1OMAT41 Semester B,E. Degr Engineering Dec.20l4lJao.20l5 rt EE M: a a a! ! -.. i, 3: a Note: t. An\tlu a"r FIlElu qkstiohs, sele.th,g atleast Two q".!rk ,s fro", each pa . 2. Use ol sturisic.l k,blei: pentified. PART-A a. Employ Tavlofs series merhod b find rn approxinare solution ro find y ar \ = 0.1 eiren - . - \'. .r0) - lb\.or..de,.nE o'uio'r\dcg.e".en b s.hr'neilloLL,Cb) rle''.,odrcd,e,oo:1- o9\ ), c. Givtr q=xr(Hy) andy(r) = r. y(l,l)= 1.231, (1.:): r 5.1s, y(r3) = r.979 Elalulte I1.4) by Adams B6b lbnh method. Apply cotrector lormula 6vi.e. 'ore:)-,- ,d : - ro' -,'b.aoor.,epLi.c..,,, d\ dr y(0)= 0 and z(0)= I Takc h= 0.3 Use licard\ nrthod 1o obtain rhe se..nd approunation to dre soluiion ol --.,' \ 0 P.ren\r0l l.?,0 0\4. f'J tr. Afply Milne s merhod to conrpute 104) gilen y'+ ry + r = 0. (0) = y(0 l) = 0.995, y'(0.1) = -0.0995. (0.1) = 0.9802. y'(0 2) = -0 196. !(0l) y'(0.3)=-0.1861 l.t(0)=0. Deilc Cdcby-Riemann equ ioninca esia. fonn Fird d analrtic tuncrion (z) v|ose real p!r! n If (z) is a h.l..n,qrhrc tuncdon oaz, l[en show lhat Dn.us the tra,Erorm ion w=z+1. FiDd rhc BIT Nhich nmps rhe polnrs 2 = r. i, -t to rv=i.0. (07M,rk, tot +)Ltetlt =t'rzt (07\r'rr, 106I!rk, (r7Nr,rLt (0rILrkt lz = j iI r, L,'i. 2)
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4th Semester (December; January-2014 and 2015) Electronics and Communication Engineering Question Papers
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1OMAT41
Semester B,E. DegrEngineering
Dec.20l4lJao.20l5rt
EEM:a
a
a!
! -..
i,
3:
a
Note: t. An\tlu a"r FIlElu qkstiohs, sele.th,gatleast Two q".!rk ,s fro", each pa .
2. Use ol sturisic.l k,blei: pentified.
PART-Aa. Employ Tavlofs series merhod b find rn approxinare solution ro find y ar \ = 0.1 eiren
- . - \'. .r0) - lb\.or..de,.nE o'uio'r\dcg.e".en
b s.hr'neilloLL,Cb) rle''.,odrcd,e,oo:1- o9\ ),
c. Givtr q=xr(Hy) andy(r) = r. y(l,l)= 1.231, (1.:): r 5.1s, y(r3) = r.979 Elalulte
I1.4) by Adams B6b lbnh method. Apply cotrector lormula 6vi.e.
'ore:)-,- ,d : - ro' -,'b.aoor.,epLi.c..,,,d\ dry(0)= 0 and z(0)= I Takc h= 0.3Use licard\ nrthod 1o obtain rhe se..nd approunation to dre soluiion ol
--.,' \ 0 P.ren\r0l l.?,0 0\4. f'J tr.
Afply Milne s merhod to conrpute 104) gilen y'+ ry + r = 0. (0) =y(0 l) = 0.995, y'(0.1) = -0.0995. (0.1) = 0.9802. y'(0 2) = -0 196. !(0l)y'(0.3)=-0.1861
l.t(0)=0.
Deilc Cdcby-Riemann equ ioninca esia. fonn
Fird d analrtic tuncrion (z) v|ose real p!r! n
If (z) is a h.l..n,qrhrc tuncdon oaz, l[en show lhat
Dn.us the tra,Erorm ion w=z+1.
FiDd rhc BIT Nhich nmps rhe polnrs 2 = r. i, -t to rv=i.0.
Srarerheaxiomsolprobabihy IoranyNoerentsAandB.prorctlut,P(A! B)= P(A) - P(B) P(A^B) (06\rrrktAbox A contains 2 Nhne and4 black balk. Another box B'conrains s ivhire and 7 blackballs. A ball is tFnsfered fiotu the bor A ro dr box ts. Then a ball hdraNn nofl rlE box BFind the probability rMtn islhite. (o7nt!rk,lna ccnain..llcec 4'r; olthc boF and l% ofgirls are rallerthad l3m Iiurther.rorc 60r%
ofrhestudd.rsare girls.Ila srudent 6selecredftrandom aod h foud ro be taller rhan I 3mrihat,s $c prcbabihy thafthe student is a Enl? (07Nr{k,
a. The probabiiity density of a continuous mndotu \ldable is
p1\)=!"e',-lO<r<r Find rh. Aho fin,l the mean.
b. Obtain the nrean and variance ofbiiromialdntibnlionc h a resl on ?000 clscriic bulbs, ir Nas fou.d rLat rhe life ola parri.nlar make
disiiibutcd with an average liti 0120,10 hou6 and SD of60 honrs. Esrirnarebulbs likely $ butu loi.i) Mor. than 2150 houriir I es th,n ls50 h.nrriil \4ore rhan 19120 [oun bul less than 2160 h.nr\cnt '
1r t 0.dri:. A(t.81\ 0466t qL: -nJ--t.
= 11.07 for sdil.
a. hacnr, A 2090 ola mdoo sanple of900 school bols had s cerain slieht physjcatdelect ln anolher c y B, 18 5% of a rBndom sample ol 1600 school bots had rhc samedelict. h rhe diference bettreenrheprotonioB is sisnificanr) whylA nrnutncturr claimed that atlcas 9591olthe cquipment \rhich he suFptied ro a tacloryconibnned to specincations. An eramina.on of a sanrple ol I()(] pieces ol cqDiFme.rrc\raled tnat IE oathem wcrc aauty. Te$ hn claim ar a significance lc\clol1% and 5%
A set ottive similni.oids i5 tolsed 320 hmcs and rhe iesut is (07\r'rr'
0 7
112 7lhc dd,, {olLus r bnrom,r dEk'bunon h;l
Fourth Scmcstcr B.E. Degr€e Examination,Microcontrollers
ExplaiiTMOD& TCO\ ftgrldB Rith ns bn patEmwhil arc intemrphl Spelil] vecbr locxion orinleflups in 8051.
l.l2
x \\,ith near diaeranr, explah the inlenal shlctore olPl.0. (0r N{rrlt,b. Wrnc a prog[m to rcaJ snch r sho*n belou Ilsrirch is closed. tum ON thc LED ehe
ium oFF rhe LlD (rs \brrt
Nirh nxedarhg dia{nn,N ea eelperfrororclo.kwise. {$rrrkt
a. Wrne lhe seps Equned b tinslcr dara scnally on 8051.t. wrile a progEm io send Y sonallyon 805l. Usebaudnleof240o bauds.c. Brieily show conlml $old o13255 & specit mode selection
PAR'T ADn* the I v rhe FJ analoeous circnih for the mechanical sysen shown in Eig.Q.t(al wnhftcessary cquatioDs. (12^krn,
_.1,,-
- J;;
f.r tlre rctdioDal me.hanEalric.Q.lk)
srstem shown draN the torque vohage
D tr\ rhe ! lnaluou g'rfh
Fie Q t(b)
LedKrion rechniqk nnd : tor Irs O.llat.
F's.Q.2G)for ihe bl..k dia{r,m \l.un in Fie Q.2(b) and lDd thcTF.
(03^brkn
lr'--\q\/I/ :'*r, \!tf\ "oi4;; itl";;;aV
l0ES43
Fis.Q.lO)
ras tho siAnal flow Farh and fiid rhe TF
1,"
tfie.Q.!(O
Fi.d ihe enorcoetlciems Ki. K, and & for rhe sysrem havins
cr.r= l0 .t rr.r=ot\ +)s+gFind (i so thar i = 0.35 Find the corespondnrg time domain specifications for
ri8.Q l(b)c. withrespect to a secon,i ord* system deli.e the tblnNrnc by dravina near response curve
and expresions i) Maxitrum ovqshoor (M)): ii) Timc delay (t!)r iii) Time c.nnant (T)iiv) Rh.fre (tr). (0t Ntlrt,
\Lhat are the necessart and $rfficlc.i co.ditions lbr a s,\,stcrn ro bc $able ac..rdrs roRourh-Hus zcriterionl (0,1M,rk,what value olK nakes the lblloqhs u.ity feedback sysrem $able?
c. Find hoN many ruols hare realpafis scalertban -lsr + ?"1+ 15. + 1s: o
tirr tft chara.rerisnc edmtidr
d, Hov nDny rooh ofde chancrerisrlc polynonial lie in rhe right hala.aol$plane,.d onjw !xn. Comnrenr on rhe stabihy olrhe sysreh.P^r =n+rJ -rJ +1.r+ "+,
i with respect to Nyquist citerion exp h in rhe lollowingi) EncncLemcntofapoint.ii) Anal)lic tunctior and ns snrgulaities.iil) Maapine theorem o. principle ofe-qnmenr.ia) lind rhe numbcr ofencnchmenh oaport A,n Fie Q.6l(a) and 6.1(b).
^ K(l+0 2sr(t +0 025srt'tr=;(r. o o rt,ir +o,tlos,l
Commcnt on the stability ofrle system Aho ii.dFor ihe plot shown deremin. ihe Tt (Iig.Q 7(b).
the range ofK lor stabiliry.
3,1s
a. what aE rhe aduntases ofstate spa@ @lysh?b A sysicm is described by the diferentihl equation
wherc y is the output and urepresdtltion olthe syslem
c. OblaiD the state equations for rhe
n ihe nput b tbe synem. Deremse rhe
LI
Rltt
el
netwo& shom in Fig Q.8(c).
:\1. li,Fig.Q.8(c)
(rie.Q 7(b)
lourth Semester B.E. Degree Exaninarion, Dec.2'0?
5
Fundamentals of HDL
liote. Ahsuet FIVE ltl q ueiioh:, vtzttizgat least TWO qudnds Tront .a.h part.
?:
;;2aa:
ae
a<
a!
a laplar lhc behavioEl and dataflotr style descdptio.s olVHDL. rvith the exanple oi anhalfadder (rolturk,
b. Compare vHDLand verilog (0.1ina*,c. lxplainslructuEofvHDlandr€rilo-gwitha.exanple. 106iusrk,
a W te VHDLcode lor 2x2 bns cohbinationalaraymxkiplicr(Dataflowsryledescriprion).(06 ivark,
b Listtlredah qpes used in VHDlrndre.ilog. (0,1\1srk,c. Wite a dataflo{ desoiptiob both VHDL and verilog, for a tull adder wiih active hieh
eiabl€Gn= l). (loit ark,
a. Dntlnguish beNeen iignll a$isnment and wiable asigDment sralsnents in VHDL. Also.rvrite vHDl progmin for behavioral dcscripiion or D latch usins sienal asisnment andvariab le ass ie trment statements, separxtely. (to)r3rk,
a write thc srrucxml description for tuIl addcr. using rro Lalfaddcm. {06 iurrktb. Explar bindiDg 6ctween trvo modules in leribs. (0,t Nt*k,c Wrne VHDL smduBl desciptioD oll-birs s]tctuonous up counler Lnns.IK maskr nalc. nip-nops. (loi[ k,
1
a Gile an exlmplecode loraprocedLrc anda tuncrion.b. wnte vH DL description ol a lulladder ri.gprocedure.c Write a vcrilog code for coNeting 0 naction binary to real usine lask
Lin6arDegree Eraminarion, Dec.201:r/Jan.20rslCs and Applications
\ntet Anst@ ur Fll/E fittt qtestiots, s.l.dntgatleasl TWO .lu.stio \ lron each putt.
PAR'T' . A
Define thc lollowing rcrnb as applied ro op ahp and mcnii.. rhen tlp,catyalues for IC?4lli)C\IRR; ii) Slew rarc: iii)PSRR; iv)l,rputofserloxage. (0s^Drl,Skct.h an op-aqr dned coul)led ditference amplilier cncu . EaplaiD the opcrarioi ot tlrcircui! and dcrire an equr ion for dre o urF ur votage. (orMerrJ)Desigra dirccr coupled non invening amplner ro amplift ll)l]tov sjgDatnsing lC74t to alevelof4 volts (0a }larln
:
,,
4ia:
=
Exr cncun dia$anr, e\planr cxpa. ito r coup led lolhge lblto\ er r tth rclclxnr derign
lxplain hos theuppcrcur.rl hequcDcy can be scr aorDcsi:n a upaciror coupled irledins aopLiner usbxsriD olTi outpu lolrag. anDlitude ol3 Vo16 md1l kflz. The lord r.skhn.e i(a7no
E\Dlain r4illeretle.tcoDpcnsation. ios 1l!ik.)L Lst r hc pEcaurions ro ire obsenrd 6rop-Amp nabihy. {06\r,rrtUsnB ,n LV108 Of Atup, design an ilvcring nnrthfiu ro amplify r loonv signal br airclori.Select irable r.equencrcompensarlon(h,,lr for LVIoB (2DA) (06rrrrk,
\\ir| neol .ncuit diacram and $alelim ar larious F.ints. cxpbnr dre working of highnrptrr iftledance tull rvak p,ecnion Ecritier. (l0r{!rk,ConpdE the pe.Jbrnance ola differenrhl inpurroutpul amplifiq with rhat ota diffeEnceanlrifier. (0a rhrk,Dcsi8n a prc.nion voltage sour.e ro set aD ourpul ol8.5V usins 741 oD A]nD. Thc suDDlyvollage nalsv and zenerdiodchasa roleunccolts% (06 tu*r9
c Using a ?41 Op Amp, design a Ecord order acrlve ligh pas nher tor a cu
l0EC46
a. LGt &d explain the characlristics ofthree teftinlllC resulato4.b. Eallainthe principle ofswilching reerlator. Mention its ad!anragesc. D6iCn a voLtage Esulstor usins IC723 to gel voltaSe orpur of
a. Explain 555 timeras tuonosrable multivibrabrvnh relclanr cir.un diagmm,
b. With a neat di,gram, explain lhe working ot seighred rsistor DAC.c Drlr tl eblocl drasraTo Pl I ard e\p a 1r [email protected]