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olMO
Sue ILw hen
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hst Avis ye uctiou

Systn.
he
heNertio blace tiasams onth to a
loploce
ce aw o p i t at z e utial andtie
Calle a n s LntionM
TS)O(s) YS)
I(s) x CS)

lakina
akia hlacethanilataan orlhSide
SS)-ssYCs)t (s)= S(S )-2x(£)
Y() (4s+)- X(S)(S-2)
T(S)-S S2 (S-2)
(NSH (S2)(S-2)

TCS)M(s) (9-2)
)
uhat do
ov wAeam Jay veciþoca
Sqmmatc.0t ?
Kecibvo Cal etuok A atu msd to
ve tilvoC he Jaus o e veacse Vecuala
exclaom Vaviable YCmain idoticel
eNea h Atio g he va e Vaaiable
exctakon Nariable Nemaini \dealcl
RNEn t h e oCT one ha yeahaie B
exclatm M e mctwvk aye atezclaugad

wnettvul Netw A Atne fuon

baid o e meuical t e hut
ouhut rrle Caur he lachangad witaut
a t g h e ent vottages B Cuwreta

tshat aA h ha Candtlins yecihocalB

mmauatu mZdaramata vclegertatln ol
Mellun 2

Out
C everked dvr
Tasumed
onditin RecioclA aamalers
Z
Cedti on ymnotuicdy 2 Jaramite e
vdhe ele ZaoS ka qivenan

(S+2
S+3s+2 (S+2 CSH)

e s o s (S+2)0 te S22 2
elesSt2)(S+)0 ie, S-2,
Zelo ave2,-2
2

he LoCaton o raleB Zuas ane

Antm +2
S+5s

x(s) S't2 +2
cSS+6 S+3 A2)

t2 0 S=-2i,+2
tr Pla(St2)Cs+):0, S=-3-2
Hate aos_ae -2+-
fel e Qe 2,-3
 shdt ha dhiving oiat adnallane B tansle
ad nutauie

Y- avamales ( Shot-Cicut Adwtta ca fauamaleus)

tu pot metunk the unt CTe T

Can be expesSed n Teams o u p u t 3 ntht
Voltagae V V yeepeatvet.y ag
N

1)
Lhee Y s h e adnattauce w a t i x

T -
Abote Ve
T TVY, Eg 3)

Assuming he atht olh n s t netuimk ta

be Sht chcuted, V, 0
hu m 2aatum 3, wituV, 20_
T
,
t h V, 20
 ulal ,
QLguvwivg
oe Shot
ShoA Cvate , O,vuith V0
ie 3 ) ")u) eqa

11
N ,0.

7
wht Guthut dving cit
OdttnLs sile

12
V v70
Owe Cala VeNeao
a
a ll e x e ted m mho

Zuatin 3 8 Euaten Can e l ebete

as
1,-(,+,V, )
T, Y,V,1V.V,-V)
 t

12 22

qualet icuit eheseittien Shest CKTYwawe

beve
be cbecseuts he Caudalent CuT Ltilis
3)) Veecetc 2 93to
v cshectiy ely he dattau hasanmate veb
Stton o tt mtwank

udaleatCKT: i Shest GTY)aca

Andttu
abe igres V
Cantualed
Vave as Called Vtage
Cuet Sawcei
 what dvivmg
nbedace dviwa oint mpedava turslu
farameies Gcn Civcuit LalpedaucePavawales)
h t ut ntwrsk h input outht
vtaqes V,BV Ca be expressed tems
c tbt Bcoutpu Cureuts T, I vesr etivnl

ishe bedove
1
aluix
)
Can pe Vee Serted
V T
V Z
a un t tMetun verccetatien t e natun
assumed b e veztagulas ox h a dvertia
ihthewt otpthat uwets Uollagea
ShwM W eln

Out

Assame Cun b vtage a t u t netunk

Equatn 2 givel
T,+Z
V, 7L, +
ACSunwg h e ofP atinaus t nchwk to
oe ope-Civcuted

3 )ihT=0

T0

Again aCSuming he uput o t o h e

ame metun

qves p m e 3 )
V

V 8)
hona V
0

Calle wrut B vtht Aving pait joada

esptvely_shel
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a meless ou Cy

) Cauths e rbruted
T3) )

1
V, (2 7),+(2,, 2,)+
2

Z1 Z

a21C
v e e l he auvale
he abie

10
tuisewp
ae exbve s e thm
11 72
Z2

Susce
Vutage
 tolloucing vendgs Oue 5ta fam atun-hrt
exhauw
V I T

Cuhut L 60 0

o 0

AAa m t a r
fid Z

oZ-haanatus we
tm e h
Jo
lo

I-0 30
3

=6s
o

V2 4O =13:33s
I-0
 hnd h e Z-aa maler ms -hamalei
Y Lasameter mlcams o Z-hoamata

Z loein
Zoeingthe impedance Y being tha Admttame

Z1- YT
212 K
Z2 Z2

Z Z =

Z2 22

2 Z

2
,Z

21
21
Yauamater teameez-
Z-lasamade
Y J-(ZT-

Z12
Z21 Z22
Z22
Z
[Z,72-22712)

22
22

Z
 Ld he
ammet o ive atu os
WN WW
lo51 4 N

L
u aSume e 0fP (g-htaminal) be ohan
arcutd
e- (ay) TXu V4I
2 lvb bcfe , with kNL
to(T-T +loT +uT -0
toT=(10+1o+4)T -24T =6V
N2
T
(at T,-0)- lo -CT s
ou ahad

VSI+lo(T-T
51+o ( lo24 ) 9T loL
StIoxi 2
T
xto83
nV J0-83 chm.
Lel assume hatJ
Sho ted and votage V is oled dt oApt bet.
ves
T,x C totHo
V, T, | 2020+4 2

Z So 333 chm
T-0 2

Aqn,VloT lozp loo lovp bcle

4(T-T)+ 1sT +loI 0
41= T (lotlot 42uT=2.9V
2atT=0)-9 6 shm
24

h a natw Z
hus
Z o 83 s Z12=161s

2 6 767s7 Z,2 33s

 d he Y axam.le give mefwn.

TW WM- V
s

As
V IVa=0
kamce ind Yte ondtha is
0) a shnt-Ckeucdedt.
uvCa ce
V, ts 'abhUed ad upt asshm
MM t
homthe
who
I+2x2

Cuhute
142*2 Jith offshurted ,no Cunted
242

ALSO

indn a u n Keeh achat shut-

ccurted
unce T=-Tx2 e Siam indhalag
2-+2 dive atim e S

x2-V
 mho
N,-
Y , h e shnt Cict

ale ated o the tupd Sida

S C Va Cannected a t h e gutSicle

VO 12

mTwn wrt 3ht P.vcHge V

at showm M L e
2

V
x2 2 +
L2

-mho

Ly+T3 T2
T T3SV V
T 3 x2
2+1
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