IUSN IOMAT3T

Third Semester B.E. Degree Examination, June/July 2013

Max. Marks:100

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at least TWO questions from each parl

PART - AI a. Obtain the Fourier series exoansion of fr*t=l '' if 0<xl'

und hence deduce[2r-x, if n< x<2x

-ntllIthdt

-= -* -* ^*.""-' g l, 3, ' 52 "" "'

b. Find the halfrange Fourier sine series of it*l = { *'

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|.n-* il /,<x<t

Time: 3 hrs.Note: Answer FIVE full questions, selecting

constant.

a. Using method of leastoI leas square. I1I ax 2 3 4 5

v 0.5 2 4.5 8 12.5

b. Solve the following LPP graphically:Minimize Z=20x+l6ySubject to 3x+y>6, x+y>4, x+3y>6 andx,y>0.

c. Use simplex method toMaximize Z: x+ (1.5)ySubject to the constraints x + 2y 3 160, 3x + 2y < 240 and x, y > 0.

c. Obtain the constant term and coeffrcients of first cosine and sine terms in the expansion ofyfrom the followins table: (07 Marks)

-.: .,: t-t/^2 a. Find the Fourier transform of p1x;=]o ^^' ,^l

- o and hence deduce Isrn\-lcosxd*=1.L 0. lxl>a j x' 4

(07 Marks)b. Find the Fourier cosine and sine transform of(x): t"-a*, where a > 0. (06 Marks)

c. Fincl the inverse Fourier translorm of e-" . (07 Marks)

3 a. Obtain the various possible solutions of one dimensional heat equation u1 : c2 u** by themethod ofseparation ofvariables. (07 Marks)

b. A tightly stretched string of length ,t with fixed ends is initially in equilibrium position. It is

se1 ro vibrare by giving each point a velocity ,..4[+). Find the displacement utx. t).

c. Solveu*,,*uyy:0 givenu(x,0):0, u(x,1):0,u(1,y):0andu(0, y.):r., *n:[Hll?

fit a curve y - axb for the following data.. .

(07 Marks)

(07 Mar.ks)

x 0 600 120' 180" 240" 300 360"

v 7.9 7.2 3.6 0.5 0.9. 6.8 7.9

1of 2

(07 Mrrks)

\

5a.

b.

method

lrt , ,1A=l l 3 0 l.

l, o -4]Use f,(o) = [1, 0, 0]r as the initial eigen vector.

PART _ BUsing Newton-Raphson method find a real root of x * logrox :3.375 near 2.9,3-decimal places.Solve the following system ofequations by relaxation method:12x+y +z=31, 2x+8y -z=24, 3x + 4y + l0z = 58

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corrected to(07 Marks)

(07 Marks)

c' Find the largest eigen value and corresponding eigen vector of following matrix A by power

(06 Marks)

6 a. Inthe given table below, the values ofy are consecutive terms ofseries ofwhich 23.6 is thefthe series.6rh

b. Constructdifference formula.

find the first and tenth terms o

x 3 4 5 6 7 8 9

v 4.8 8.4 t4.5 23.6 36.2 52.8 73.9

an interpolating polynomial for the data

(07 Marks)

given below using Newton's divided(07 Marks)

c. Evaluate [--I "0" by Weddle's rule taking 7-ordinates and hence find log"2. (06 Marks)jl+x'

x 2 4 5 6 8 l0flx) l0 96 196 350 868 1746

Solve the wave equation utt ='{ux* subject to u(0, t):0; u(4, t):0; u(x,0):0;u(x, 0) : x(4 - x) by taking h: 1, k = 0.5 upto four steps. (07 Marks)

Solve numerically the equation # = # subject to the conditions u(0, 0 : 0 : u(l, t), t > 0

and u(x, 0) = sin 7rx, 0 < x < 1. Carryout computations for two levels taking h : / and

(07 Marks)

for the following square mesh with boundary values(06 Marks)

Fig.Q7(c)

la.

b.

8a.b.

c.

Find the z-transform of: i) sinhn0; ii) coshn0.

Obtain the inverse z-transfor. of 8"(22-1)(42-r)

Solve the following difference equation using z-transforms:

!n+zl2!n+t +yn:n with Yo:Yr =0

2 of2

(07 Marks)

(07 Marks)

(06 Marks)

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10E532

Max. Marks:100'. -

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Third Semester B.E. Degree Examination' June/July 2013

Analog Electronic Gircuits

Note: Answer FIVE full questions, selectingat least TWO questionsfrom each part

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PART-Aa. Explain the following terms with respect to semiconductor diode:

i) Diftrsion capacitance . -:...'

ii) 'Tr4nsition capacitance and ;.. ,'

iiD Rdveise recovery time. -..) ' (06 Marks)

b. For the clipping circuit shown in Fig.Q.l(b). Obtain its transftrlharacteristics to the scale

for a ramp input.which varies from 0 to 50 voits. Indicate slopes at different levels and

assume ideal diodes, (lo Marks)

* ,. , >-gx

Fig.Q.1(b)

-9-Design an ideal clamper circuit to obtaiiithe output waveform as shown in Fig.Q.1(c) for the-i.,-r l-n,+ /Od Marks\given input. (04 Marks)

b.

Fig.Q.2(b)

Design an emitter-bias network using the following data:

Icq- ll2lcr*0, Vcee : l/2Ycc, Vcc:20V, I615nj: 10mA, B : 120 and Rc = 4Re '

(06 Marks) .

I of2

+

3a.b.c.

Define h-parameters and hence derive h-parameter model ofa CE-BJT.

State and prove Miller's theorem.

i) FET and BJT and ii) Enhancement and depletion MOSFET ;

10E532(06 Marks)(04 Marks)

(04 Marks)

(10 Marks)i) g*; ii) ra;

(10 Marks)

For the circuit shown in Fig.Q.3(c), the transistor parameters are hib : 22{2' hn: -0.98,

h.r : 0.49 MA/V and h*:2.9 x 10{. Calculate: i) Input resistance; ii) Output resistance;

iii) Current gain; iv) Voltage gain; v) Overall voltage and current gain. (10 Marks)c-

"L-

(L: t 1+o

Fig.Q.3(c)

Explain the low frequency and high liequency response ofa RC coupled amplifier.(10 Marks)

Describe Miller's effect and derive an equation for Miller input and output capacitance.(06 Marks)

Calculate the overall lower 3db and upper 3db frequency for a 3 stage amplifier having an

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4a.b.

c.

5a.b.

6a.

b.

la.

b.

individual frequenry fr : 40 Hz and fz:'2 MHz.

PART - BExplain and analyze with the help of circuit a cascade BJT amplifier and list its advantages.

What are the effects olnegative feedback in arnplifier? Show how band,riatn of an(I0#iif,i]increases with negative feedback. (10 Marks)

Explain the operation of a class B push-pull amplifier and also show that its e[ficiency is

78.50Yo and max power dissipation condition. (10 Marks)

With a neat circuit diagram, explain the operation of a transformer coupled class A power

amplifier. (10 Marks)

State Barkhausen criteria for sustained oscillations, apply this to a transistorized Weinbridge

oscillator and explain its operation. (10 Marks)

Explain workin!. of a Hartley oscillator. In a Hartley oscillator L1 = 20 MH, L2:2mH and

C is a variable. Find the range of C for liequency is to be vaiied from lMHz to 2.5 MHz.(10 Marks)

8 a. List the difference between:ii, JFET and MOSFET.

b. For the circuit shown in Fig.Q.8(b) V6sq: -2.5V and Ig,q:2.5 mA find:

iii) zi iv) zo and v) A,. Assume Ioss: 8rnA, Vp: -6V and Yos:20 mO.*t9 V

>'> KiJu

HVol)

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Fig.Q.8(b)

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USN 10ES33

(08 Marks)(04 Marks)(08 Marks)

Third Semester B.E. Degree Examination, June/July 2013Logic Design

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Time: 3 hrs. Max. Marks:100Notel Answer FIVE full questions, selecting

atleast TWO questions lfrom each part.

PART - A

a. Simplify the following expression using Karnaugh map. Implement the simplifiedexpression using the gates as indicated.(a, b, c, d) : Im(0, 1,2, 5, 6,7, 8,9, 10, 13, 14, 15) using onlyNAND gates(A, B,C, D):nm (0,3,4,7,8, 10, 12, 14)+2d(2,6)usingonlyNORgates. (l2Marks)

b. Design a logic circuit that has 4 inputs,,the output will only be high, when the majority ofthe inputs are high, use K map to simplify. (08 Marks)

a. Simplify using the Quine - Mcclusky minimization technique. Implement the simplifiedexpression using basic gatesV: (a, b, c, d)::(2,3,4. 5. 13, ls) + Id(8,9, 10, t1). (t2 Marks)

b. Simplify the logic function given below using variable entered mappings (VEM) techniquef(A, B, C. D) : Im(0, 1, 3. 5. 6. 11, 13.1 + Id(4, 7). (08 Marks)

a. With the aid of block diagram, clearly distinguish between a decoder and encoder. (04 Marks)b. Design a combinational logic circuit that will convert a straight BCD digit to an excess - 3

BCD digitsi) Construct the truth - tableii) Simplify each output function using k map and write the reduced equationsiii) Draw the resulting logic diagram. (12 Marks)

c. Implement a full substractor using a decoder and NAND gates. (04 Marks)

4 a. Implement the following Boolean function using 4 : 1 multiplexer

_ F(A, B, C) = Xm (1, 3, 5, 6) (04 Marks)b. Design a 2 bit comparator. (08 Marks)c. What is a look ahead calry adder? Explain the circuit and operation ofa 4 bit binary adder

with look ahead carry. i ,.:i .rr . (08 Marks)

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PART-B ;\

5 a. Differentiate sequential logic circuit and combinational logic cfuciiit;.. ,,' . , (04 Marks)b. Explain with timings diagram the uorkings ola SR latch as a swirch debouncer. (08 Marks)c. Explain the workings of a master - slave JK flip flop with functional table and timings

diagram. (08 Marks)

6 a. With the help of a diagram, explain the following with respect to shift registeri) Parallel in and serial outii) Ring counter and twisted rings counter.

b. Explain the workings of 4 - bit asyncluonous counter.c. Derive the characteristic equation of SR, JK, D and T flip - flops.

1of2

I10ES33

7 a. With a suitable example, explain the mealy and Moore model of a sequential circuit.(10 Marks)

, b. Design a synchronous counter using JK flip-flops to count the sequence 0,1 .2,4,5, 6. 0. 1r.2

At , use static diagram and state table. 1lo naa$$'//a \htV6^. Design a clocked sequential circuit that operates according to the state diagrEr$hbwn.-/-p

lmplement the circuit using D - flip - flop. - . l[2lt{arks)

.'r", 'F>.r1 \ ^ -, &&&; qE\ $>,r,t:*t -\ /'ryn ol.\;ultt"ry,. wa,b. wittr a suitable, example'6{ appropriate..ctbtp diagranl explain how to recop.ize a

' particular sequence. Ex l0ll."# ,. .,F" (08 Marks)

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L-/.A*\. * *),r. ,r. +/ \ -\'J/,\l !$'r1 . -/.1ti!r * L/*,r\-' )*/ ro)' t"r

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I]SN 06E534

(08 Marks)

Q2 (c), draw the dual(08 Marks)

L]-

(04 Marks)in Fig. Q3 (b)

Third Semester B.E. Degree Examination, June/July 2013Network Analysis

Time: 3 hrs. Max. Marks:100Note:I. Answer FIVE full questions, selecting

at leosl TWO questions from each part.2, Standard notstions are used.3. Missing dato be suitably ossumed.

PART_A1 a. Find the voltage to be applied across AB in order to drive the current of 10 A into the circuit

using star-delta transformation Fig. Q1 (a). (06 Marks)

b. Use mesh analysis to evaluate current I in the circuit shown in Fig.l (b). (06 Marks)

c. Determine the current and voltage across each resistor using node voltage method for the

network shown in Fig. Q1 (c). (08 Marks)I

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=B

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1rLFig. Ql (a)

2 a. Explain briefly graph, trees, links and cotrees of the network with suitable examples.(04 Nlarks)

b. Write the tie-set schedule for the network shown in Fig. Q2 (b), using tie set schedule obtainthe equilibrium equations on loop current basis.

c. Explain "Duality as applied to network, for the network shown in Fig.network.

\6a0-

E rL Fig. e2 (c)Fie. Q2 (b)

State and explain Millman's theorem.Using superposition theorem determine the cunent I in the network shown

given V = 10cos(105t+45), i, =16r/2r1rr105t and i, =10cos10't

3a.b.

c.

4a.b.

'12-

Fig. Q3 (b)f lB. vJ (u,In the single current source cicuit shown in Fig. Q3 (c), find the voltage V* inter change thecurrent source and resulting voltage V*, is the reciprocity theorem verified? (06 Marks)

State and explain Nortons theorem. (04 Marks)

Prove that an alternating voltage souce transf'er maximum power to the load when the loadimpedance is the complex conjugate ofthe source impedance.

Fig. Ql (c)

nig. Q1 (b)

Fie. Q2 (c)

a= 6D?0 A

1of2

(06 Marks)

---106E534

4 c. For the circuit shown in Fig. Qa (c), find the value of z that will receive maximum poweralso determine this power. (10 Marks)

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: Fig. Qa (c) Fig. Q5 (b)PART-B

5 a. Define Q of a series resonanl circuit. obtain hallpower frequencies in terms olQ and show' that the resonance frequency is the geometric mean ofthe halfpower frequencies. (10 Marks)b. Find the values ofl- for which the circuit shown in Fig. Q5 (b) resonant at ri frequency of

500 rad/sec. (06 Marks)c. A fixed condenser is placed in parallel with a fixed resistance connected in series with a

x^tri.variable inductor show that for resonance X='tc +"1"c -g:. (04 Marks)2 \2

6 a. In the network.shown in Fig. Q6 (a), a steady state is reached with the switch K is open att : 0. The switch is closed. For the element values given determine the values of Va(0 -) andVa(0 l-) (ro Marks)

Vr

I rt

-'.' Fig, Q6 (a)Why we need to study initial cohditions? A parallel R - L circuit is energized by a current

source of 1 A. The switch acroSs the source is opend at t : 0 solve for V. 9I and o v

all at

t : o* irR = 1oo e:, L -i.;. dt

,11r".u,Derive z-parameters in terms of Y parameters. (07 Marks)Find z-parameters foi the two-port network shown in Fig. Q7 (b). (06 Marks)

5v

b.

7a.b.

n++

- t J4o seo

f Vr { 5,00 u;f+t{l,

Fig. e7 (b) Fie. e7 (c)c.. Find ABCD constants and show that AD - BC : I for the network shown in Fig.e7 (c).

(07 tMarks)

a. Synthesize the periodic wave form shown in Fig. Qs (a) and find its Laplace transform andprove any formula used. (to Marks)

b. Using convolution theorem find the Laplace inverse of F(s) =

2 of2

Fig. Qa (c) Fig. Qs (b)

Fig. Q8 (a)

(s+l)(s+2)(s+3.1(10 Marks)

USN 10IT35

(07 Marks)

(07 Marks)

(06 Marks)(07 Marks)

(08 Marks)(06 Marks)

Time:3

Third Semester B.E. Degree Examination, June/July 2013Electronic lnstrumentation

Max. Marks:100Nole: Answer FIVE full questions, selecting

ot least TWO questions from eoch part.

I a. Explain with suitable example u".u*ffifr",r,o,r. (0s Marks)b. A Permanent Magnet Moving Coil instrument (PMMC) with Full Scale Deflection (FSD) of

100 pA and coil resistalce is 1 KO is to be connected into a voltmeter. Determine therequired multiplier resistance if the voltmeter is to be measure 50 V at full scale. Alsocalculate the applied voltage when the instrument indicates 0.8, 0.5 and 0.2 of FSD.

(08 Marks)c. Explain with neat circuit diagram and wave forms full wave rectifier tlpe AC voltmeter.

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Explain basic operation of digital multimeter with neat block diagram.

Meter 1DVM1.c. Explain with neat block diagram Digital Frequency Meter.

PART - BExplain with neat block diagram, operating principle of function generator.Elaborate with neat block diagram, conventional standard signal generator.

Suppose the converter can measure a maximum ol 5 V. i.e. 5 V conesponds to themaximum count of 11111111, if the test voltage is Vin: 1 V. Show the steps take place inthe table format in the measuement for the successive approximation tlpe Digital Volt

3a.

b.

4a.b.

..:c'

5a.b.

Explain sweep or time base generator with neat circuit diagram and wave forms, for acontinuous sweep CRO and triggered sweep CRO. (t2 Marks)Explain dual trace oscilloscope with neat block diagram. (08 Marks)

Discuss need for delayed sweep in digital storage oscilloscope. (04 Marks)

_[xplain basic principle of sampling oscilloscope with neat diagram and *r* for.fiu ,u.ury

Explain two tlpes of storage techniques used in storage oscilloscope with neat diagram.(10 Marks)

c. Explain with neat block diagram and waveflorms, frequency synthesizer in signal generators.

I of2

(06 Marks)

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10IT35

6 a. Derive an expression for galvanometer current (Ig) when the wheatstones bridge isunbalanced. (05 Marks)

b. An unbalanced wheat stones bridge is shown in Fig. Q6 (b). Calculate cunent in thegalvanometer. (05 Marks)

I . //\I r'sP-Y L -| $l -4ZEn-l ,r R e.-'"L/ '' -r-\

rov -f; \;]3;7 \tr;

l\/IVFig. Q6 (b)-f rts. ve (u/ . i:..,

c. Derive an ex@;ion for Lx and Rx which is a series impg{iurire in the Maxwell's bridge.And find series 6qu -ivalent unknown impedance, when C_r=0.0i pl Rr:470 KQ. Rz:5.1 KQ,Rl : I 00 KO ( lo Marks)

(05 Marks)7 a. List at least five advantaS$[electrical transducer.b. A displacement transducer ';ifth a shaft stro(eUf3.0 inch, is applied to the c cuit as shown

in Fig. Q7 (b) below. The total resistance ott$e potentiometer is 5 KO, the applied voltageVt is 5 V. When the wiper is at 0.9 furch from B. What is the value of output voltage V6.

.. (05 Marks)

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:i, rr E'ic r)7 /l'\. .-i:, Fig. e7 (b)c. Define Gaugg fd$6i. Derive expression for gauge factor ot-..briunded resistance wire strain

gauge. .-,'31 - ,t:,: (loMarks)

A a. Explaifr,.bhbto transistor. With neat diagram and output characteriSiticst How is it used as atransduber? (05 Marks)

b. I"S.zrt least five classifications of digital displays. _' . (05 Marks)c,.t"tisi out the requirement of a dummy load. Ald explain measurement of power by means of

- l;'a bolometer bridge. . ltgtrlarks;r

2 of2

USN

Note: Answer FIVE full questions, selectingat least TII.O questions from each part.

10E536

Max. Marks:100

(08 Marks)(05 Marks)

/.trzspace if V = --ll - ar P( I . 2. 3).

x' + I(07 Marks)

Third Semester B.E. Degree Examination, June/July 2013Field Theory

Time: 3 hrs.

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. PART-AI a. State 4nd prove Gauss's Divergence theorem. (06 Marks)

b. State and explain the electric field intensity and obtain an expression for electric fieldintensity due.to an infinitely long line charge. (08 Marks)

c. A charge of .-0.3 pC is located at A(25, -30, 1 5) crq and a- seqond charge of 0.5 pC at

B(-10, 8, 12) crn-'Find E at i) the origin i, P(15, 20, 50) cm. (06 Marks)

2 a. Discuss with relevant equations the potential field ofa syitem of charges and hence obtainthe potential field of a ring o f unilorm line charge density. (08 Marks)

b. Discuss current and current density and derive the-.gxpression for continuity "quu,riti *".u"t

c. Given the field E : 40 xya,+21xza9+2a,Y lm, ialoulate the potential between the two pointsP(1, -1, 0) and Q(2, 1, 3). (06 Marks)

3 a. State and prove the uniqueness theorem.b. Derive Poisson's and Laplace's equations.

.._ ac. Calculate numerical values for V and Sv at point P-in free

4 a. Derive an expresgiori for magnetic field intensity at a polirt P due to an infinitely longstraight filamgnt darrying a current I. Also obtain the magnetic field intensity caused by afinite lengthcunent filament on the z-axis. (08 Marks)

b. In an infuritely long coaxial cable carrying a uniformely current I if'&e imer conductor and

-l in the outer conductor, find the magnetic field intensity is a function of radius and sketchthe field intensity variation.

c. Discuss the scalar and vector magnetic potentials.

PART _ BDiscuss the force on a differential current element

(07 Marks)(05 Marks)

and also obtain the expression for force.(08 Marks)

b. Given a ferrite material which we shall specifr to be operating in a linear mode withB = 0.05 T, let us aSSUrle pr: 50, and calculate values for x-, M and H. (06 Marks)

c. Define inductance and derive the expression for inductance of a to,rodial coil of N turns anda current l. ...L,":.t-':) -; ,. (06 Marks)

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10E536

6 a. List the Maxwell's equations in point and integral forms for time varying freld. (06 Marks)b. Explain the retarded potentials. (08 Marks)c. Let p=105 FVrL e=4x10+F/nL o=0 and Su =0. Find K so that each ofthe following

r) D = (oax - zyay + 2za"1c trn' ) t\,H=(Kxa, +l0yar-252a,) Nm ^ VY'

ii) E=(2oy-Kt!- vrm +-r\)/'!' j"*b.I:=(r*r"1out)a. A/m p,\ (o6Markg'-$x=1y+2xtv"t) a" Atm _kt (06 Marks)

'1f,- G,'7 a. Start@-om Maxwell's equations, obtain the wave equations in free6qgtd. (07 Marks)

b. Derivel@xpression for depth of penetration. ^\t (07 Marks)c. Find the' lpfrh of penetration at a frequency of 1.6 F$D in aluminium, where

o=3S.2Mdr$yd F, =t.Alsofindy,LandVp. ,63fe, (06Marks)

L4,, ', /i \I a. Derive the expresildS.for reflection and transmissipg.olm"i.nt. for normal incidence at

pair of fields satisfies Maxwell's equations:

I O = (Oa. -2ya, + 2za"nC /m2)

Derive the expressi$.{br rellection and transmisslpt\ coBfficients for normal incidence atthe boundary betweenlfg{ielectrics. t# (09 Marks)

do*-for relenlVodiedrine@,b. Write a note on standing rf&, ratio.

interfice yield a 1.5 m spacing behftpprfixima vdth the fust maximum occuning 0.75 mfrom the interface. A standing Wftft/}fiio of 5 is measured. Determine the intrinsic

- impedance n.of tlre unknown (05 Marks)

D. Wrrte a note on $ancmg WeFatlo. 0.. . (06 Marks)c. A uniform plane wave in"6iirpartially rqflpg6y' from the surface of a material whose

properties are unknown. Mea${ilnqrts of\# electric field in the region in front of the

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