USN 10ls{4,T31

6Se

€^Q, Eemmester B"E" Degree ExaminaEngineering Matlrerma

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Third

Tirne: 3 hrs.

2a.

Note: Answ,er any FIVE fwll qwestiows, selectingatlesst TWO qwestions frorn er*ch part"

PART _ "4.

Max. Marks:100

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a. Find the Fourier series for the funotion (x) : x(2n -1

44 1[lL - I

-:l-L-.]--L-----8 '' 32'52

b. Find the half-range cosine series for the function (x) : (x - 1)'in 0 < x < 1.

c. Obtain the constant term and the co-efficient of tLe I't sine and cosine terms in

(07 S{arks)

(tl6 h{arks)the Fourier

(0? N4arks)

(S7 Marks)

(06 Marks)

(07 Marks)

the method of separation of{07 Marks}

(S7 &[arks]

(06 N{arks)

Sotrve the integral equation :

0o(

itrr,.ora0d0=]t:"' 0(crs'. *.n.. evaluare f

=# ot

,i [ 0" cr>l j t

Find the Fourier transform of (x) : e '.

series of y as given in the follorning table

Find the infinite Fourier cosine transform of e-*' .

Solve two dimensional Laptrace equation u,, * ur, : 0 byvariables.

Sclve by graphical rnethod :

MaxZ:xf1.5ySubject to the constraints x + 2y < 150

3x+ 2y <244x>0;y>0.

Solve by simpiex method :

maxz:3x + 5ysr.rbject to 3x * 2y < 18

x<4y<6,x,Y)0.

h

a.

b. Obtain the D'Alembert's solution of the wave equation utt: C2u,, subject to the ccnditions

u(x, o) : (x) ura ${*,0) = o. (s6 Marks)

^^)c. Solve the boundary value problem * = .'*. O ( x( ,t subject to the condiiions

ot hx"-

*(r,t)=o; 9(/,t)=0, u(x, o):x.ax ax

4 a. Find the equation of the best fit straight line for the following dlata and hence estim.ate thevalue of the dependent variable corresponding to the value of the independent variable xwith 30. (87 Marksi

b.

aole.

x t, I 2 aJ 4 5

v 9 ,18 24 28 26 2{)

X 5 t0 t5 2A 25

v t5 [9 LJ ) 6,, 30

t ot2(S7 Marks)

1OMAT31PART _ B

a. Using the rnethod of false position, find a real root of the equation x logrox - 1.2:0, correctto 4 decimal places. (07 Marks)

b. By relaxation rnethod, solve :

iOx+2y*z:9; x+iOy-z:-22; -2x+3y+102:22. (06Mar1<s)

c. Find the largest Eigen vatrue and the corresponding Eigen vector for the matrixla -z 21

l-, 3 -llurirgRayleigh'spowermethod,takingxo:[1 I 1]r.Perform5 iterations.ttL2 -1 3l

(07 Marks)

a. Find the cuhic polynomial by using Newton's forward interpolation formula which takes thefollowing vaLues.

F{ence evaluate f(4). (07 Marks)that approximate the functionb. Using Lagrange's formula, find the interpolating polynornial

described b), the following tabie.

F{ence find (3,).5.2

.fc. Evaiuate J

1og" x dx using Weddler's rule by taking 7 ordinates.4

7 a. Salve E,x * Lrly : 0 ira the foilowing square Mesh. Carry out two iterations.

(05 Marks)

(07 Marks)

(07 Marks)

o

a

o

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cl.1- LI? c{q

!lt Ur q6

rJg u.,

t

lo

I.f "x

from one end to any point 't' of a

with boundary condition u(0, t) :

0<x<trand u1(x, 0) :0 solve byl<x<5 "'

(06 Marks): 0 and u(4, t) : 0 and u(x, 0) :

(07 Marks)

- ") ate-u+ 5a- lt) . (07 Nlarks).n!

(06 Marks)

; given yo : yr : 0 using(07 Marks)

b.

Fig. Q7(a)The transverse displacement of a point

vibra;t1i1g string satisfies the equation :

Solve the difference equation i )n 2

Z - transformation.

o O'5- a

at a distance xaa

^/- ^1,ou ^-oua -'J a

?fi' Ax"I zox for

u(5, t):0 and initial condition u(x, 0) : I _.:"" . :'l5(5-x) for

taking h : i, k : 0.2 upto t : 1.

Find the solution of the equation ux1 : 2u1 when u(0, t)x(4 - x) taking h: i. Find values upto t: 5.

8 a. Find the Z - transformation of the fbtlowing : i) 3n - 4 sin

Find the inverse Z -,transformation of 422 -22z" +52" +82-4* 6yn+r u 9yn :

nk*>F**

2 af2

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x 0 II 2 5

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N{ATDIP3OI

Max. Marks:100

(06 Marks)

(07 h{arks)({}7 Marks)

(06 Manks)

(07 Marks)

(07 Marks)

(06 Marks)(07 lVtarks)

(07 Marks)

(06 Marks)

(07l\{arks)

(0T lVtarks)

(06 Marks)

{07 }/iarks)

Third Semester B.E. Degree Examination, .nune/July 2016Advanced Mathematies - I

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Time: 3 hrs.

Note: Answer any FIVE fall qaestions"

a. Express the complex number(1+ iXl+ 3i) .

(i + si)

b. Find tire modulus anei amplitude of lr* cos0 + i sin0.c. Find the cube root of 1 - i.

Find the nth derivative of eu'cos (bx + c).

Find the ntl'derivative of,6x

(x-2)(x+2)(x-l)

If y: sin-lx, prove that (1-^')pr, -(2n+ l)xyn*r-n2yn:0.

Find the angle of intersection of the curves 12 sin 20 : az , 12 cos20 : b2.

Find the nodal equation of the curve r(1 - cosO) :2a.Expand iog (secx) upto the term containirag xa using Maclaurin's series.

b. Evaluate

a. Ifu: xt - 3*y' * x * e* cosy + 1, show that u", * uyy: 0.

(n \/ \b. if u=fl 1, y.'

l"prou. rhatxu,*yuv I zu,:0.\Y z x)

, 6(u,v,w)c. Ftnd #, whereu:x* Y*2, v:y+ z)w:2.a(x,y,z)

5 '"a.

Obtain reduction formula for Jcos'x dx, where n is positive integer.

ball))

J J (*- +y- +z

-b -a

'1dzdydx.c. Evaluate

l af 2

(07 Marks)

MATDIP3Ol

6 a. Prove that: i) I(n+1) = n I(n) and

b. Frove that B(m. ,r,- f(m) f(n) .

I(m + n)

r/2c. Showthat I

0

ii) f(n +1) : n! fo,r a positive integer n. (06 Marks)

(07 Marks)

,(07$!ark$

(06 Marks)

(07 Marks)

(07 Marks)

(06 Marks)

(07 Marks)

(G7 Marks)

7a"

b.

8a.

Solve I = (r* + y+ l)2 .

dx

Solve ye*Y dx + (xe'Y + 2y) dy:0.

Solve !I*ucotx=cosx.dx

sorve tJ,. o**9y = 5.-r^.dx' dx

Solve (D' - 4D + 13)y: cos 2x.

Solve (D' + 2D + l)y : * + 2x.

b.

c.

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sq. '

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Js*odo=n"

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USN

2a.b.

3 e. For common base configuration shown in Fig Q3(a). Find r", zi, 26 &t7d Ay.

10ES32

(06 Marks)

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Third Semester B.E. Degree Examination, June/Juty 2016

Analog Electronic Gircuits

Time: 3 hrs. Max. Marks:1,00Note: Answer FIVE fzill qwestioms, selecting

at le&st TWO questiorus from eaclt part"

PART - AI a. Explain Reverse recovery time of a semiconductor diode. (05 Marks)

b. The Fig. Qi (b) shows two way clipper. Determine its output wave form. Assume diodedrop of 0.7V. (S7 Marks)

Fig. Ql(b)What is clamper circuit? Explain the operation of Positive and Negative clamper circuits anddraw the wave form. fAssumc Ideal Diode]. (CI7 Marks)

What is transistor biasing? Discuss the causes of bias instability in a transistor. (06 Marks)

Derive the expression for Ie, Vcr and S(Ico) for voltage divider bias using exact analysis.(S7 Marks)

For the circuit shown in Fig. Q2(c). Find Ie, Ic, VcE, Vc and VE. Assume $ : 100,VtsE : 0.7. (o7lr{arks)

Fig. Q2(c) lr.#v,n

rJ;4cv)

u{:o'4A"{6: lf|l'tt'

1 af2

Fig. Q3(a)

b.

108S32

Derive an expression for zi, zs, Ay and Ai of a CE fixed bias configuration using r. model.(07 Marks)

Usirag h-parameter model fbr a transistor in C.E configuration. Derive expressions for Ay, z;and A,. (07 Marks)

An ampnifier consists of 3 identical stages in cascade; the bandwidth of overall ampli.fierextends froni 20Hz to 20KHz. Caiaulate the band width of Individual stage. (s6 Marks)Describe miiler eff.ect and derive an equation for miller input an<i output capacitance.

(07 Marks)Draw and explain frequency response of an amplifier and briefly discuss,, t&w effect of

4a.

b.

5a.h

C.

6a.

b.

various capacitors on frequency response.

BART-_-EExplain the need of cascade amplifier and list the advantage of this circuit.

total harmoniic distortion.

w'ith neat circuit diagram explain the operation of B"[T Flartley oscillator.

With block diagram, exptrain the concept of feedback. List the advantages of negativefeedback. (07 Marks)Derive the expression for input resistance ( R.ii) for voltage series feedback amplifier.

(0? Marks)

Draw input and output wave fcrms of Class - A, Class - B and Class * C power arnplifiersbased on the location of Q - point, and briefly discuss. (06 Marks)Draw the circuit diagrarn of series.fed directly couptred Class - A ampiifier. Give theexpression for dc power input and a.c power output and show that efficiency is 25Yo.

(07 Marks)What is Harrnonic distoilion? Calculate the harmonic distortion conrponents for an outputsignai leaving fundamental arnplitude of 2.5V second harmonic amplitude of 0.25V, thirdharrnonic anrrplitude of 0.1 V and fourth harrnonic arnplitude of 0.05V. Also calculate the

(07 Marks)

(06 Marks)

(07 Marks)

($6 Marks)I O,.

b.

Ea.b.

c.

(..

i) The &equency sensitive arrns of the wien bridge oscillator uses C1 : Cz:0.001pF andR1 : i0kf} while R2 is kept variable. The frequency is to be varied from lOKHz to50KHz by varying Rz. Find the minimum and maximum values of R.z.

ii) Design the value of an inductor to be used in Colpitts oscillator to generate a frequencyof 18MHz. The circuit is used a value of cr : 100pF and, C2: 50pF. (07 Marks)

With neat cia"cuit explain the working of series resonant crystal oscillator. A crystal hasL : 0.1H, C : 0.01pF find the series resonating frequency. (s7 Marks)

Define transconductance g,, ?fid derive expression for gm. (06 Marks)With equivalent rnodel of JFET comflxoll drain confrguration. Obtain the expressioil for z;, zoand Ar. (07 Marks)For comrnon gate arnpiifier as shown in Fig Q8.(c), gm 2.8ms, 16 : 50kf}Calculate zi, zodnd Ay. (07 Marks)

**aa*2 at2

€o's't){Fie. Q8(c)

t"',ffi'r\,{ LTBRARY 7-<USN

Q\--1,'Third Semester B"E. Degree

Logic

Time: 3 hrs.

n xa rnin dhffiT{rir e/July 20I 6Design

Note: Answer *ruy FIVE full qwestions, selectittgatleast TWO qaestions.from each part.

PART - A

1 a. Explain the following canonical form :

i) F(x,Y,z)=X*XY+xZ

ii) F(x,y,z) = (x + z)(x+ y)(y + z) ,

(a, b, c, d) : nM(1, 2,3,4,9, 10) + nd(0, 14, 15).

c. Find all the minimal SOP expression of(a, b, c, d) : Z(6,1,9, 10, tr3) + Id(l, 4, 5, 11, 15) using k - map.

10ES33

Max. Marks:100

(10 Marks)

(05 Marks)

(05 Marks)

o

o

o.

.ooo

3s

=hio It

cco.5&(i=f,

0 :lq

OE-o

oBEe

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botr

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o.!oi/; .9,6=3o@tEGC!o<9>,!oo'd ol)

o=t+9=o5q

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o.

b. Find the minimai POS expression of incompletely specified Boolean function using K-rnap,

2 a. Find all the prime implicants of the function :

(a,b,c,d):L(7,9,L2,13,14, 15)+rd(4, i1)usingQuine-MaClusky'salgorithm.(10 Marks)

b. For a given incomplete Boolean function, find a minimal sum and minimal productexpression using MEV technique taking least significant bit as map entered variable.(a, b ,c, d) : I(1, 5,6,7,9, I l, 12,13) + Id(0, 3, 4). (10 Marks)

3 a. Implement the function using active low output dua12 : 4 line decoder IC7 4139

i) f,(A,B,C): Xm (0. 1, 2, 5)

ii) 0(A, B, C) : nM(l, 3,4,7). (10 Marks)'b. Design priority encoder with three inputs, with rniddle bit at highest priority encoding to 10,

most significant bit at next priority encoding to 11 and least significant at least priorityencoding 01. {trS Marks)

4 a" Define multiplexer and demulitplexer and draw block diagram. (04 Marks)b. Design 4 : 1 multiplexer, draw the ckcuit using gates. (06 Marks)c. Explain how will you irnplement the following function using implernentation table,

F(A, B, C, D) : Em(0, l, 3, 4, 7 , 10, 12, L4) with A, B, C as setrect lines. (10 Marks)

PART - B

a. Design full adder and draw the cilcuit using two input NAND gates. (07 Marks)b. Design and draw the circuit of look ahead caffy generator using gates. Draw the block

diagram of 4-bit parallel adder using look ahead carry generator. (10 Marks)c. Design single bit magnitude comparator and draw the circuit. (03 Marks)

1 of 2

6a.

b.

ta.

l0ES33

Obtain the following for SR flip-flop :

i) Characteristic equationii) Excitation tabieiii) State diagrarn. (06 Marks)With the help of a schernatic diagram, explain how a serial shift register can be transformedinto a i) ring counter ii) Johnson counter. (04 Marks)Design mod6 synckonous counter using D-flip-flops. (t0 Marks)

A sequential network has one input and one output the state diagram is showh in Fig. Q7(a).Design the sequential circuit using T flip-flops. (10 Marks)

JoluG

A

N s\'

b t 8to

\\0c

i\o

o\\

Fig. Q7(a)transition table, state table and state diagram for the

(tr0 Marks)

@

Derive the transition equations,following.

a.

h.

Write notes on :

Mealy and h4oore modeiState machine notation.

{<*rFA*

2 ofZ

Fie. Q7(b)

(20 Marks)

USN 10rT35

016

Max. Marks:100

(07 Marks)

working of successive approximation(07 Marks)(07 Marks)

slope integrating type(05 Marks)

(08 Manks)

(04 Marks)

(10 Marks)

Third Semester B.E. Degree Examination, Ju

Electronic I nstrumentation

Note: Answer FIVE full questions, selectingat least TWO qaestions.from each part.o(J

<J

!o.

()ao!

6 ^t()X

bo-

d9

=r)aollt€'=+.:Ndtsibol|ooi-do

o>3si.:

5d

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a6

a3 si

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o-;trEo!eaj;66=-tE!o

bood b.t)

go

o!

U<-i c'i

o

z

9-E

Time: 3 hrs.

3a.b.c.

PART _ Aa. Explain the following with examples:

i) Accuracy ii) Precision iii) Resolution (06 Marks)

b. A component manufacturer constructs certain resistances to be anywhere between i.14 Kf)and 1 .26 Kf) and classifies them to bp 1.2 Kf) resistors. What tolerance should be stated? Ifthe resistance values are specified at25"C and resistor have a temperature coefficient of+500 ppm/'C. Calculate the maximum resistance that one of these components might have

at75"C. (07 &{arks)

c. Determine the reading obtained with a dc voltmeter in the circuit Fig.Ql(c). When the

switch is set to position 'A', then set the switch'to position 'B' and determine the readingobtained with a HWR and FWR ac voltmeter.

I€actov ,rum 'rka--Laoil*

Fig.Q1(c)

a. With a neat block diagram, explain the principle and

DVM.b. Expiain with the help ofblock diagram the operation of a DFM.c. With a block schematic, explain the principle and working of dual

DVM.

Explain C.R.T. features briefly.List the advantages of using negative supply in C.R.O.Describe with a diagram and waveform the operation of a dual trace CR.O in ALTERNATEand CHOP Mode. (08 &Iarks)

4 a. With a block diagram, explain construction and working of digital storage oscilloscope.(10 Marks)

b. Draw basic block diagram of a delayed-time-base (DTB) system. Sketch wavef,orm andexplain the operation. (10 Marks)

PART _ BWith a block diagram, explain modem laboratory signal generator.Draw the block diagram of a frequency synthesizer using PLL. Explain its operation.

(10 Marks)

I of 2

a. An unbalancedGalvanometer.

Wheatstone bridge given in Fig.Q6(a). Calcuiate the

10IT35

current through

fr*2,5RLt-

=lAR-*

b. State and derive the two balance conditions for a Wein bridge.c. The arms of an ac Maxwell's bridge are affanged as follows:

AB and BC are non-reactive resistors of 100 f) each, DA a standard variable reactorLl ofresistance 32.7 O and CD consists of a standard variable resistor R in series with a coil ofunknown impedance Z,balance wagfound with Lr : 50 r,r*H and Zt: 1.36 R. Find R. and Lof coil. (06 Marks)

{\

la.b.c.

With a neat diagram, explain differential output transducer.State the advantages and limitations of thermistor.

(07 Marks)(07 Marks)

(07 Marks)(07 Marks)

(06 Marks)

(05 Marks)(05 Marks)(05 Marks)(05 Marks)

A displacement transducer with a shaft stroke of 3.0 in. is applied to circuit of Fig.Q7(c).The total resistance of potentiometer is 5 KO. The applied voltage Vt is 5V when the wiperis 0.9 in. frorn B, what is the value of output voltage?

BFig.Q7(c)

a. With a diagrarn, explain selfbalancing bolometer bridge.b. Explain piezo electrical transducer with a circuit diagram.c. Stam important features of LCD displays.d. Write short notes on LabVIEW.

***{<+

Fig.Q6(a)

2 af2

108S36USN

Time: 3 hrs.

a.

b.

c.

Third Semester B.E. Degree Examination, June/Juty 2016Field Theory

a.

c.

3a.b.

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c.

4a.

Max. Marks:100

Note: Answer uny FIVE full questions, selectingatleast TWO questions from each part.

PART _ AThree point charges Qr : -1 p., Qz: -2 pc and Q: : -3 pc areplaced at the corners of anequilateral triangle of side 1 m. Find the magnitude of the electric field intensity at the pointbisecting the joining Q1 and Q2. r (07 Marks)Derive an expression for the electric field intensity due to infinite line charge. (08 Marks)

Let d =Qy'r- g*yh^ *(+*y, - 4*'h, *Q*y' - +rh,. Determine the total charge within

a volume of l0 lam3 located at P(i, -2,3). (05 Marks)

Infinite number of charges each of Qnc are placed along x axis at x: 1,2,4,8,........@.Find the electric potential and electric field intensity at a point x : 0 due to the all charges.

(06 Marks)Find the work done in assembling four equal point charges of 1 prc each on x and y axis at*3m and t4m respectively. (06 Marks)Derive the expression for a capacitance of a parallel plate capacitor. (08 Marks)

Explain Poisson's and Laplace's equations. (06 Marks)

Find E atP(3, 1,2)for thefieldoftwoco-axialconductingcylindersV:50Vatp:2mand V :20Y at p = 3m. (08 Marks)Using Poisson's equation obtain the expression for the potential in a p-n junction. (06 Marks)

An infinite filament on the z-axis carries 20n mA in the a, direction. Three uniformcylindrical sheets are also present, 400 mA/m at r : I cm, - 250 mA/m at r : 2 cm,400 mA/m at r:3m. Calculate H4 at r:0.5, 1.5 and 2.5 crn in cylindrical co-ordinates.

(tr0 Marks)

If the vector magnetic potential at a point in a space is given as I: tOOp' 5 i, wb/m, find

the following : (i) H (ii) J and show that f fr.4. = f for the circular path with p : L

(10 Marks)

PART _ BA conductor 4 m long lies along the y-axis with a current of 10.0 A in the i, direction. Find

the force on the conductor if the field in the region is E : O.OOS 6, Tesla. (04 Marks)Discuss the boundary between two. magnetic materials of different permeabilities. (08 Marks)A solenoid with air core has 2000 turns and a length of 5000 mm. Core radius is 40 rnm.Find its inductance. (08 Marks)

4.

b.

c.

I of2

108536

6 a. Find the frequency at which conduction current density and displacement current density are

b.

c.

equal in a medium with o :2xL0 o Ul*and e ,: 81.

Given fr: H-.i(ort+02) d* Nm in free space. Find E.

(04 Marks)

(06 Maiks)

Explain the concept of retarded potential. Derive the expressions for the same. (10 Marks)

7 a. The magnetic field intensity of uniform plane wave in air is 20 A/m in 6, direction. The

wave is propagating in the 6, direction at an angular frequency of 2x10e radlsec. Find:

(r) Phase shift constant (ir) Wavelength(iii) Frequency (iv) Amplitude of electric field intensity. (08 Marks)

b. Explain electrornagnetic wave in Good conductor. (08 Marks)c. The depth of penetration in a certain conducting medium is 0.1 m and the frequency of the

electromagnetic wave is 1.0 MHz. Find the conductivity of the conducting medium.,, (04 Nlarks)

8 a. Derive the expression fbr transmission co-efficient and reflection co-efficient. (08 Marks)b. Define standing wave ratio. What value of S results is reflection coefficient equals * t/z?

(06 Marks)c. Given y : 0.5, q1 : 100 (Q) , nz : 300 (a). E'-, = 100 (V/m). Calculate values for the

incident, reflected and transmitted waves. Also show that the average power is conserved.(06lVIarks)

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USN

Fig. Q1(c)

10E,534

(06 Marksl

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o($o

ox

d93'5o

l

d,Q.! c\(t.+

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3SO(Jdo

a0<CB Cd'ob}E!s=

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Third Semester B.E. Degree Exarnination, June/July 2016Network Analysis

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

ut least TWO questions from each part

PART _ AI a. Using source transformation find current through Rr in the circuit shown in Fig. Ol[?LrruU

b. Using mesh current method find current through 10Q resistor in the circuit shown in Fig.

Ql(b). (07 Marks)Find all the nodal voltages in the circuit shown in Fig Q1 (c). (07 Marks)

Fig. Ql(a) Fig. Ql(b)

2 a. With neat illustrations; distinguish betweeni) Oriented and Non-oriented graphsii) Connectod and un-connected graphsiii) Tree and co-tree.

For the network shown in Fig. Q2(b), draw the oriented graph. By selecting braches 4,5 and6 as twigs, write down tie-set schedule. Using this tie-sit schedule, Ana aU the branchcurrents and branch voltages. (12{ Marks)

tl)- 3Fie. Q2(b)

1 of3

5fL

il,\,

t-

3a.b.

State and illustrate superposition theorern.

108534

(05 Marks)Using superposition theorern, find value of i in the circuit shown in Fig.Q3(b). (08 Marks)Find the value of V* in the circuit shown in Fig. Q3(c). Verify it using Reciprocity theorem.

(07Marks)

+2rtv

Fie.Q3(b) Fig. Q3(c)

Show that the power delivered to load, when the load impedance consists of variableresistance and variable reactance is maximum when the load impedance(Zr) is equal tocomplex conjugate of source impedance (Z*). (10 Marks)Obtain Thevenin's equivalent netwot'k of the circuit shown in Fig. Q4(b) and thereby findcurrent through 5f) resisior connected between terminais A and B. (10 Marks)

Fig. Qa&) rot9V

PART _ BWith respect to series resonant circuit, define resonant frequency (f.) and half powerfrequencies (fi and f2). Atrso show that the resonant frequency is equal to the geometric meanof half power frequencies. (10 Marks),A. series circuit is energized by a constant voltage and constant frequency supply. Resonancetakes place due to variation of inductance and the supply frequency is 300H2. Thecapacitance in the circuit is 10pF. Determine the value of resistance in the circuit if thequality factor is i. AXso find the value of the inductance at half power frequencies.

(10 Marks)

In the eiicuit shown in Fig. Q6(a), the switch K is changed from position A to B t : 0. After

4?.

b.

5a.

b.

6a.di d:i d3i

having reached steady state in position A. Find i, "' . " ; and 4at t: 0'

di 'dt' dr'(10 Marks)

. Vr and d%

u,dt

(10 Marks)

In the circuit shown in Fig. Q6(b) switch K is opened at t : 0. Find i,

t-u

U:lo6-=-- v"T

di'dt

f,, e lol9 A

Fig. Q3(c)

Fig. Q6(a)

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Fie. Q6(b)

,r(f9lc.,)\,.#Y Xe\,,5/

"**=ol: 'it} loES34

\,uf utr:t$*" l;ljUsingconvo1utiontheoremfindtheinverseLap1ace.,,n,*o*\M,Z,,on,.la.

8a.

b.

i) F(s) = -- I

^ and ii) F(s)(s - a)- s(s + 1)

b. Obtain the Laplace transform of the triangular waveform shown in Fig Q7(b).e(t)

(10 Marks)

(10 Mnrks)

L2-

,, Fig.

r

Q7(b)

Define h and T parameters of a two - port network. Also, derive the expressions for hparameters in terms of T parameters. (10 Marks)Find Y andZ parameters for the network shown in Fig. Q8(b) (10 Marks)

f

vr-

Fig. QS(b)

*{<**{<

e -fu r .Tl-

3 of3