,n E..

IOI'TAT]I

Third Semester B.E. Degree 6iib! lDec.20r4lJan.201sEngineeri;;g M aiiig#i(ics - rrr

\otet Ansn'o-.n! FIWfull qt.stions, 5eL.tihedleosr Ttt/O.tu.stions from ea.h parl.

1

z

Fi

,i

2i

;Za.

2i

Expand r(r) ="Eiiiilrl.t 1.5 5.7

nr (0. l).

c. Solverbe inrcrral cquarion

Ftr i .tr^e or'he li,mr ) = Je b rre dJn:

v L() li r2

60 210 ua 214 100 33056 lr t7 2t

FiM $e con(ant terh and rhe firsttwo hAtubnics in Fouier series expansion oly.

FiDd Fouriertansform of e' and hen

l'iM ljouiei siie ransibmoi f(x)=

Lse graphical mcnbd b sollc lhc follo{ing LPPN,li.i.1izc Z =:0rr + ioxrSubjeorb xr+lxr>si

21r + 2rr:20i3x + 2xr:21:

i .ll

Fn rarnna possible solution of one dimensional heal equation br sepdable !ri!bl.merl]od. (ro\hintA recra.gul, rute \ h i.suldred slrlice is locm tride and so long compared to ns *idrhthd n nEy bc co.sidcrcd irfinile in length trithout innoducing an lppftciable eror. lllhctenrpenture oftlr s|o c,trey= 0 isilenby

=20(10 x), s <{< I0n.dthe$olonsedgesx=0,x=l0asxellastheothershorted-seaekeptar0'clirdthete pefuluE u(x, y). (r0:,r&rr,

I,::l' ,,.^

l0MATUtSolle Ihe aollosing LPP by usins sinrpler medrodMaximize Z= lxr +21r+5xr

. subje.r ro r, - 2xr: \, <,r30'I ixr +2xr < ir6o

i \ +4r: <421), x >O.x: > l]. (DTrhrkt

PART _ BUso the Causs Seidalner ive herhod ro solve de systenr ofhrcar equations.27x + 6y z = 85i 6x - 15 -\ + 2z = 12: x - y + 512 = I 10, Cary our I irenrb.s by rakinglhe initial approannation to thc solutiotr as (2. l. 2) con$ds lbur decnnal plases at eachstare for cach va.iable, (o7Nrr.&nUsine the N ewro n-Raphso n nethod. tind lle realroo. oltlre equarioD xsinx - cosx = 0 nearto x = n. canyoui for itemrbns (x in radians). (06Ni,rktFiird tlre kgest eigen value and the coftespo.di.s eisen lectorolrhe nairix

f 4 l -l\ rLIc- : 1 -l bypoqe merhod l.* 0 .e nr, \ccro.. Pero{ .cmron!

( 2 r 5l l0,l

-,-- ,--;t_s-

'c7,-'"'i*/ "-; lp\ i"l;:;---...'!=t a

Iind (0 I ) by using Ncwton s lbnyard nnerpolarlonblckNad intell)olarion lnrmln non the data:

Find thc inleryolating polynonrial (x) by usiig Newton\ divid.d

'dx sns Weddlet rle. Taking six equtrlsub i.rerlals, compaE thc esulr

0 in the folbwnrs squarc mesh. Caftyout Iwo iterarrons

_llor the sque meshCilen below sirh u= Oon rhe

(06Nrrrk,

J.

l(\) -8 t0 212

2 l .t 5li\l

=0, u(x, 0)

i-

1OMAT31

4

( rva ute me prvohr varues ot rr=16r,m irDns@ ulo.r)=0.ur5-n=o. 4raol'a

8 a. Fmd the z-rrartms or u 1l)".[)" ,,t2l lltlb. Shte a prove idtial slue tbeorcm in Zrrarsc. Solvc lhe diEeence equation

u : -2u". +u" = 2"i u, =2,ur = l.

(l

4",fSI;$r3' ;t- ,./,"/

,,j,.."ILSN MATDIP3OI

Third Semester B.E. Desree Exa mfi-siiiiiii Dec.20t:l/Jan.20l sAdvanced Mathematics - |

\ntet |lns|'.t a,t: FIYE fu questio,s.

-

,

I

i1

3-!

te

b 1..,J.'clodll'.,,J:1pll.deot.,e.o, ple. .. nofr l ..u.o ...i.a. Ir,:\ lnr. ., . rt r..\a. :1drb".x .e. ,'\aodJd. P,ovcrhar (cos0 +isinsL){cosor-i$no:)=co(o +e, +isin(or - o,).

Find arcn" dernarllc 0f."" cos (b\ +c)Ify:a.onlo-gx)-bsin(logr)ptuvetlurxrr" :+(1r+ l)ry, j :(D:+

ComFure rlre n'r'de arives ofsin x sinlx sin lx

1)v" = o.

c E\pard og(l + sin \) ,n powc6 ofa by \'laclaurib s rheoreir np ro tnc dm c.mahingxr.(07Y,rk,

\\ nlr rsual norlrions prove thar

Pnle rhat thc cuflesr.uts r)i = a

Dcfine Gamtuaftncrion Ptule thatl(irr l)=il1n).wnl uslal noiarlo. prov. rh.r Of..O=ffi

; 7-rldo

L' r',r,"". J Jr': +r:r,r'ar.

Il

B(..+)=2r'"'p(...).

MATDIP3OT

a, soLYe : sec: xtan ydx + s4r y te rdy = O.

rr sorve lI=r+I+lIldx \ tri

7

,l

. i.rN

.$"

c sorv.: r+yorx=sm1.'''di

sotve: (x2 + y)ar + tyr + x)ay = o.

lJ., r#14 o4+rr9-0"=0.al*' dr' d\u sorve ii?y+sy=e'+r'

". .",,., {.a'*,-*"dt"...

t)

t,sN 10ES33

Tbird Semester B.E. Degree Examination,Logic Design

Der.20l4l.Ian-2015

]l.4c\.

-

ia

?E

?a

a

lrote: A,tep/ FIVEJitl qaestio,s, selecti galeast TlfO qn6tions froh eacn pan. :, \

lI a Deslgn, conrbnurinal cncutr shi.h lakes Nvo 2 b b,.ary nl6bets

gere6tesmoutputeqnalto l.nherthesunrofthelvoDnmbcsisodd.b. CoDrert the gilenBoolean tunctioninto :

i) R = r(a,b,c) = (r+b)(b+;)minrem canonical Ibmii) P=f(x,y,r=x+xz(y+rnraxcancaioiicaliom. (06y,rL,

c Distin-quish pnne inplna.! and essenrial prihe inpliclni Deiermirre U and EPI for d1e

give. tuncrion N = t1a, b, c. d) = r(0, l, 4. 5. s, 9, ll) + d(2, l0) . sinplify rhc eircntnnctnhrnd rnrplenentusi.s logic qates (o$Ierrs)

a Snnpliay the givcn Bool.antu)crion usinC Quine - Mccluskey nrethod lY = (r b, c, d) = :(0, l. 2, 6. 7. 9. 10, I2l + d(1, s) veiry the resllr 6i.A k-map

Frnd thc nrininal sunr and minifraltecltique Sohe bynsine l-varlablc5. t3. t5) +d(8.9. 10, ll).

(r0lt.rlolroduct jir fie girn Boolean iirnction, using NlEvmap.nd 2 lxriable nrF y: (a, b. c, d) =:(2,1,.r.

(l0marl(,

a. Distlnguish bet*een a decoderand an encoder.lmplencnt tulIaddernsine IC 74113.(03 \krlo

b. lnlPlenrc 3 bit bimryto snycodeconvesio byLsinglC 74139 (06iulrknc. Desig. a prioiny cncoder tur a sJ,sren with a Lnpurs. rhe Diddh bn vilh hishe$ priorn]'

encodnrgro 10, rho MSB wirh ncxr p riorir y encoding to 11. \'hile rhe LsB$ith leasrprio tye.coding ro 01. l06vrikt

Reali2e rhe rbllovme Boolear tu.ction: ! = {w. x. }. z) = !(0. 1,5.6,7, 10, l5) usinei) 16 to l MUX ii)8 r I MUx iii)4: I MUx ooNl'ik,with a neat logic diasram, cxplain cafty look ancad adder (l0ntrk,

PART B

Explain the qorking olr masler sh\e SR j'lip,flop with rhe help ola losic diasmm,lnncilon rable,logic symbol and tirn ing d iagra.r. OoNr,rktwiihandat logrcdiapmn, explain dre Norkins of po s il ivc cdg. iriegcrcd D rip nop

00Nhrk,

a Obranrthe c hara cturisr lo e.lultror tbrDmdT Iip ilop. (06nerr,b with a ncat losic diagram. cxplain thc op$alio. ol4 bil SISO lDidirecdonal shit regster.

106Mlrlno E&liin the worki.g of fonFbn binary dpple up counter, connEured usins positivc cdsc

biggcrcd llip-iop. Also dra$ thc rifrrngdilgBnr. (03Ntrrk,

1,0........Compare Mealy and MooE sequfliial cncuil nodels.Analyze the sequenrial circuit shoM in Fig. Q?G).

l0Es33

0. 2, 3. 6, 5,

' rr8' a4clwritc input ind output eluations, iiansnioD table, stale table and state diasEm.

Wriie rhe 6asic rt i;mended steps for the dsign ofa clocked slrchronous sequenlial

CompaE syncluonous and Eslrchroiors countera ..qle dl .inur \a. one rnbJr 6ft1one ou @i The rdeJ.1ddm." r.,huk ' n, rl,eFis. Q8(c). Dcsisnthe squentillcncuit wilh IK nip-flop.

Fis. Q7G)

Fie Q8(.)

t0Esl2

Third Semester B.E. Desree Examioation, Ded.20i4lJan.20l5,Analog Eleclronic Circuits

;

1'"

Z:

;a7!

c:',a=?1

a

,z

il PBacaldlode nmdcl.

lii)Piece*ne liDearnrodc. (08llrrk,Consider! halfwxve and tullsavc rcctiner{ith caFcnorinput lllrer Derire an.xprc$ionlorripDle fa.tor. (o3NhrknErnlai. rhe opedtion ofDeoarne clanrper circun. (0lllrkt

Note. Answq FIVE Jittl qteltions, sele.tihgal least TwO questions fio,a each pat,

Obtair e$re$nrns tnr *ability lirct.r S'.o. S\Br(l0Ilrrk,

given conditionsi I( = I tuA. S(. =::0,0 = 100.the cir.u diag n 0o^brr,

Conside. a nxed bias circuitofatra.sistor.and si Drax thc crcundiasaD.Desisn a \!lr0se div erblxs circun forthe\i = I V.V.r=6Va.dv( : 12V Draw

a. For the co.rmon collector cncu sLo\rn nr Fis Qj (a). the tr.nsistor h-pannetes ar€hr. = l0l, b( = 1, L, = 2t uA,V. h. = 1.2 K. Deremiine R,, A. A,. A.. and L,, lor rhe.n.uit (r0r\lsrn,

(r)Srare and provc Mille.srheor.nObtain r-paLameter nDd.l aor CB mode.

a. ExDlaindre lo$ nequenly respoDse olsinglestage RC coupled amphlier.b An amplilio consiLs oll idcmicrl nagcs ln .dscadc, ihc ba.dwidrh oaorcrall

cxtcnds nom l0 Hz to 20 kHz. Dctc.n$e rhe bandvidth ofjndjljdual $rgec. F.r an anlplifier. t]t midb,nd eai. is 100 and loNer cu.offfteqnency is I kHz.

re r:!in olrlre amplijier aL liequc.oy ol20 Hz.

lckDSVtt

l0Es32

a. Denw an erpEsion lor second harmonic dttortion in po*er

b. A oofrplemenrary stmetry push pull amplifier h opertcd vnnDet€mine maxirnun ouout Dows. power raii.s oatransisros and

CoBider Drlington enitter tbllo$er c;cun. Obkin expressions for Rir. R,, Ar. A .

Comparc R, a.d A oleach and oveDll $ase if Rf = I 3 ko. h" - l. I ko. hrc - 2 5 i lor.lr.=50 and h*= 25IrV (roirlrk,For a \.iiage series leedback ampliner topologx obtain expEssio. tirr Ay aDi R,, Akoe$lainrheprirciplcoflohsgeanplififtusediniledbackatoplifiers. (r0vlrl,

!xplan1 the conccpt ofpositile feedbBck used in oscillatou.Obrain a. expEsslon rbr ftcquency ofoscillario.ln Colpix's oscillaror.ln a Rc phase shilt osillalor nsing tansislor, f, =10 kHz, Rr - 25

R. = 20 kO, R = 7 I kO and n,. = 1.8 kO Calculate the capacltor C

aeplifies, using l-poinr(l0\Ierr,

v.( =110v, RL = 5.r,

(r0rr!rr,

/"il.,;."

C..ndera n channel JFET using vollage dilider bids. ExplBin itsDC analtsis ALsodern!an expE$ion for nansconductance gn. (rolr,rk9Design B fixed bias cncuit ofFis Q8 (b) to have rc gain of-15. Calculatc the ralue olRD n)get thh gain, il vDD = 40 v, R. - I0 MO, IDs = l0 mA. vr = -4 v. Y.s = 20 $.Ci = 0.1tlF. (i0|\lrrk.)

WD

c\ftr+

2ol2

US\ oriES:12

Third Semester B.E, Degree Examination, Dec.20l4lJan.20l5Analog Eleclronic Circ.|its

Noret Antver onr t'tyEfu qrcsrions, seledntEatleast TwO tlu$tionsJioat ekh part.

Fr.

,2

aa

E!

r Dcsign a volage divide bias cncuil lbi lhe sp.cificd conditionslc: lrLA S =20,0= 100, VE= lV.

b. Deienninev) for the nerworkofFig.Q2lb) tbirhe

PART Aoathe t*o lcvcl clifpcr shorvtr in Fig.Q.lG) lansliiearly liom 0 rosk.tch the hNGr chrscterntic, a$uming idealdiodes. (03 rrlrkt

v.. = t2v. v.r = 6v.

b with dr hclp of neat ciEuir diagram explain rhe {orking ofa nrll rvale bridge recrificrDerile expresioB &r i)lD.: ii) hNsr in)PD(: iv)P{.r v) Reclifier elficlcncyr vj)Rlppleiirctor. (rrnr"rb

7u

Find the ouqut \aveibmr

FieQ2(c)

FisQ2(b)

shosr tu !ie.Q.2(O. calculate rhe

Draw M un b}lrased CE lmnter bias corfigumtion circun. Derive rhe expr€sins tori)Zii ii)Z. and ni)A.us s the model. {toiurrktFor ft cncuft shown iD ljlg Q.lo) using sihon transistor{nh vtsr:0 7v, B = 100, nnd:i) S(IcJj ii) s(vDr: iii) S(B) sirh B(r ) = 100, p(r,) - 259', morc than B(T ): iv) Ndchange iD l. if 1." in.reases fronr 0.2 to l0!A, V$ drop tom 0 7 ro 0.5 and 0 ind.ases by25%

j +-" +*.,.1,

6*il,,

06[s32

Describe Millem efecr andderilc an equaion tur Mill$ nrpt dnd ourpur capaciraDces

Detemire the lower cur ot nequency ror the ner*ork sho{" . .,..q.r(o). ',]:,tili'lC. = lofF- C. = 20!F.C.= lrrF, Rs= 1(r), R, = 40rO. Rr = loKo. R =2KO.R. =4Ko. Rr =2lKO,0= 100, h=rO.vL.=2oV ooxrrk)

Fis Q.,1(b)

PART BLi$ rhe advantages ofneg0rilc feedback Derirc expressions forZilnd Z,rfor a volragrseies feed backamplifiq. (0si[!,k9Usins complete hvbrid nodel dc,ire the expre$ions ibr A,, A,. z, .nd 2,, ror a nvo portsy$cr orNhrk,

a. wnhneatblockdiagram,explainrhd{.rkrneolacla$Datuptifier. (07N,rkt6. lor a class B amplirier prcudme a 20V peak signal to a t6oload and a poNer $rppty ot

vc( =10V, dercmine rhe i.!utpor€r.ontpuipoBcrlndcncuir eflicjency (rs trrrrr,c. Calculate rhe hsflnonic disrortion cohponents and r.hl hannonic disioitioD for an outpur

signalhaving fundame.ral @tlirude of2 5V, second harnronic anrt,rudc ot 0 2sv, thndhamonic amplitude of 0.lV aDd louiih harm.nic amplitudc ol0.(]5V

a. Withneatcircun diagmm, cxpl0in thervorkrnsof aWicnB dreoscjltarorb l-.oo r'-eclracrer"i( o'dO'r '( Oi1l.c. A quanz crysral has L = lH, C : 0 olPF, R = iKO. C^ = 20?F Calcutarc the

P3rallel rdsonsnt 6equencies.

Dncusslhe diferen.c bedveen !!T and BJT.Ddn€ thc expresion ror Zi, Zo and A, if,FETvohage divider conisuatton.The nxcd bias connguiaion olFig.Q 8(c) had in operring ponn defitrcd 6,a.d I," =5.625nA. with lD$ = lonrA and vp = -8V. Thc lalue ofy.s is

40trs Detemine i)g^j ii)ri: iii)Zr iv)2.,i !)A,.

v.^. = 2v

f _.*-_l t

VI

riE.Q 3k)

l0tT35ll5\

Noie: A,strer 'IyErt

tq e\tioas, selectinsat least TwO qu.stiohs ltoh eath ptn

EABI:!r Detine the aollorvi.g terms as alphdd to !r electronic irx.urcnsli) Ac.uac! ii) SisniticaDt fixuE iii) R.soiuuon.

Des$lbc $e lolloniDg inodcr oloFeralio. inr dualtrace oscilloscope:i) Anc,nate mode li)Chopbode\hxr is rhe i{,1. olTnne hrc. q.ne',nr'

E\plail dre opcratioi ol

Erplain \4csh sroose dd

J dir rJl $u a e o{i lonoFe 'h

rh< re | ,,t l

\t. .. " ueo...r'..,.-'r\da(r ao c,.ie. .ddi i \ -rig"

5ElBf=_C

a. \ har is Barkhrusen citeial,Erplain \yirh block duelam AI sine{quarc

b. Explaingeneralputechancte.*icsc Exph,n rorkilg $eep lrcquen.! qenenror.

Third Semester B.E. DegrecExamination! Dec.20l4lJan.20l5Electronic lnsirumentation

a

:,

4t

,-

ia!a:=

...

a:

a

x. Explaio rhc rorkiry ollinear ranp rr?e Dv:rl. (03 \rrlnb Erplainlhc*orlingoradic alEequeDclmerer$nndehelpolablochdiagram (0srrlrk,c \vh!t il ,'r digit D\:ivl1D.fin.lh scnsnilitr lor\r*kt

a Dmwrhebasic blo.kdiagrx'n.ranlscilloscopc lxplaiD rhe tu.crion oleachblock.(03rl,rk,

Draw a basic Dc loftmerer.n uit, derlve e\prcssion lor nultifier Esisrancens \rlue for ! \oltage mnge ol(lr ll])v iaa flll scale defledion cumnrunem.l Esistan.c oltbern.teris t00 O.[rplain the sorkinsofa rrue RMS \oLtnererwnhnrchslp olasunableblock

phosphor noragc rechniques used in $oFse oscilloscope.

.Io\

,f

a Tn. Whcactone bridse h shorvn ln FrgQ6(a) below. The gallxn.ncter hls a cuftenrsensnnny ol llororAA The inteD,l rerlsan.c olgalvanomerer is 200 o calcnhre rtredcie.lnr oflllranonrerer caNcd dle ro 5 O unbalan.e in rhe arn AD (06rLrk,

Fie.Q6G)

R = t200 !),

a. Explain in b.icf cffects olphoro conductiveb. Whal is LED and LCD? Conpde LEDandc. Write shotnoreson I

i) RF Po{n MeasuebeDt using Bolomter

l0IT35

consiants are cr = 0.5 fF.

(Mnhrk\)(MNrrrk,

de.ile cxpEssion for Maxwell's bridge lf bridgeR, = 700O. Rr=300O, Find the rcsistance a.d

Eaplain \{asner's Eaith conncction.

ExFlain Re$srive posrion TDnsducer and a Eshtancc posnion rransducer nscs. shafr wnha stote oll inch. The total esistance ofnre porcnriomerer n 5 ko. Calculare rbe ourputvon,ge *nen wiper is 0.9 inch fion extEne end ilapplied \oftage is 5v. 1m \hikoExp lain c on stroctioq p nciple dd opeErion ol LVDT. SIos chamderisiics cs,e'What Ls tiiemisror? Ex.lain dlllerent lims ofthermisinii

and pnoro volta ic tansducer.

,6,,

Degree Examination,Field Theory

Dec.20l4/Irn.20r5

Max. Marks:100i\or..l.A stuer FIVE ldl t! restions, s.lectihg

al.as1 TflO qkiions lobt each put.2. Mi\thij! ttt14 iJ anj. atq he suitahb' a\\ulned.

PART Ax Srate vecu fonn ol Colounbt la$ of force benreen No point chrses and nrdicate the

uniiioldre quanrirics inthc cqnation. (06 usrr,b. Slate rd prolr Cau$ las ibr poifl chdge (06 iurrr.,c Tno poinr charges. Q and Qr are locatsd ar (1. 2. 0),, a.d (2. 0.0),, respecrnely Find the

relxtion beMeen the charses Q and Qr suc| rh0r rhe roral lbre on a unn po\ibe .hdrge ar

1 l. 1.0) hale i)nor componenr ii) no y . componcnr (0trrark,

Third Semester B.E-

d

:l

,.;n?-

22

!.

i,1

i-

a:

.:

Deinre porentlxl ditfere..e Md absclurd p!tentalE$oblishrbe r€larion E= w.llectrical FreDtial itdn atuitmr) poiix in lice spa.e r!ir.n as:v=(\-l)r+(v+t)r (z + 3): volrs. At p(2. i.l])find

iiil E lv) \)

a Deirethc c$ressior lbrPoissoo s lnd Llplacet cquatio. (0r usrrtb wnte dreexpre$ion lir LapLacc sequation m cylindrical arrd sphe calcoordinares.

c SidEir d Ftu\e unqurre* the trenrd G rci rhe por.n d field\=1.'\z-[\7,o8:

i) F,nd k ilpotenti,lneld saristies Laplace sequation

ar ( I l)

StaniDg linn BDr Savod's lar.ponrt due to i.itc lcigthcutrenr

Veril, Stok.\ $..re,n $r

dc.ive thc expresion lor rhe mlnetic

tr,. r.r,r i =:,.n,oui**6 ru,

LQ4(b)Fig

lxplain scalr a.d yectorDagncric porcnnal.

Derive expression for magnetic

ii) DitrereDtial cuent element.

a. ntte shoft notes on :

il S\\rR and reflection coeflicient

A I0 GHz plane rave in 6ee spacci) Velo.ity of prcDrsation

A curcnt elmenr I dl, = lo I 4 (Am) is located

I:dL = I o 6 t&- 2 &+ 3;il {Am) is located at P, (

i) Iird lorce exened oi 1:dl: by lr dllii) fina force erefied on lrdlr by l:dl:.

B

00 Mr'k'

ar P (2, 0. 0) and aioth* cuMt elemeit

-2. 0, 0). Borh are in tee spae l

10E535

a. Lnt Marwell's equalios in point fomr and integol iom. (03 n rrktb A homogeneou nateiial has e = 2, loi I/n and u = 1.25 x 1(]

I lrm and 6 = O. llecric

field inknsny ?=4ooco(l(]9r-k,)alv/n. lfall the ields vary siiusoidally, fi.d d.B, H and k usirg MaNell s cqnarions. (lzrtrrkt

st,rti.g fom Mrxwell\ eqlarioc derive na\t equation in E a.d H for ! unifom pLane

wave ftavelli.g in 6ee space. (r0rrrrktState ud explain Poy ing theorem. Oorrrrk,

lii) CbMddislic impedancc ofthe mediumiv) Amplitude of m,gnetic neld intcnsn,v) PrcpasEtion con(dt B.

has elc.rric field intensity 15 Vlm. Find:

l0ns34

Third Semester

E

2a

5!Zi

=aai

!

Not.. Ahswa FIVE fall questiots, eledntgaieast TWO quesrions lrom .a.h pa .

PART - Aa For lhe dehvo.k shorn nr lle. Ql(a). Find the potentialditfeE.ce bet$een M and N usnrs

b. Usins nar'deltx transturmalion, der.mine rhe resisBnce behreen lvl and N ot nenvork

c For tbe etworkshoNninFig.Ql(c).n.dposerslFpliedbyl0V$urceusinsmcshcurentdndlysis (06 t'lark,

d. Forthe nclrnork shosn i. rig Ql(d),lind dE masnitudeofsource volta-qesuch thar cunenrin 4 olnn is zero Use node loltaee analysn. @6Nrr:kt

Fie

F1s Q lk)

'' J'clcier' .mdeir rde'.0'n'r'\rl'e\40.p1e.Dodc incide..e

'ma,x

ris Q2(O

List the prcperties ofthe eleoient(06lrlark,

Qr(b)

I.ig. Q2(b)

the network shown in Fig Q3(a)

Fig

for thc ietwork shown in fig Q2(6) Detenine branchloxage\ Onr.lrase basir

wnte KvLequarion ror rhc ncs..ork shosn. Draw rhe dtrarorthh "** *.. *,11i'i''ili",]sho$ tbat these two.ehlorks are dual (Fir Q2(c)).

rie. Ql(r)Forthe cncuitshom in Fig. Ql(b)- li.dcutrent l'Slalc and prove reciprocity iheorem.

I ol:l

Qt(b)

Q (d)

t0Es34Sule and explain naxinun po\o tansfd theorem when load impedance co.sisring olvariab le resis r anc e and van ab E €acta.ce (03 lu !r[,For rhc net*oftsho{n inFrs Q4(b). Dra* rhe Thelennr 's equivx lent . f. un (05

^Drlt)Usilrg Norlon\ theosn. nnd tnc curcnt l olihenedrorksho*nrnFie.Q4(C) (07M,rk,

F e Q4(b)

a Wlar n resonance? D{ive an €xpression tur cur offliequencies.b Calolaie hallpo$erneqnencics ofscries rcsonant cncuit where the resoirn.e

ls0 KHz and band i,idth is ?s KHzc Ior the cncun showD in Fig. Q5k), find h{

the f.mnla nsed Take f= 50 H7elues olcapacitor for the Esonance. Derivc

(03\r,rln

r=0 . {o3lrrrltIn reciruir shoyn, inIig. Q6(c). swnchkis closcd alr =0. Fir)d y!(0.) tud ViL(0-).

-d=-=r't-- J

whal h iritill and nnal condition? Explain rhe bchavi.Dr

For rhe cncuit shown in Fig. Q6(b), ss ch k s ope.ed at Istate condition. Deteminc voltasc drop acros $,il.h a.d ns

fE. Q6(b)

Forihe.ncur sho\vn in Fis Q7(a). switch k n cbsedinductance is 1A and initialvoltaee a(os the capacndr

For fie cncun shown in Fig. Q7(b) switch n chscd at tinductmc n 2A. obiai.expresion Lrvr(+) lbrt>0

1' ta t,t

ol R. L ,nd C lor drc initial106 \rrrht

= 0. ancr reaching dre sterdyIimr and \e..nd dern?ilve n

ar t = 0. Thc inirial curent dunLShis Lv. Obtain e \press i. D lor crrcnr

(03ntrlko= 0 The in,rial curcnt tluotrgh rn

(06Mrrk,

Iis Q?G)Synthesis ihc wa\efomr sho\u in Fig.

Fig. Q7(b)Q7(.) and nnd the Laphce trislor.l ofnre periodic

(06Nr,rL\)

a. Obtain trmmission pdametm ir lem of hybrid p 6mtes-b. For lhe oetqork shoM in lis. Q8(b). Find the z - pdametqs.

Following short circuit ffientsFis. Q8(b)

and Yoltases ae ohained

t0E534

*pe.in@talLy;)Ara," eorr

rA: L =-0.3 EA ed V, = 25 VdL{ l I: - + l0o4 ud vaE l0 v

i) wirh ourput shon ciEuited i Ir = 5ii) \\ifrIjnput shon ciruited : Ij - -5Dettuii;Y - p,lmei6.

, ),tr_

.{J"

i{,''q

a!'d'

c_

/.,p,1"/o