dsa_kisa_sinav1_cozum_2009_2010-

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Yrd. Do. Dr. Berna rs YalnAra. Gr. Ati lla Uygur

Devre Sistem Analizi . KsasnavA GRUBU

22 ubat zoo

d [ x ( t ) ] [ - 2 l ] [ X l ( t ) ] [ 2 ] t; .) a) - = + ""2 cas 2t yandaki durum denklemleriyle gsterilendt x2(t ) 1 -2 x2(t ) 1sisteme ait M(t) temel matrisini bulunuz. b) Sistem Asimptotik kararl mdr? Neden?

2) Aadaki devrede A ve B ular arasndan grlen edeer empedans ifadesini yaznz.

M C - - ) = [ ~ dl+ ~ < : l ' z ; t -J ~i I J t l + ) . " ,) 1 ) . } k~-er u : , i) r e . e J . . \.u .S \V Y l\C \r \ SL()~ ~\ db~~D \ d v U 1 t X " ' t f \ c : b A S " s + e m a5 ; tY lp fo1;L. k ' a . r c l j h d t r .

A R1O---J\NVC1 -i..i L18 o

[ Q t :V t n L f i < . ]CD o)f:t m J;-( 'is iri,,, ~~ '< le . . ~v' \'~unJflV .~ -v .rv. . \ l, b\K\.~ e rt - ~;-.kj-u-l~i ' o v \ \ X ' . s a . l { .

~C ).\J - A - ) ~O :) \ ~t'2. - - 1 1 z:o ::)-1 ~t~ \

Mlt) +~~ ..x " " " , " 4 ~ +3 ;:-0

ft=-'3 ~2 .=-1olur.

t{- -:- e . \e . t l : 1 }-!.-t'2.- = -1~Z2. z: e.2-1eZ1 =:1 i e . . . 2 = - - 1-3+ -+e e

- +e,


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Sor; e.vY Iv~\:v '- V~ ~ ",J .e ,\ ~dm \1 c..sle (' +ly IM (' lV iigi l7dtv ~u.k\ e, ?r6 i k U C (u J tl lct,/) 2 :: ~~.s i

1~ P - 1 + - $w ,u IJ s .. . ~aHl r.J 'wCI+ .LJ W L - 1

i l Y b j; l1 tf- ve, re-d L u s f l1 1 ( a r ayr1vrsaLM = - [4+ j( W L1 -) o J I 1 r .1 -wLLC


3/4

Yrd. Do. Dr. Berna rs YalnAra. Gr. Atilla Uygur

Devre Sistem Analizi . KsasnavB GRUBU

22 ubat zo o

) a) ! ! . . . - [x C t ) ] = [ - 4 [x ( t ) ] + [ 2 ] . . f i sin 2 t yandaki durum denklernlerlvle gS~eriendt x2(t ) 3 -2 x2C t ) . __sisteme ait M(t) temel matrisini bulunuz. b) Sistem Asimptotik kararl mdr? Neden?

2) Aadaki devrede A ve B ular arasndan grlen edeer empedans ifadesini yaznz.

L 1A rVY""Y\~ T l R 18 0 > - - - - - 1 il - U M L E i }

@ a.) t r II'\ Jrisi" l/l ~fr v e . . . ~'tVe/Ji}kr,IJI~~si,,; O\\.I.~W(oltm,d~+ L~\j-A) =0 =) l ~+1.,. -'3 -1 i -o)+2 -

& t dTdev1ere c ; + - z:ve1cJ-Od~ ise.) i = = - 5 ;4 i i'} -1 -'\

-333-3

-11

M~+) =) t M . i + - ) -

=) ~'2..+6~+ 5 ~Or\~-5 A=--1

. . : 7 ~it: - e . . . ie i = 1 i tL,.=-1e-. :: 3e2 ..\e:1 J e 2 -=3

-~e5+-e-0+-e -t3e


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j & dejert~- ,11 red luS .v n \w \ 5t>l ~Ct(\ c L 1 J e w t d Q , ~i ~ + - - o l d 1 .L -1(\dar1 5 )~tem C tS , ~ t = , L ~or..ld.tr,

5i e m p e A v ' s lar v e . . p , J e . . { a d / l 1 i- f a " ,S Itti" + U p i c < rr : c h - d f '5ird~h A r e l e ; K e " v . e r ; l-tll ;ki /q! i c i 1 : - emreda.lls/

~~ :::- JW l-1 + 1 _Ju /C , +Li 2 - 1

IMo j;flt ~ {\.teA luS''h JC crl C.t jr1 r akt (- '1 - 3 w(L,C/)----- t- J l . ) J L 1 " \ - w. a . 1 . . ( , '2 . .--- + J " V 'L , z:

+ - j _ w L , ( 1 f-W ' 2 . 1 2 , z C,- ) _ w ' / 2 . tC i1 . , . w2,/l ,"( ( z ,

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