qq.MG#jMErisis=ttzuncoxwlvgtstnd2dq=tzpmCoxhf2(Vgs-Vn+)
. G)
Zs = = = 1- → baixa
Mncoxwq (Vgs . VMD gun impedimenta .
4) Diode . connected :
,tgEF¥↳
i*£m↳¥ ( G-ktt . tznneoxwlnsnmp
¥↳s= µmcox¥ ( Vgs - VTH) → Zdc= 11gun
vgs
- Va → sempre 
satnradoto
baixaimpedoincia
)
Modelo de pequeno simon 's
+
- - . - - - - = .
.
r
- -
;
•
-1,
i
1
toimgur.FM= His'fin , Zin gmrw toptrout •l¥lgoof#
(
1-
. . . . - - . -
t
Zin - Zs =P gun - djjdgs Zout # yet
,
gbrout =o→ gb=o
V%--p-VDt.gs §gmrgs }a- reset.
OVS
Espelhos de
corrente
+
qgtgti
's
= § , ,
Como germ a tensas Vgs
para obto mud determinate
tenses ?
Amal o valor desta tensors ?
ii. lzknwz ( Vgs - VTHP
→
Vgs=µn2IwIfl + VTH .
A muameira usual e
'
imyeter corrente am
owtro transistor e
"
copies
"
a tenses .
¥oI§uMg.sn#.tiJmkdeurrmteSupomob a mnesma tecwobgia :
pbvizagao vgs = ,2wtIy÷M
+ VTH
io - {knyl;(,}ni÷yN + Hit
- VTHT
is - i. ¥
WYLS
E coms geramos a corrente is
?
VDD
1) Resistor :
R } time tio inert Yirvgs
a:#I R
- vgs ieaezknw (
vgs.VN#ttks)I*Ei"
VTH
Pdorizagao da Fonte de corrente :
"
t.irmij.EI.mn#mi; ↳Eu→=i#
!¥p÷÷iIE÷÷÷¥:Y;D±¥¥\*
.
-
ir¥2ynm±f=Y¥
-
Ytf
(
A corrente de retoencia
depends :#to tensors de atimeutagin .
2) Bootstrap :
mPpqt•t£y[m3
Ms - Ma :
'
to = NIREF
|
Esse sisteeua
theft ti . Ma - Ms : i # = ¥is apresentaintimitas
m , {7*11} mz sshrzfes .
-
1 in 1
Tamas desbahancear a circuits para gear novas
restrigfes :
in
lkti Vgs , = Vrtvgsz"
*mti§ddtmi:
sina.tt#=iortiEnftt
#
+
Vgsz 1 1±g¥tfR
gamosimporiario :
E÷FE÷r÷r=ior, IKnight's'Fn . ion - amigo, ' ' ' tat . ii. '22I ,
2
is = -2 ( 1-In) → Peruba que se N -1 , i. =o .
122
. Knwz
,
'
Impsurss irer.io usamdo win Segundo espelho de
corrente :
¥' ED Peruba , aimda , que se
M¥1-l[g£•M3iron o → rays ,=l → rrtrgsso →irttt , tirimxmfzlf.FI#gmyrgsz . - ur → is - o .
↳ Precisamos modifier a
circuits para que eh csmsiga
"
liger
"
emtounaticamente .
Vm, IDD
VDD
- I " is J 1) Msus inicia em corte .
Msn by.gl#=EY. 2) A porta de Msn ten tense
Msu, §1-•
g¥#E1§gy
entire those Vms - Vntp → Msu }
wndnz .
3) Msu } reduz a tenses was
port as dos Pmos e anmenta
was dos NMOS
.
4) Msu , eventual Wente csmega a conduzir e
reduz a tenses una porta de M.su } .
5) Provirus do points de operagas desejaob , Msu }
intra em corte e a circuits opera and
Corrente
progetadha .
cascading → mfodeb de peqwuos simons .
tianya.EE?t:ans
take §gmrg.agro
nano
Para anmenter a impedoiucia de saida
aha fonte de corrente podemss wtihzor men
amplification porta - csmmn :
a Nout
•
Ii out
Vgot# +
tsmz° Vin tgse /
itEm,
V.gs ,
← iout .
Vgzo
-
Mo_§gma } roz vgz £• -•- g--•|= vg.org#IIE
%o=§gm%TfrT
Furton
-1
⇐ . :÷ff÷oT
Vgsz = 0 - io.ro ,
io= gmz . C- io.ro ,) + %+ir°or÷ impedancia original
i. ( I + gmz.ro, - IF)=dr÷z \ ganhogbmnprmta.
Zoe ?o÷= roztgmzro , .ro - ro , IT Zorro ,
.gmz.roz~
inert
.y.Como gerar as trio dual I a memoir tensors deM3 1-11 } Ms
tenses de phwizagis ¥1 saida que aimdarmautem am•§Tt15mz satwags ?1Nout= Vbszt Vpsq VDS > Vgs - VTH
Vss = Vgss → Vga = Vgs , + Vgs }
...VDSZ = Vps
,
SAT . 
→ ✓gsq= (Vgs , +Vgsz) - VD5,
Satz
Vdsg > Vgsg - VTH , ⇒ Vpsq
> Vgs , + Vgs }
- VDS
, SAT ,
- Vnta
V out Vpsh + Vps
, sat ,
> Vgs ,
+ (Vgss -VtHg)E Vgs , + ↳ ,sAt .
= 2kg
, SAT
 + VTH
problenna . ..9
Repave que 
os transistors Mze Ma reguereur
someute Vo > 2V•s,s# , was qhe a tspshogia do
circuits de pohorizazoa fez con que a tensors
minima fosse aumentada de Vnt . A figura
Vg=2↳µ*+wµ 1-
YKSAT
M°stnA as mlwores tenses paraA↳ m } polarizer o circuits . Para gerartibia
a Vgsz wsamos run diode connectedt.gs#tVTEgmz
como anterior Mente . Para VGSA 1
ayustamss out.no transistor .
T
T Vbs ,sAt= Vgs - VTH
Iref @ QIREF tl° M 3) Ipoe = Izkn W÷g ( 2 Vis, sat + VTH - ¥2
Ms}T•:-# ma'IF ,
bait
in
- -
;
m¥Tb#tymz I'*=Ikn;Y÷. 3:( vgs . vn+)2
W - J
1- I : N
4
mg ) Ieee = lzkn WI (Visit
#
+ VTH - VTHT
Para a mesma corrente :
4. I↳3=w÷
,
Iran 'zknI¥Iifvgs- VTHT
Em goal , e
' melhar anmentov a l dos circuits DC :
↳ = 4. Ls
Esse resultants polarizer Mq no limit da region
de triodo
. Por seguranga wale a pema Lazer .
↳ = 5. L , psnqne podeuros drawer corrente no
draws de Mz .
Profeta de canal Em teens logia de carnal Curto , Vis, sat tugs - Vnt .
icurto Akin disso
,
a corrente E been man's sensivel
as valor de Vss .
PVgs=FEE
+ Vnt a) A impedance de saida do cascade neo E alta
1
a suficiente . Corrigimros isso levauobMg a mnasatnragas man's intensa (vgsat → Va! ) Para taunts , aumentamss Vga fazendo ↳ > 54 . Unna boa tentative I↳ - 25.4 .
b) A corrente de saida tiaa
"
descasada " pois
Vast Vaz . A arrests anterior ameniza a problems,
Mas podemos methorar reduzimob Voss . fayemos isss
introdnzimdo mura nova queda de tensors :
TIref @ §Iref Itsmethods'm .they, Ms ,be it
±
,M' #tymz
L ,
1 1 : N
No firm does eontas
,
um circuits de pherigagn
seroi :
Estetttositaeotei
. - - - - - ,
1
- (
- - - -
. . i J I
J , Ms
Vbiasp
,
±i¥÷÷¥÷if±.in#tIEtiIifa*iI*Eit*iiEieei*ia"
l
, 4Th:Fh-rnasm
,
•,-
how
, fit
'T
Vbiasn
,
1
,
i.
. - - - -
- -
- -
- . - . . .
,
Hmptiticadores → Topologies boisiaas
:
em toobs os easos , qneremos
Mos • s transistors nor saturagas .
1) Fonte common :IDBirftgkTout = VDD - ip . RD
Win
-0 Now
←
Esytiis
route Vm - tzknwz [ Wgs - Vht ) + 
' tin ]2 . 12 ,
= Vw - Ejlknw[ (Vgs -VntT+2( vgs - Vat) . Vint ring
→ Owereuvos distargn minima : vii. s Zlvgs - VH) . viw
Ninos 2(Vgs - VTH)
condign de pequeno 
simoes
RD . ID gun
- -
Asim : rout = Vms - Rziknty ( Vgs- VTHT - Ksknwqlvgs - Vntlvin
-pronto de operagat sina.de saida
Detimimnos o ganhoi Av=£voutdvn = - gun . Rb .
Repave que na condign de pequeno simons a
amphficoedor E am sistama linear . Podunos pre -
calcuhor mm models linear para o transistor :
did E isso a queG 0 - ← D
_¥g.§gm . dvgsgr. acomtece qmauob
s
-•-•_ realizoumos a auoilise
5
AC no simulator .
Dessa former
,
do ponto de vista do simal :
di out
NHEK .
IF
easing .
:*
.
→±
VDD e
' constante : dV⇒=o }
LKC no no
' de said :
gun
.
dvin + dogs + dyz.ge to → gmdvin + draw (d.) = o .
→
dvout - - gun . ( RDH ro ) .
dvin ro em Paralelo
com KD
Are
dgge÷n - - gun
( r.hr . ) laltoganhd .
↳ I → V
↳ v → IS
A
impedoiuciadeentraahaseroiizinfdjiimnnnfinlaHaimpedoineiattimpedoiueiadsn5desaida.7outt@gyzy-r.HRislaHaimpedoiuciaPercebaqneoganhsseroidaobpeherimpediauciadomsdesaida.us
 alto gamho
regner
alter impeddmcia
'
I
2) Drano common :
r.TL?gdzq.r.... →
I¥n§3et.FI#Iout
LKC no no
' de saidoe :
gm.dvg.to#e)+foIrl- o .Rs
gm . ( dvin - dvout) - dwt ( rate) = o
gun
.drin= dvoot (toast atm)
lbaixogayhd
dftnt = Gm- = gm(r°"rs)_ as .
gmt
 I1tgmlro11Rsro11RsAimpedoinciadaentraahasereiitine@jignft-nlaHaimpedoinciaAimpedoineiadesaidaLiaeildvin.o
)
7oute@ziqtuft-gm.dvgs-dvoot.f.YqDtdiour-ogmtdvouA-dvourHate-diouidjgf-gmtr.k
,r ,
a gun →
sntatgnlbaixa
 impedoinciaf
3) Parter common :
VDD
} ' ↳
retain
" . Fiw⇒.si?ji.zrtr.oo.
• Ganho :
-
gm .
Ivin + (droutr÷n)+d¥÷ - o .
doin ( gntjt. ) -
door
ftp.t#.dvourfI.)dgygn=( Ymtrto) ( roll RD a gun ( r.HR . )
( alto ganhd
•
Impediancia de entrada
di in + gmfdvin + ( dvout - dvinatq
↳
dvout =
gm . @HRD . dvin
diin - doin ( gmtftg - guerrilla ) a doin . gm
7 in = doing E 1-
\
consider undo ro grande .
diin Gm ( baixa impedoincia)
•
Impedoiucia de saidor : dvin=o .
Zout = roll Rb ( alter imrpedoiucia) .
Ampliticaobr Topologies boisiaa ( aassode telescopes )
cascode
Vis
tlgmmovour
t.IE#hnggTtat
Vb •
ottg gin
fix
HE ¥ gun,
Vin 1 1
LKC no no
' Vx : ii+iz= guns .
dvin
t
• eleits de
LKC no no
' de saioha : iitiz + dYz÷ut=o corps moo
influence !
6
gmedrin + d[;÷=o Av= - gm, . RD
Com front de corrente : a transistor Ms )
- controls oganhs !
&Ig
onodrrout .
vstrout
T
_§gI}r• .
←1↳
→
-single day
. t.hr1 _&gT}r°i
1-
LKC em Vti gun dvin +V¥=o 
→ Vx= - ra , guns .
dvin
LKC an Tout : - gmz . Vx 
+ dNou=Vt =o
✓ oz
roigmsgmzdoin + Goyt + rr÷ . gmsdoineo impedoinaaobeasaode
.
~
Av= - guns ( rostra .roz . gmz ) a - gwslroiroz . gmz )
Aimpedancia
¥1
'[m3
$v= - gms.Z.in . datomtenas
nontower E alter osnticiente .ot↳m 2/ Z out - to , .roz . gmz H to } a -83 .ringEgm, -
Vbpl
I←1LMa Hv= - gm , .Zout .
VbP2←¥yM3vbnz$-6
"
'Zout.ro, .ru .gmzHr•a.ro } . gmz .otlsmzsin←¥ym
, =£zr°a.r°3.gm3 .
Amplification
- Simal single . ended - mediob em rehagao a mm
ditoeucial .
pstencialtixa-Simalditerencial.medidseutredoismssqneapresentamexaersaoigmalouopsstaemtorusdeumpotencialtixo.bTantagens.admaiarexcurs@desiwallpstencia1mentennaiorqneateushsdealimentagrhbimunidoudeainterterInciaspFIIoxttzvx.v.us
 wtt Van '
e
- the - Vo . cos wt + Vcm
Vxx = Vx - try = ZVO cos wt
+§mEn¥±t¥µYI . ¥FEt*- D=' ¥§§ " it+39 .- KMt r
-
Dom÷¥¥¥nn
→ - W
psrr = Are ~ gmho
da entrada
para a saioha
Avm
, - gomhs aha atimentagas para a saida .
VDD
Are ' gm . RD
¥2
's
- ←qq.tn?routdrout=drnjrIz,thy & " ten
.
An
... I as
to + RD
PSRRE
gun
.
 RD .
#
Vbopyrt
Av= -
gmsfrozllro
, )
[ Mzanother
→
E#ifeng.to
.
todayF_§Fjio
,
q
-
gmz . drnst draft - drug + dy÷r=o .
Ivor # + ⇒ = drnsfgmzt ⇒
Arm - Gnat = ( gmzt ⇒ ( ramrod .
I
atr÷z + Fo, units 
rmimo
" " ⇐ greying
. ,
. wrongheaded,Gmz
Torque?
Em goal, para alto PSRR precisamss die sailors
diferenciais
.
Per diferencial galterao ganho
.
MY} ÷ "
Tragedy
} a.
' mom →
dyes
→ Agm , , Agm .
3
Dvoutem '/ t altoaaexenrsas
desaidor
.
Oweremos modified a circuits de former que
as corrientes de poherizagas sejam independents do
Nincm -
VID Vin IN + Ipz = Iss
R ,
I
TJin -fromvn•ffB4↳;] torinz
| Vp
*
In
t
→ Amatise qualitative - on . row .
" "
iIf@ih.I
" " "÷
farm
"
÷
... "
(
moo depudem de vincm .
{
Temptation
Nin
,
- Vinz - 0 .
Win
, 
= Vinz s Jincm :
TT} }
Vincent 0 → Is = Ibz = 0 → Tout ,=Voutz=VD
-15mimph
I , , , In
↳
Vp=o .↳ :Ikethen
VM £
vgs , + (vgs } - VTH 3) .
satwagas :
Viss > Vgs
- VTH → Vout - Vp > Vinem - Vp - Vnt
Vinous ✓ out - VTH
Vincms VDD - II. RD - VFH
Vgs
> Vnt → Vina - Vp > Vnts
Vincm > Vp + VTH , = VDSAT, + VTHI
Omari grande E a excuses de saida ?
Assumer Vinous Voutcm
Vincm bnixo permit
Teasers: uaf¥n÷t[#Esn.
\
A tensors moirimna de saioha pode subir
ate Vin , was pode dearer ssmente ate
Vinem - VTH
.
↳ s Vgs - Vnt → Vout - Vp > Vincm - Vp - VTH
Vout > Vincm - VTH
.
✓
DDltmaihse-
y
Gmeremos determiner
quantitative R , Arout -- root , - Jourz an
adf.Ifua.at
.
riµl}gro%"
"
¥
"
terms . dear ,w=
+
vgs,
.
rp§HF" Nin , - rinz .A.Vgs,1 Fouta Va - Its, . RD@ Iss Noutz=VgrID2.RDI
Ar•u+=Ro( In - IDD .
Vgss= Tins - Vp
Vgs , Vinz
. vp
⇒ Vgsi
' Vgsz - Vin , - rinz .
Consider auob os transistors nor
satwagas :
Itrlzknwz ( Vgs
- VTHT → Vgt,}gIf + Vat .
::÷÷¥÷f:¥F
televauab os dois hados da eguasjas
no gmadrado :
(Nine
,
- rind =
,2zIw'÷
- 4-
FIXIT
+
ZtipzkwKWL L
LKC : Ip , + Ipz - Iss :
( vin
,
- rind =
g- (
'
Iss - 2 FEIT ) .
Rearrangamebi
tzknf ( Vin , - Ninth - Iss = - 2 FEIT .
Etevaueb ambos as haobs did egwafio
as qmadrado :
÷|kwz)2 ( rin , - rind
"
-
Kwz
( tin
,
- Vinal
. Iss + Is } = 4 In . In
Perceba que podemos raescrever
%
him
.
Isz = ( Ix , + Is 2) 2- ( Ip , - In )2= Isi - ( In - In ) i
( Ii , - IBM = ¥ ( Ky)2 ( Jin ,
- rind + Iss
. Kwq ( Jin , - Nind
( In -Into y (k¥5 Win,
- rind ( ,}I±÷
- Win
,
- Vina )2]
In - In - lzkwz ( tin
- rind MET,finzT . ( * * )
-
In - Ins tzkhf DIES Arif - Brin
Podemos
agora
calendar an equivalent
did transcomdutancia para or caso
difoencial :
Gm -
IBJDIBV
in
=±zk¥±z(h,I÷w avinz
- Arinhjk . ( 8Ey÷ Brin - hatin )
= 
Bzkwq (93¥ Avin - zdvinp )
Feener
- Ftn
÷of
= Izknq
43¥ -
2dvin2
Gm
-
( * * *$
kt±÷-arinzM # DVIN
Repave que a trauscsndutaiscia ditven
cial serai moiinma gwamdo Bvinoo :
Gmm•×= KWIISSM
Animator : draw = - Ri . AID = - Gm .RD . Win
.
E podemos defiuir um ganho para o
circuits :
←
Yisroel.fr
.
.jGmt↳l , .IE#kD '
Perceba
,
ainda
, que nessa situagas
coda transistor me e mz esta polarized
com mud corrente de Jsslz . Assim :
guns Gunze
'2kwq.to/=kwzIssM
isto I
,
. ganbo do circuits diterencial e-
o menus do amplitieador fonte - eomum
"
single . ended
"
.
A
egmagao Gm
. dzknq
TIE - 2
Arif÷ty±-AvinzM
sugere que a trans oonduteineia cai a zero
;Egan - zosrinlo → Brin . EF .
Tamosobsovarmelharaegua5as.Itsi-IiszslzkWfrinrrinz@q-ftinitiND2asoseAvin2rhEEn.eutooBIpEkkIssM.BVingueeioresuHaobencontracbparaatranscomduteinciaDegua5asGdfaideniradasupondoqueambosostransistoresestooemcondn5ao.Na
sitnags limit terms toda a corrente
passourdo por MI : Is , -
Iss e Ibz= 0
.
Para o transistor Me :
T
RD
test 1k¥ (vgs , .v→p ring,}fao%ot
, aol.IR
's
+
rgs,
.
rp§tofwzVgs , - offs + ↳ #Vgsa@ IssI
Para Mz :
o= zlkwz ( Vgsz - Vntf → VGSEVTH
Para o transistor Ms :
T
RD
Is . tzk¥(vgs , . Unp
aµ}ggnroot
, fruitful
"
vgs.FI.i.vn
+ rp§tF "✓gsi .=p.Vgsz@ Iss
Para Mz : I
o=tkwµgztntT→VgEV*
mazuma tenses
ditereucial que
LKT : Vin
,
-
Vgs, + Vgsz
- Ninz - o a circuits pode
processor .
Brin' - vgs , - rgsas}EssyfNque I o means resulted encontrado
para a tenses limiter que causa Gm=o .
Para Avin > Avin '
,
Mz esta em Carte e as
rehasfes encawtradas not sets Mais
vatidas .
Huoitise de → mfetodo 1 : a auoilise de simon 's Linea
siual do
per riza or 
circuits em torus de um puts
diterencial
.
de operasjs . Desta forma , podemnos
ntitizar o teorema aha snpoposizao .
T T
" '
}←q
. ,
may
'D Primeira , setamos rinz - o
rim
-
e eucomtrounss a infhieucia
←
14§tt de sin , was sailors .⇒
Iss
t
• Jose : Ms funciomee Como run ampkfi
cador fonte - csmwm com degeneragoo .
Rs = ¥gmz .
F÷iIFgm÷±a
.
• Joz : Percebemros que Mz fnncioma
course run amplificaobr porta - eomum
aciomado por Ms fnnciouomdo como
ahrens - comwm .
t.EE#EtnjIEn*EE*AvEL..7in=TgmzZout=lAv=gmz
.
RD
gm ,Fermi"
.yIm÷g ; Fish
Gmz
Dessa forma
,
a ganho causaob par Ms serai :
To , - Joz =
-2119mL
. Jin
, 
= -
gun . RD . Jin ,
1 + Guy
gmz
Como o circuits I simetrieo
,
I foieil
perceberghe a influence de Mz sere :
To
, - Voz = Gm . RD . NINZ .
Somanob as duas egwasfes :
Jo , - Toz - - gm.rs ( Tin ,
- Jinz )
E ° ganho seroi : Torre
Nin
, 
- tin
,
= - Gm . RD .
→ mfetoab 2 : meio circuits .
vootbvjnizpt
ftp.ovotsvinlema
: consider a
+ +
I Lf - K circuits no Lads an
Q It 9-
he Ds e Dz represent am
1 dispositions ntivos de
3 terminus . Suponhor
of he
Vin
, e Vinz varian diferencialmeute , isto
e-
,
Vin = Vo + Brin e Vinz=Vo - Brin . Enters , se
a circuits permanence linear , a tensed Vp
Miers warrior .
Proven : Assume que Vs. e Vz tour run valor
de eghihbrio Va e que varian de Ake BK
respeetivameute . As corrientes de sailor , entas ,
maria de gm . BV , e gm.dk , Aplicawdo lei
de Kirchhoff does corrientes antes e depais
da variagao de tenses :
I , + Iz = Is
Iltgm . BV , + Iz . + gmgvz =p )
YMBV' + gmBk=o
(
Dvs = - BVZ
Dphicamdo Lei de Kirchhoff does tensoes :
Vin
,
- V , = Vinz - Vz
YotAvin - ( Ya+ AV, ) =of Avin -Hat AVD
Zvin = DV , - DVZ = ZBV ,
Este resultaob mostra gne se Vin , e Vinz
varian de Avin e - Avin
,respectivumente , enters
Vs e Vz varian dras measures gmantidoudes .
Em owtras pahavras , vwiagoes de tenses
difereuaais sets " absorvidas " por Vs e Vz .
the fats
, Vp = Vin , - Vs e como as voviasfes
Soto iguais Vp Mets varia . �1�
Este lewd perinite que amatiseurss o
circuits comb obis " meio circuits " :
T T T
 
T
} " 3RD drwFate
'
d%2→}
- dvin-15 pt
→ otEat| Vp 9 pt*
Iss 2Vp=o
+
dgrwofnn
-
-
gm . Rd dr== gm.msdoin
dvo,-dv= = - gun . Ros .
Zdvin
Rlsposta an → Impedoiwcia Limited ma font de
Moab conium . corrente Iss .
T y
Considerameb a circuits
RD RD
down
farmm}•m
simetrieo
, a mndanga em-15It dvinom implied muohangas°tq|_|_ igmais was corrientes em
I Rss
Ms e Mz al dvo , = droz . Dessa
former
, podiums consider argue
Ms e Mz esters conectaobs ein parallels :
Tg# Dessa former , 0a odvout
9¥15
,
mstmz → W - witwz circuits iroi eixibir
dis - imtiaz → gm=2gm , win ganho am Moab
3fRss common :
I Nout
$qm= #
= -(2gm)(Ryz)_
It (2gm) . Rss