1. The question document contains details about an engineering mathematics examination including 5 questions from Part A and 3 questions from Part B. 2. The questions cover topics such as Fourier series, numerical methods, differential equations, and Laplace transforms. 3. Students are required to answer 5 full questions by selecting at least 2 questions from each part.

1. ,-*p,,, e,
USN 1OMAT31
Third Semester B.E. Degree Examination, June/July 2014
Engineering Mathematics - lll
,.t't..:,,,=,.-.. Time: 3 hrs. Max. Marks: tO€-dt
Note: Answer FIVE full qaestions, selecting -,,* '
*?=p=1 at least TWO questions from each part . ,,,n
,.,,,,,"
.f"
. .u*'"i pART - A :lir,,,
o I_4I!_I_______-G
6 1, :"' ''
'E&1*2
o "' 'n"''
E I a. 'Fitd.Fourier series of f(x) = 2nx- x' in 10, 2nl. Hence deduce ) ,+ =
j:-. Sketch
i' a (2n -l)" 8
I the grapt of (x). .. (07 Marks)
! ." /*n
E b. Fird FJffisine series of f(x) = r*[Tjx, where * i, po.,,,91Aiirn**... (06 Marks)
dc /"'/
$: c. Followins table eives current (A) over period (T):table eiies current (A) over
A (amp) 1.q&J J.3o 1.0s 1.30 -0.88 -0.2s 104
t (sec) 0 :I16 Tt3 T12 2T/3 5T. t6
''T
amplitude of first hdpqpnic. .
.= e.^l :
€s!.
b9p
o
E number revolution for time 3.5 units, gi
Z ffi
E
L
oq
H (07 Marks)
b. Solve by graphical method,
Minimize Z = 20 + l0x, under the constraints 2x, * x, ) 0; x, + 2*, < 40 ; 3x, + x, ) 0 '
4x, + 3x, > 60 ; x 1, x2 ) 0. (06 Marks)
I of2
(,
=
r ulluwllrx L4l,rlu H.IYUD uullvlrL ln, uvvr lrvrruu I r ,.
4'. lA(amp) 11.98:II.30 ll.0s 11.30 l-0.88 l-0.2s 11.98 |
f?@ ,-----------:::--
!"i Find amplitude of first htip';onic. -''i.'':' (07 Marks)
!.
b P,o -":/
E E 2 a. Find Fourier transformation of @;a
x"
(-oo < x < oo) hence show that e
^/,
is self reciprocal.
Etr
"
(07Marks)
A Z b. Find Fourier cosine and sine transfo#Mion of
E.E [x o<x<a d*W','
HF
f(x)=to x)a q,",'-. . (o6Marks)
_L
= 6 ?^,. t'r-i d<s<l -- ?l-cosx - rEF-
SX c. Solve integral equation Jffi)cossxdx={ ^
" -".'. Hence deduce I'-::t-ox=1.
!i;
"
" |.o 3=1,r, I x' 2
€*
: (oTMarks)
-ba .o'u ,o'u.E : 3 a. Find variour p*i#6f. solution of one dimensional wave equatipfl ^- = s'
== by separable
E fr a( ax'
E F variable.rnethod. (07 Marks)
aE .J"o" au "O'b
'E b. Obtaim solution of heal
e ,E ;, ; equation
# =
"' ff subj".t to condition u(0, t) : 0, u(.[ t) : 0,
E'E ""-t,
E E _qe'0): f(x). f' (o6Marks)
iE az,, A2,,
S 3, ,,,,,,,,,,o-*::'
go1r, Laplace equation *.*= 0 subject to condition u(0, y) : u(1, y) +u(X.; 0) : 0;
EP . (rcx)
: $
u(x, a) :
'ir[7.,J. (07 Marks)
J<
* i 4 a. The revolution (r) and time (t) are related by quadratic polynomi al r : atz + bt + c. Estimate i
lme J.) un ven
Revolution 5 10 l5 20 25 30 35
Time 1,2 1.6 1.9 2.1 2.4 2.6 'J

2. 1OMAT31
c. A company produces 3 items A, B, C. Each unit of A requires 8 minutes,4 minutes and2
minutes of producing time on machine Mr, Mz and Mr respectively. Similarly B requires 2,
3, 0 and C requires 3,0, I minutes of machine Mr, Mz and Ml. Profit per unit of A, B and C
are Rs.20, Rs.6 and Rs.S respectively. For maximum profit, how many number of products
A, B and C are to be produced? Find maximum profit. Given machine Mr, Mz, Mr are
-.
,.
available for 250, 100 and 60 minutes per day. 07 Marks)
,,,.,,.rry,r,
,i,:= PART-B .n=';';
u,fufi-, a. Byrelaxationmethod, solve -x+6y +272=85, 54x +y+z=110, 2x+l5y+Ag']2
-',r,,."'.1 .-{frSarks)
*'=}-==*yrtg Newton Raphson method derive the iteration formula to find the value o{rg.gcpocal of
i=popitive number. Hence use to find : upto 4 decimals.
- i,i
(06 Marks)
:r rayley method find numerical largest eigen value and:qgffssponding eigen
o 2 r'l
i t, r I
urirg ( I , l, 0)r as initial vector. Carry out, 10 iterations. (07 Marks)
l+
tt-,r",r:.;
6 a. Fit interpolatinffi#fomial for (x) using divided diffe-ranee formula and hence evaluate
f(z), given f(0) : -'+t:41) : -14,(4) : -125, (8) : -21, (i@ : f SS. (07 Marks)
b. Estimate t when (t) = ins inverse intemolatr ula siven : (06 Marks)
c. A solid of revolution is form€d'by rotatingi$out x-axis, the area between x-axis, lines
X:0, x: 1 and
lution is formed'b;l rotatingdout x-axis, the area betwee
curve throush the.ftilds wMthe followins co-ordinates.
x 0 U6 m* 3/6 4/6' sl6 I
v 0.1 0.8982 g 0.9s89 0.9432 0.9001 0.8415
rule, find vtifu€ of scby Simpson's 3/8"'ruIe, find vri@€ of solid.forr-ned. (07 Marks)
""S
"
"l- -)."i . d' o2t au
a. Using the Schmidt twqFJevel point 'formuld#Solve " : =::under the conditions
,Sf"
' 'r
{.-'-:..
&'
,^ r
u(0, t):u(1,0=0,iL''0; u(1,0):sinnx 0<x< t;tateh: i cr: :.Car-ry out3 steps
-1.. :1 .."-.'!u ., 4 6fl'
in time level. *$-u "' .;',.^*, (07 Marks)
% M/ .' .:.4: !t^2^2
b. Solve the-@ equation
o-l
= 4d-l subject to u(0, t) = u(4, O =,ifx;:o) :0, u(x, 0) = x(4-x)
ae 'ax2 J ) ' '*
,rkf #pl k: 0.5. '..
=._.... (06 Marks)
c. Seht * **= g in the square mesh. Carry out 2 iterations. ':::i::: w (07 Marks)
il dx' dY'
e r^^^ .nn ^ '- lT
""""'
'
8 a. State and prove recurrence relation of f-transformation hence find Zr(n), Zr(n').
b. Find Zr[e"e coshn0 - sin(nA + 0) + n].
c. Solve difference equation un*z * 6un*, + 9u, = n2n given u, = u, = 0 .
*:frf{.{.
2 of2
(07 Marks)
(06 Marks)
(07 Marks)

3. MATDIP3OlUSN
I of2

4. ,ffi
i
MATDIP3Ol
6 a. With usual notations, prove that
&-
... *. p(m,n) - {T) r(n) (o6Mesrgsh"
,:i';' T-lm _r- n ;1,:: '1,. -a::
i"*,--
I(m+n7
**r? rc/2 nt? dA - fl?,q
"*
-ffi Show that J.rffi e ae, [ + = ,, -'ffiQ]"iaanrs1
d3 o dJsin0 "-f-:^.&
c. H&raptrat 9(m, %) - 22^-t B(*, -) tu'Y
* (07 Marks)
-,*{p _M-
.+-,'" -***
7 a. Solve Ydf+"*+y+l)',ify(0):1. rffi)* (06Marks)
ox qff,. {.,11,.
{ s.. ". u " E"l-'
b. Sotve (x+1)ffip*e,.(x+r)' 5;;]jry- (o7Marks)
' 'dx qd* " ' '*'
"*d, ffi$,
c. sorve
{r(,.+).."'&*.rogx-..ffi, (07Marks)
8 a. Solve: (D'+ D2 + 4D + 4)y:refu-**$" (06 Marks)
b. Solve: (D' - 5D + 1)y: 1 + *1" ,,,,* .,, ,.*, (07 Marks)'Y " 'n'o
c. Sorve:
#-rfl..*rrffi % (oTMarks)
2 of2

5. 3# sr,*, E'
10ES32
USN
Third Semester B.E. Degree Examination, June/July 2Ol4 ::::.
.r-.!,'., Analog Electronic Gircuits :,,...,,..i,
, Max. MPfts:100tffifu:
Note: Answer any FrWfull questions, selecting ut .€uro'-'
.g
q.1-.= atleast fWO qn"'tioo'f'o* each part' ;lt,,, .,q*g
E = .',a'...... ,. ::::::: $
E " =1.;*"* PART - A
E 1 a. With fuct to a semiconductor diode, explain the following: : . "
K i) T#&Ition and diffusion capacitance. =t'i 'E
€ iD Revefs€rccovery time. ,-.1i ,i,,.' (06 Marks)
g b. Explain the op*ition of the circuit shown in Fig.Q.t(b). Op*;"pbtput waveform and transfer
.,
g b. Explain the operation of the circuit shown in Fig.Q.l(b). Dgw output waveform and transfer
Sg characteristic. [Aisume idealdiode]. ,.. ,'' (O7Marks)
€= a
gE r A *81*---------+
EI
.,^u,* ,r +" l*, y_,
E$ &,i a* t"',"
E^; otr*-Ffrtit H{E lllll v;,r
Ea I J' I'
E r 4 rfu.Q.r1u;6Jtr-"s-
: g c. Write the procedure for analyzing'&,hfamping circuit. Determine output voltage for the
; Z network shown in Fig.Q.l(c). Ass p.,ffuf0O0Hz and ideal diode. (07 Marks)
.E 6 ^
inrn
a=
g+oc)
do
gE 4ULJ ixe I -
E E Fig.Q.l(c)E E rrg.v.r(c,
E rL ,i{ 4 a;t ,:
Fo-L-!
; E 2 a. What#rbiasing? Discuss the factors causes for bias instability in a transi$g.r. (06 Marks)
g E b. With circuit diagram, explain Emitter stabilized bias circuit. Write the flbcessary equation.
H E *,T
(07 Marks)EE "q" ",flb(''lYrarKs,
i E .,s.{}For the circuit shown in Fig.Q.2(c), find Ic, Vs, VB, Rr and Sgco;. r f
.ffii Marks)
!- q- !..:
' +l€Y .
-i c.i | ?*
€ t 7,.,.,z 5.64 r
EI-_-J6 l-I
.>
o-6.
E Fig.Q.2(c)
H E --k " "lT (07 Marks
; g c.{ }For the circuit shown in Fig.Q.2(c), find Ic, Vs, VB, R-r and Sgcor. ^ |.W Marks
Xa +t?u
g;o '- ,r f--lf
ate'
'E s * *'* 'i R.{ Jlu.r**- - re V d l*o= --t
t
1 of3

6. 108S32
3 a. Draw the circuit diagram of common Emitter fixed bias configuration. Derive the expression
for Zi,Zo, Au using re model.
For the network shown in Fig.Q.3(b), determine r", Zi, Zo, N and Ar.
paP
(08 Marks)
(06 Marks)b.
.&
-Wh,
i ,t' ;.
'i' ; .....
x;,";fl,s-*
c.
4a.
b.
Fie.Q.3(b)
the amplifier circuit shown
(06 Marks)
(04 Marks)
Cmi : (1 - A") C1 and
(08 Marks)
in Fig.Q.4(c). Draw
(08 Marks)
c.
+lov
2,L1.st-
f=too
ca2ToPF
na":4?F
h;a = t loo
cL
es:4?9-
Corc= 9?ts
ecc: l?F
lbFa'
.:"'1
"{'1 "{'l'
.:: :.
::: '..-
5
.,tr i. -
d
What are the adv@ges of h-parameters?
Determine the high frequency
the frequency response curve.
a. Explain the need of
cascade amplifier. (04 Marks)
With block diagram, explain the concept of feedback amplifier. If an amplifier has
mid-band voltage gain (A, mid) of 1000 with fr- : 50Hz and fH : 50 kHz, if 5% feedback is
applied then calculate fr and fH with feedback. (08 Marks)
Derive the expression for input resistance (R1s) for feedback amplifier employing current-
Fie.Q.a(c) " - --;-t.-ll.
PART - B rq&,
*&#'
cascading amplifier? Draw and explain the block diagram of two-stagen
c.
series feedback.
2 of3
(08 Marks)

7. 108S32
A series fed class-A amplifier shown in Fig.Q.6(a) operates from dc source and applied
sinusoidal input signal generates peak base current 9 mA. Calculate Ice, Vcpe, Pp6, Pu" and
efficiency. Assume 0
:50 and Ver:0.7V.
6a.
,,:,
'.'{' .,.
1'l;,,-j., tl;
,.,,r:
"Ji,u,
(06 Marks)
_
,,,,,,,,-.,,.;r,,,,
ov
; -*h:l
h ii;ll
Vn-**
=,"=..#*
-{Uin.
the second
(08 Marks)
(06 Marks)
(08 Marks)
ln a transistorized Hartley oscil
frequency is to be changed from
two inductances are 2rnll and 20pH, while the
2050 k}lz. Calculate the range over which the
capacitor is to be varied. ,.,,,'.)*"u (04 Marks)
c. With circuit diagram, explain=t fuorking pfrncrple of crystal oscillator in series resonanto. wfin crcurt dlagram, explaln=Ir&worKmg p#ll*rpte oI crystal oscillator rn serres resonant
mode. A crystal has the foltrmring parameters L"
70.334H, C : 0.065pF and R : 5.5KO.
Calculate the resonant frgld6ncy. { (08 Marks)
*L' :/"]
8 a. Compare FET overffi@. '{.'dq (06 Marks)
b. With equivalesqffillfEuit obtain the expression for Zi W&i ,. for JFET self bias with
unbypassed Ru.L"r ', = (08 Marks)
c. The fixed=Biad configuration shown in Fig.Q.8(c) has Vorq =:12t Ioe : 5.625mA with
-
Ip55 :_{@, Vp : -8V and YDS : 40ps determine g*, r7, Zo and A;.*rj .,, (06 Marks)
)*
2 aw -!L{.(- 7zv*
63
^r,.^lr--1--
h
'**J3s ^'''
Vfn L ',, vty!
t,*_ I
:,
i t t*)
L,*t'n.t 6 *d.: to, Z #,,
Fig.Q.8(c)
,frl.***
b.
Fig.Q.6(a)
,
"'
the three point"hethod of calculating
"j-::.i
s11l.ry dass-B amP liner'
shiffi scillator using BJT.7a.
b.
3 of3

8. USN
nig. Q3(b)
6ob
2Ell
Fig. Q3(c)
068S34
trt
+
l4lgl'
Third Semester B.E. Degree Examination, June/July 2014
Network Analysis
Time: 3 hrs. Max. Marks:100
*'jt rT^,.^. /a--^-,.^- DttlD r..r, ^.,--t:^-- --t--ti-^ &
ru&:
*
*ote:AnswerFrvE'#;!ff:'f;;!:t
',
.*,,s!:: ::
.g I a'*'.iExplain : ..l,,y,,.; ''
E il yfr:tr"ral and bilateral elements *,*u."-"''.
"'
E rr,)
'ffigpendent
and dependant sources. -
*d,; (06 Marks)
I U. Oeteffi the power dissipated in the 2Cl resistor of the network shq&in Fig. Q1(b), using
E Mesh uffiffi, .,'*e"
, A (09 Marks)
X *-_*-p5w-i"
dt #H: ffigF .[I':[ I q*n
t I 6CI"V- " Tnn 9t^ i,r" * sv.E?
:E A' Fig. Ql(b) Fie. Q2(a)6.+
E-eE.
E qt c. Obtain expressions for an eqtivplent set o..f fur'bonnected impedances to replace a set of
€ g delta connected impedances. ' *u';,: (05 Marks)
a'F
o E -
t-d-";
g [ 2 a. For the network shown in Fig. a2ldmihrct the tie set matrix by selecting atree and there
! g b. Explain the principle of 'Duality' and its signifuance. (04 Marks)
dO
E : c. Construct the dual of the circttrt shown in Fig. @(4UV direct inspection. (06 Marks)
B'= l5n
€ r ;" nrnF
t€ r' T r I r
C€ .L --L -J- t
Ets '*l b. I .h J lsn
6! ..1,
rAA. aqQ Y* *+*$r*,
3$ .,,," Fig.e2(c) '4
O i d'
F .. ',d | -
.ioi{,h
(J-9
H ltr $ -t:.,-:.a9
X ,g 3 a. CatJq*Hta the current in the 6Q resistor of the circuit shown in Fig. Q3(Shsing the principle
i€ Mqp?^ o j ./ I
Eg A+ a I
i ,,&*" ru Fig. e3(a) 18'v I I -- la.fr**
; ru b. Verify reciprocity theorem for the circuit shown in Fig. Q3(b). (06 Marks)
o
o
z
E
o
o.
c. Find the power delivered by the 5fJ resistor in the circuit sown in Fig. Q3(c) are find the
current supplied by each source. Use Millman's principle. (08 Marks)
1 of3

9. 06ES34
4 a. Obtain the Thevenin's and Norton's equivalent of the circuit shown in Fig. Q4(a) cross A-B.
(08 Marks)
'r*-d I I "
#n"
44 I 3o l- asL ry*
ffi _ ^ l* r'L
{2,
'ZtL ry.;lli;,ff1,* tu Q: {e* &a E*iv - T- l4- &e.'
c dd t I -,*u-.""
,
-a
*ffi*** Fig' Q4(a) _
F""
b. Find the rdldb#,Rr for P.u* and the value of P*u* in the .O.:,.rl,ry in Fig. O,Oriou
Marks)
fl._f
wrgare
+
)'Smr
;^;;- F.,!*"
Z2: (10 - j
-'i'f"*
{lb'Q+rul
State and prove the condition for-#!ffi_ n&m power transfer through a completely variable
complex impedance load. yt*j * (06 Marks)
"rr,*
-td
..*^ PARf;b,
, -ff*' tfl
Define Q factor antroqry factor of i) R - I- andii)ffi C series circuits. (08 Marks)Define Q factor and o@ffQ factor of i) R - L and ii)$-": C series circuits. (08 Marks)
Two impedunr.r -Mt Zzn parallel are connecteffidffir:r with Zs. Find the value of
7r:2:n ryW.iorun""
of the terminals a - b of Fiffm). given 21 : (20
.+-1101:
c.
5a.
b.
Fa '!,
(06 Marks)
{'-;
ffie-
=:.1':,':j c. For the circuit shown in Fig. Q5(c), find the resonant frequency.
*{P ,.
(06 Marlt*),.' =.::''::" j
Fig. Qs(c)
2 of3
Fie. Qs(b)

10. E1
06ES34
6 a. In the circuit shown in Fig. Q6(a). The Switch 'S' is closed for a long time and is opened at
t: to. Find the voltage V"(t) for t > to. v(t) : A sin(rrrt + $o) volts.
.l,k,
(10 Marks)
,fu*
a
s'
'lPpr -;{"=%.,,,r.*,jj
,,-a: :::,": Fig. Q6(a) ,,,,.
'"lfr*f
-o. x "*/
In th8.&uit shown in Fig. Q6(b). The Switch 'S' is moved from pesit*ion (i) to (2) at t : 0.
-
-).
^
jtd.
::':::
tf the cil-ffi,aprn steady state at t: 0-. Find D2i at t:0+. ,{#
" (10 Marks)
qH- o.!E d
&,--*SJ -l Trb'lo'tff 7t^
Fie. Q7(b)
2'1s
+ 2;&q
c. Find ffiiat and finat vatues of I(s) =
t_r-jt..r?'
. using the' s(s' + 5)
{rf"'Oefine h-parameters and express them in laws of y - parameters.
b. For the network shown in Fig. Q8(b) determine eh Y and T parameters.
::
= (04 Marks)
,,:j08.Marks)
(SS ilIark$'__t
.' !::
,Prd',,.*
8
,.,,,,,,,,
a
".',-"t- ,r:t
,, }"tn-
.;"'
Fig. QS(b)
c. A reciprocal network is having A: 5, C :0.1 S and D:0.2. Find the value of B. (of Marks)
*rF***
3 of3

11. 108S33
Third Semester B.E. Degree Examination, June/July 2Ol4
=1.. Logic Design .-,.t.......;lfu'
Tiffb{ 3 hrs.s. Max. Ir&&:100
o"'"'
€ ,,,,..=,,:::
,.,,, Note: Answer uny FIWfull questions, selecting
E atleast TWO questionsfrom each part.
o.
d&"
E " *"::
- pART - A ::,
,.,::. ,
* *im rnrr-A
(D ',#a&s -,
E I a. AsAqA.2Ar isS{+21 BCD input to a logic circuit whose Wefr ii a 1 when Aa : 0, Aq : 0
f e and Ao : 1, or wl&ffiAa : 0 and &: 1. Design the simpleSt F.pssible logic circuit. (0s Marks)
boP
8.= b. Simplify the given hfution using K-MAP L1-.=
E; rm(O, 2,3,l0,ll.lr,li,l6,li, 18, 19,20,21,21,2'l). (06Marks)
-.o -'
"":l c. Design a three-input, one-tiJftput minimal two-level'"$6te combinational circuit which has an
'E H output equal to 1 when ma;or,i " f its inputs 4F.4 logic 1 and has an output equal to 0 when
s$
E "n majority of its inputs are at logffi. =. (06 Marks)
O, Y:J
!q:
I I h-pne6)Qq-s'1,
;o
E E 2 a. Find a minimal sum for the foilo@@{oolean function using decimal Quine-MocluskyO ! .a+:qe6gy. f
-
szi / - d n rA r^ r. z-^r-
A A method and prime implicant tablq re"dHfe$bfr F : 211,2,3, 5, 6,7,8,9, 12, 13, 15). (10 Marks)
f € b. For the given Boolean functi@@rmine;l minimal sum using MEV techniques using
A g t ,i : r,r,, r'*r7.
^
r I ,],-sl * 1^ 1a 1<
; E o. ior the glven Soolean runctl@dd etermme P* nmlmal sum usmg Nltrv tecnmques usmg
E * a,b,casthemapvariables f,ffD(3,4,5,6,4&;&J2,13,15). (05Marks)
e t c. Find a minimal sum for tlle$flowing Boolean fiaretion using MEV technique with a, b and
a, b, c as the map variables f,ff)(3,4,5,6, B&;&J2,13,15).
c. Find a minimal sum for tl-re&llowing Boolean fiaretion using
USN
5a.
b.
(do
o0ddd
E ! c. Frnd a mrnrmal sum tbr the.=bllowrng Boolean traretron usmg ME,V technlque wlth a, b ano
a-o : :--
fo H c as the map variables,,fiq 0, &, b, c): aabc+crabc+'*a.bc+Babc+Babc+abc+abc.
: h ,, ::,i" (05 Marks)
}Ed.i
,=EE
F I 3 a. Develop ttre;ogiaiaiagram of a2to 4 decoder with the folloft4lrg pecifications:
E : i) Active loyr&nable input; ii) Active high encoded outputs. Drffi,& IEEE symbol.
B [ ' *" ," ;];. (06 Marks)
fi q b. Oesiffi'b6mbinational circuit to convert BCD to excess - 3. -n'; (0s Marks)
f E c. Wr+ffie condensed truth table for 0, 4, to 2 line priority encoder witti a**fllid output where
; E tt#{r{ghest priority is given to the highest bit position or input with highest igilpx and obtain
I E , thb minimal sum expressions for the outputs ' {',i,,.' {96 Marks)
3=> q'
.H $ 4 a. How does the look-ahead carry adder speed up the addition process? (10,M'a1kg
* H " - - b. Implement a l2-bit comparator using IC7485. (04Marks)
L! I ,"-.1
#ffi" 4##
o{
J c..i
a)
o
z
d
1i
o
a
PART _ B
Explain the working of pulse-triggered JK flip-flop with typical JK flip-flop waveforms.
(08 Marks)
Explain switch debouncer using S-R latch with waveforms associated with switch
debouncer. (08 Marks)
How do you convert J-K flip-flop to S-R flip-flop? (04 Marks)c.
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12. 10ES33
6 a. Explain the working of universal shift register with the help of logic diagram and mode
control table. (10 Marks)
b. Design a synchronous counter to count from 0000 to 1001 using JK flip-flops. (10 Marks)
"
",-t-
{k*.7 a. A sequential circuit has two flip-flop A and B, two inputs x and y, and an output %*qffi"'ffiri
.. flip-flop input function and the circuit outf:t functions
t u. follows: *.t W
*
' ",'+= Je: xB + yB i Ka: xyB ; Js: xA i Ke: xy+A ; Z=xyA+xyBaQBtain the
**' ,,$gic diagram, state-table and state equations, also state diagram. ,.-=' ftiO Marks)
U.'*ffitize the system represented by the state diagram shown in Fig.Q.7(a). U$_$D-flin-flon."-n
dlg" J,q* .,""'' (10 Marks)}}u.
h""
x/v
x/z
" ,**{a %"*'
8 a. Design and implement a synchronob$$pit up/down counter using J-K flip flops. (10 Marks)
b. What do you mean by the Moore qtq$ffifiru Melay model of the state diagram? (04 Marks)
c. Draw the state diagram of a Mp$4&cffiqto detect as input sequence 10110 with overlap.
An output 1 is to be generate(ffin the sequffiis detected. (06 Marks)
#A^i'i+J
.?
id,rf ,f rF * * ,":*'
"sqill$-d,o{*
- ***#
%, %# a, q%P
M.% kI,,"
, fle.} *-.r e
. &'5 :" *,*4"'-
p#*** '.n' I s
4" q h..d ead
-q""ff
"r *fl
!_ .,
2 of2

13. USN
2a.
b.
10rT35
(10 Marks)
a full scale
of 0 - 10V,
series with
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
Third Semester B.E. Degree Examination, June/July 2014
Electronic I nstrumentation
Note: Answer any FIW full questions, selecting
atleast TWO questionsfrom each purt.
PART - A ,,''-,'"",,,
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air
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b.
I
Explain with a@t block diagram of TRUE RMS voltmelEsi; ''
^ _^^
Convert a basic D'l. onal movement with an internaln'@s,idance of 50O and
deflection current of,2,qA into a multirange dc voltrneter with voltage range
0 - 50V, 0 - 100V "4d, 0 - 250V. Connect thtu:*nultiplier resistances in
D'Arsonal movement. ,' ,,r ;,';: .
' ri;: _,ll**"'
With a neat block diagram, expla'{rirthe succes$ive approximation DVM.
With a neat block diagranl explain.{,hgj$igital frequency meter.
With a neat block diagram, explqrn the gffital purpose CRO.
With a neat block diagram, explain the typical p$,.T connections.
5a.
b.
6a.
b.
,::"""" ,,,'
7
,....,.a:"""
*1'r;", "b'
t
-
8
3a.
b.
4a.
b.
a.
b.
c.
With a neat block diagrarn" explain the digital ,i.lh#or.illoscope. (10 Marks)
With a neat block diugr explain the sampling osdillo-sc-ope. (10 Marks)
PART _ B
With a neat sqck diagram, explain the working principle of pulse.geqerator. (10 Marks)
With a nefi&lock diagram, explain the working principle of functiort'ge-lerator. (10 Marks)
,,,::,-:1,,,,,,r ,"'?,rr"'
Wridt,*neat block diagrarn, explain the Wein's bridge to measure the fre{berqpy. (10 Marks)
lffifh a neat block diagram, explain the Wagner's earth connections. -",,, '";,,,, (10 Marks)
Fxplain the construction and working of LVDT. flOMarks)
Explain the construction and working of thermistor. What are the salient features of it. ,
I :::
(10-MafI$)
Explain the following with relevant sketch: "'1'1i1i'
Photo electric transducer.
Piezo electro transducer.
RTD.
,({<**:fi

14. USN
3a.
b.
108536
(10 Marks)
a
Third Semester B.E. Degree Examination, June/July 2Ol4
Field Theory
'-ttt"tt:t"""'
Max. Mark$:,{@
Note: 'Answer FIVEfull questions, selecting
at least TWO fuestions from each pai. .. .,
:
l.;,. , PART-A
State and explain Coulomb's law in vector form. (04 Marks)
Two pfficharges 20 nC and, -20 nC are situated at (1, 0, O)m and.(d}u1l, 0)m in free space.
Determine,€lectric field intensity at (0, 0, 1)m. " (05 Marks)
A charge is'fuj{ormly distributed over a spherical surface of.rffi 'a'. Determine electric
field intensity et=etywhere in space. Use Gauss law. =
,,t
- (06 Marks)
State and prove diqgence theorem.
._
=,. "',.* (05 Marks)
''''-:,. {*i,
Determine the potential ffierence between two poinisdue to a point charge'q' atthe origin.
A metallic sphere of radius tO+in=&as a"*iface charge density of 10 nCk*. Calculate
electric energy stored in the system. (06 Marks)
The plane Z : 0 marks the bo betyeen free space and a dielectric medium with
dielectric constant of 40. Thp E field next to the interface in free space is
E = 13X + 40Y + 5OL V/m. De ine i on ffidbther side of the interface. (05 Marks)
i--i';1
.j"r'' "
State and prove uniqueud$b theoibtheorem.
'%,fl'"
State and prove unrquenb$t theorem. ,,,, r#l (10 Marks)
The two metal plates having an area'A' and a separatiUdfd' form a parallel plate capacitor.
The upper plate is-,IiB,I& at a potential Ve and lower plate ii gp,&nded. Determine:fhe upper plate is:Ii€Id at a potential Ve and lower plate is gf,&ndeO. Determine:
D Potential{istr-foutionD Potentialdjstr-foution
:r). th. elg$,{rt'field intensity
btu^i -..."'-.,;i
T.ime: 3
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la.
b.
c.
d.
2a.
b.
c.
d.
hrs.
C,
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z
d
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F
iir) Capaeitance ofparallel plate capacitor.
{"
4a.
b.
c-"
Statp,and explain Ampere's circuital law. (04 Marks)
, E' lain scalar and vector magnetic potential. *f'r.(ot Marks)
,,'The magnetic field intensity is given bV H=0.1y'X +O. iAlm. Determine drorpt not"
through the path P1(5, 4, 1) - P2(5, 6, 1) - P3(0, 6, 1) - P4(0, 4, 1) and current densifujf;=
(0SEVId&s)
PART _ B
Derive Lorentz's force equation. (05 Marks)
Obtain the expression for reluctance in a series magnetic circuit. (05 Marks)
Derive the magnetic boundary conditions at the interface between two different magnetic
materials. (06 Marks)
A ferrite material is operating in linear mode with B : 0.05 T. Assume p, : 50. Calculate
magnetic susceptibility, magnetization and magnetic field intensity. (04 Marks)
,,
lrrq'r'"
''
, ii"1;,ll
5a.
b.
U.
d.
I of2

15. "l
6a.
b.
c.
List Maxwell's equations in differential and integral forms.
Write a note on retarded potential.
108536
(08 Marks)
(06 Marks)
A circular conducting loop of radius 40 cm lies in xy plane and has resistance of 20Q. If the
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