4th Semeste Electronics and Communication Engineering (June-2016) Question Papers
1. )-f g,- Fc
Fourth Sernester B.E" I)egree Examination, June/July 2016
Engineering Mathematics - IV
Time: 3 hrs. lVlax. Marks:100
Note: 1. Answer any FIVE fwll qwestiorcs, selectirtg
atleast TWO qaestions frow each part.
2. Use o.f statistical tables pernaitted.
BART - A
a. UsingTaylor'sseriesmetho<i,solvey':^*y',y(0): I atx= AJ,O.Z,consideringupto4th
degree term. (86 Marks)
b. Using modified Euler's method, find an approximate value of y when x: A.2 given that
$=*+y andy: 1 when x:0. Takeh:0.1. Performtwo iterations in each stage.
CxJ
(87 Marks)
x : 0.8 given that
corrector forrnuia
(07 Marks)
applying Runge Kutta method given
(S7 Marks)
solution at the point x : A.4 of thet.
problem q*:*9-6y=0 given that y(0): 1, y(0.1):1.03995, y(0.2): 1.138035,
dx- dx
y(0.3) : 1.29865, y'(0):0.i, y'(0.1):0.5955, y'(:0.2): 1.258,y'(0.3): 1.873. (07 Marks)
3 a. Deflne an analytic function and obtain Cauchy-Riemann equations in polar form. (&6 Marks)
b. Show that u : e'* (x cos2y - y sin2y) is a harmonic function and detennine the
(07 Marks)
(S7 Marks)
rOMAT41USN
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2 a. Employing the Picard's method, obtain the second order approxirnate solution of the
followingproblematx:0.r,
:i =x+yz,
ff=r*u*, Y(0)=1, z(0)=-1. (05Marks)
Solve 9=l**, and *=-*o for x : 0.3 by
dx dx
y(0) : 0 and z(0) : L Take h : 0.3.
Using the Milne's method, obtaln an approximate
Using Adams-Bashforth method, obtain the
y(0) : 0, y(0.2) : 0.0200, y(0.4) -- 0.4795,
twice.
solution of + =x_y2 at
dx
y(0.6) - a.1762. Apply the
4t a. Evaluate using Cauchy's integral
)+; -)+l
corresponding analytic flinction.
/ ^t ^r
c. If (z) is a regular tunction of z, prove that | { , +5- }ltfrl' = qlt'k)l' .
ox oy )
formula ltortnld, around a rectangle with verticestt
" 7, _|
Find the bilinear transformation which maps 1, i, -tr
fixed points of the transformation.
Discuss the conformai transforrnation of w: 22.
l of 2
(S5 Marks)
to 2, i, -2 respectively. Also fiad the
(07 Marks)
(07 N{arks)c.
2. JU.
ii.
6a.
b,
the third urn,
7 a. The probability mass function of a variate X is
i) Find k
ii) Findp(x<4),p(X25),p(3 <x<6),p{x> l)
iii) Find the mean.
fGiven V;0. 6d.f =X2.59)
{< ,,< ,f n< n<
2 of2
Reduce the differential equation:
.d'v dv ,-1
x' * + x+ + (k2x2 - n')y = 0 into Bessel form and write the complete solution in terms
dx' dx
of r,(x) and r-"(x). (06 Marks)
Express (*): x3 + 2x2 - x - 3 in tenns of Legendre polynomials. (07 Marks)
If cr and B are the roots of rn(x): 0 then prove that
i o. crrp
Jxt,(ax)t,(Bx)dx =1;n,. r*)],, a = F. ({!7 Marks)
IOMAT41
PART _ B
The probabiiity that sushil wiii solve a problem is 1/4 and the probability that Ram will
solve it is 213. If sushil and R.arn work independently, what is the probabiiity that the
problem wilL be soived by (i) both of thern; (ii) at least one of them? (06 Marks)
A committee consists of 9 studeirts twp of which are from first year, three from second year
and four from third year. Three studelts are to be removed at random. What is the chance
that (i) the three students belong to different classes; (ii) two belong to the same class and
third to the different class; (iii) the three belong to the same class? (07 Marks)
c. The contents of tt'rree uros are: I white, 2 red,3 green balls,2 white, 1 red, I green balls and
4 white, 5 recl, 3 green balis. Two balls are drawn from an um chosen at random. These are
found to be one white and one green. Find the probability that the balls so drawn came from
b. Derive the mean and variance of Poisson distribution. (07 Marks)
c" The mean height of 500 students is l5lcm and the standard deviation is 15cm. Assuming
that the heights are normally distributed, find how many students heights i) iie between 120
and 155cm; ii) rnore than l55cm. [Given A(2.07):0.4808 and A (0.27):0.1054, where
A(z) is {he area under the standard normai curve frorn 0 to z > 0]. (07 Marks)
a. The means of simple samples of sizes 1000 and 2000 are 67 .5 and 68.0cm respectively. Can
the samples be regarded as drawn frorn the sa(re population of S.D 2.5cm
[Given Zo.os: i.96]. (06 Marks)
b. ,{ random.sample of 10 boys had the following I.Q: 70, 120,710, 101, 88, 83, 95, 98, 107,
i 00. Do these data support the assumption of a population lnean i.Q of 100? [Given to.os for
ed.f :2.261. (07 Marks)
c. The following table gives the number'of aircraft accidents that occurred during the various
days of the week. Find whether the accidents are uniformly distributed over the week.iformlv distributedweeK. tslnc wneuler me accl0ents are un 1S over the
Davs Sun Mon Tue Wed Thur Fri Sat Total
No. ofaccidents : 14 15 8 12 t1 o 1A
t+ 84
(07 Marks)
(05 Marks)
X 0 2
1
J 4 5 6
p(x) k 3k 5k 7k 9k lik 13k
(07 Marks)
3. ,- B (L)
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S e m e s te r B. E. f) e g ree E xa mi n a tio ilJirefroir, ry
Advanced Mathematics - ll
Note: Answer any FIVE.fwll qaestions"
MATDIP4OI
201 5
Max. Marks:100
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
the curve
(07 Marks)
, (07 Marks)
(06 Marks)
(07 Marks)
is soienoidal.
(07 Marks)
(05 &{arks)
*-8_ y+9 _z-IA rrd
*-15
=y-29 _r-5. (*7Marks)
3 -t6 7 3 I -5
Find the equation of the plane containing the point t2.7, 1) and ihe line,
x+1- y*2
-z+1 (o6Marks)
2 3 -1
Find the constant 'a' so that the vectors Zi-j+[, i+Z;-:t< and 3i+aJ+S[ are co-planar.
{CI7 Marksi
+^>^+-+
trf a=2i+3.i*4k and b=8i-4j+k thenprovethat a isperpendicularto b andalsofind
i, -l
lax bl . (07 Marks)
lt
Find the volume of the parallelopiped whose co-terminal edges are represented by the
vectors,
+^+^+
a:i+j+k, b=2i+3j-k and c:i-j-k (o5Marks)
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a. Find the angle between any two diagonals of a cube.
b. Prove that the general equation of first degree in x, y, z represents a plane.
c. Find the angle between the lines,
,-1 _ y-5
=r*l und,
x+3 _ y :z-5
105352
Prove that the lines,
x-5
=
)'-l =Z:2 rro ^13 --
r,' =1 ur"peryendicular.
3 I -2 I 3 s
Find the shortest distance between the lines.
Find the velocity and acceleration of a particle moves aiong
-r = e-r'i + 2cos5d+ 5sin Ztk at any time 't'.
Find the directional derivative af x?yzt at (1, 1, i) inthe direction,:f i+ j+ Z[
Find the divergence of the vector f = 1*ir, +ytz]i*F^t uy'rl'i+(xz: -ytz)l<.
+^++
F = (x + y+l)i + j-(x + y)k, show that F'curlF = 0.
Show that the vector field, F=(3x+ 3y+az)i+(x- 2y+32)j+(3x.+ 2y-z)k
Find the constants a, b, c such thai the vector field,
+
F=(x +y+ar)i+(x+ cy+2zlj+(bx+ 2y- z)i is irrotatir:nal.
I af 2
4. a. Prove that L(sin at) =
b. Find I-flsin t sin 2t
c. Find r-[cos' tl.
a
) 1'
s- +a-
sin 3t].
MATDIP4Ol
(07 Marks)
(07 Marks)
(05 Marks)
($7 Marks)
(07 Marks)
(05 Marks)
Y(o) = o
Laplace
= y'(0) by
(tr0 Marks)
transform
(10 Marks)
ta.
b.
c.
8a.
b.
Find the inverse Laplace transform of
I r ^,')l
Find Lll togl t+i
L 'J]
T c-r? I
FindL-'l -"'" l.
I s'-4s+i3 ]
(s+1)(s+2)(s+3)
yu +2y'* y = 6te*' under the conditions
y' -3y' *2y =0 y(0)=Q, y'(0)=1 by
Solve the differentian equation,
[-aplac e trans form technique s.
Solve the differential equation,
techniques.
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5. [rSI{
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iy 2016
Max. Marks:100
(S7 Nlarks)
{08 Marks)
(06 Marks)
(1S Marks)
(05 Marks)
(S5 Maa'ks)
Fourth Semester B.E" Degree Examinat{e!
MicrocontrollG!rs "',
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Ir{ote: Answer FIYE full qaestioms, selecting
at least TWO qwestions from eacie pert"
?ART: A
I a. Distinguish between :
i) Microprocessor and Microcontrcllers ii) RISC and CISC Architecture. (08 Marks)
b. Briefiy discuss the featr.lres of 8051 Microcontroltren. (06 Marks)
c. With the help of a diagrarn, explain how to interface 8KB EPROM and 8KB RAM, to 805tr
Microcontroller. (05 Marks)
2 a. Explain the different addressing rnodes of 805 tr. Give an examptre fbr each cne of thern.
b. Exptrain the following instructions :
(s8 Marks)
i) MUL AB i, DAA ii$ MOVC A, @A-IDPTR iv) LJ&fF label (06 Marks)
c. What is a stack? Expiain with exarnpl6s, the PUSH and FOP instructions. (06 Marks)
3 a. What are assernbler directives? Explain the functions of the assembler directives DB, EQU,
END, ORG. (S6 Marks)
b. Write an ALF in 8051 to find tlee largest number among the X4e, I bit number stored in
internal RAM. (07 Marks)
c. Write an ALP to toggle all bits of P1 every 200rns. Assurne that the crystatr flrequency is
1i.0592MH2 of 8051. {S7 Manks}
a. Discuss the features of 4 I/O ports of 8051. (06 Marks)
b. Interface 4 x 4 keyboard to 8051 and explain how scannir:lg and identifying the key pressed
is done. (07 Marks)
c. Draw the block diagrarn to show how 8051 is connected to DAC 0808 at port Pr, using O/P
buffer for DAC. Write an 8051 program to generate ramp, signal.
PART _ B
5 a. What is the difference between timer and counter? Explain the function of eactrr bit in
TMOD. (04 Marks)
b. A switch is connected to pin F 1.2. write an 8051 C prograrn to monitor SW and create the
following frequencies o*pl* P1.7 SW:0 : 500 F{2, SW : l;75AItrz
Use tirner 0, mode 1 for both of thern (08 Marks)
c. What are external interrupts? Drarv the diagrams for actirration of external interrupts. How
level triggered interrupts are reset? How to set the two externatr interrupts as edge triggered
Write an 805 i C program to send to two nxessages 'Normai speed" and "F{igh speed" to the
serial port. Assuming that SW (switch) is connected to pin P2.0, monitor its statLrs and set
the baud rate as follows : SW: 0 ; 28,800 baud rate, SW: 1 ; 56 K baud rate
Assume that XTAL : l"A592 MHz fbr both cases. (08 iV[arks)
c. Expiain the 4 modes of operation 8255 along ivith control word format. (06 Marks)
a. What are the features that rnake MSP430 suitabie for Low-power and portable applications?
(04 Marks)
b. Explain Registers and peripherals included on chip of MSP430 CPU. (G6 Marks)
c. Explain the architecture of MSP 43.0 with a neat diagram. (r0 Marks)
a. Write an assernbly program to gerierate a wavefbrm i,vith ON time of 7 msec and OFF time
interrupts?
Write the steps required for programming 8051 tc transfer dataserially.
of 21 msec on P0.5. Assume XT'AL of i i.0592MF{2. Use timer 0.
b. Explain the bits of SCON register"
e. Draw the Fin diagram of 8255 and brieftr3r explain the signals.
**8*jF
6. USN 10ES43
(06 Marks)
state e1Tor
(06 Marks)
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ransf€r
tttttil lr({(
Fig. Q1(b
(C), obtain tc. For electrical system shown in Fig. QI
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Fourth Semester B"E. Degree 2016
Time: 3 hrs. Max. Marks:100
PART _ A
I a. What are the properties of good control system? (04 Marks)
b. Construct mathematical model for the mechanical systexll shown in Fig. Q1(b). Then draw
electrical equivalent ckcuit based on F-V anaiogy. (08 Marks)
(08 Marks)
{
Vr.
{,
2 a. List the features of transfer function.
b. Obtain the transfer function for the block diagram shown in Fig.
reduction method.
(04 Marks)
Q2(b), using block diagram
(08 Marks)
cs)
Fie" Q2(b)
c. For the electrical circuit shown in Fig. Q2(c), obtain over all transfer function using Mason's
gain formula. (08 Manks)
Gontrol Systems -:
Note: Answer any FIVE {ull qaestions, selecting
atleust TWO questions from each part.
Fig. Q2(c)
a. What are static error coefficients? Derive expression for the sarne.
b. An unity feedback system has G{s;=-r2q1JJl-, calculate its steady
s'(2+s)(4+s)
co-effrcients when the applied inpbt r(t) : 4A + 2t + 5tz .
function Vz(s)/Vr(s).
R; I"
L,.T *
c. A R-L-C series circuit is an example of second order function. If R : 1 f), o : lH and
C : lF, find response for a step voltage of 10 V connected as input and output across R.
(08 Marks)
I af2
Fig. Q1(c)
7. 4a.
b.
la.
b.
10ES43
List the advantages and disadvantages of Routh's criterion (R-H-criterion). (04 Marks)
A unity feedback control system has G(s) = ,
o(t=l,t')=a
. using Routh's criterion
s(s+3)(s+7)
calculates the range of k for which the system is i) stable ii) has closed loop poles more
negative than-l. (10 Marks)
c. Find the range of k for which the system, whose characteristic equation is given below is
stable. F(s) : s' + 1k + 0.5) s'+ 4ks + 50.
PART _ B
5 a. Sketch the root locus for unity feedback having G(s) =
range of k for the system stability. t
s(s+2)(s2+2s+2)
(06 Marks)
Determine the
(16 Marks)
(12 Marks)
k(s + 1)
b. Explain how to deterrnine angle of arrival from poles and zeros to complex zeros (04 Marks)
6 a. What are the limitations of,frequency response rnethods? (s4 Marks)
b.AcontrolsystemhavingG(s)=*drawbodeplot,withk:4andfind
s(r+zsr[r.*.;.,)
gain rnargin and phase margin. (16 Marks)
What is polar plot? Explain procedure to sketch polar plot for type 0 and type 1 rrrli;r,fi"ru.,
Sketch the Nyquist plot of a unit feedback control system having the open loop transfer
function G(s) = ,+. Determine the stability of the system using Nyquist stability
s(l - s)
criterion.
8 a. Find the transftr function for a system having state model as given below :
Io il trl
x:l lx+l lu y=ft Olx.
L-2 -31 Lo.l
b. Obtain the state model for the electrical system
variables as iy(t), i2(t) and Vc(t).
(08 Marks)
given in Fig. QS(b) choosing the state
(12 Marks)
1)
;,ct Vp
-l
etl
,
t-)
Fig. QS(b)
Vr(t)
( *]
2 of2
8. I,OEC44USN
Fourth Semester B.E. Degree Examination, June/July 2O16
Max. Marks:100
(06 Marks)
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Signals and Systems
Note: ,Answer any FIYE full questions, selecting
atleast TWO questions from each purt"
PART _ A
I a. Sketch the even and odd part of the signals shown in Fig. Ql(a).
b.
Fig.Ql(a)
For the signal x(t) and y(t) shown in Fig.Q1(b) sketch the signals :
i) x(t+ l)-y(t)
ii) x(t) . y(t - 1).
2a.
b.
Fig.Ql(b)
c. Determine whether the system described by the following input/output relationship is
i) memory less ii) causal iii) time invariant iv) linear.
i) yG):x(2-t)
'00
ii) y[n]= f 2kx[n - k] . (08 Marks)
k=0
Compute the following convolutions :
i) y(t) : e'2' u(t - 2) * {u(t - 2) * u{t - l2))
ii) y[n] : o" {u[n] - uln - 61 * Z{u[n] - ufn - 15] ].
Prove the following :
D x(t) x 6(t - to) : x(t - ts)
n
ii) x[n] * u[n] : I"p l.
.
k=-co
1 of 3
-l
(06 Marks)
9. t&BC44
3 a. Identi$u whether the systerns described by the following impulse responses are memory-less,
b.
causal and stable.
D h(t) :3S(t - 2) + sS(t - s)
ii) h[n] :2'u[-n]
iil) hinl : (%)" E[n]. (oe Marks)
Find the natural response and the forced response of the system described by the foilowing
differentia! equation'#-4y(t)=**,t). ify(0): land
fvt,ll,=o=-r.
(08Marks)
Write the difference equation for the system depicted in Fig. Q3(c). (03,Marks)
y[.1
q-LnJ
4a.
b.
State and prove the Parseval's relation for the Fourier series representation of discrete time
i;'iiif iiSThr orthe signar x(r) : sin [5nnr + cos [7run]
(06 rvrarks)
ii) Find the FS of the signal shown in Fig. Q4(bxii). (08 Marks)
-IJ 0 r ite 54
Fig. Qa@)(ii)
c. If the FS representation of periodic signal x(0 is
2x
0)n = a then find the FS of y(t) without computing x(t) :,T
i) V(t)
: x(t + 2)
d
tt) Y(t) = --x(t).
OI
PART _ B
5 a. i) Cornpute the DTFT of x[n] : (%)" u[n + 2] + (%)" u[n - 2]
ii) Find FT of the signal shown in Fig. Qs(aXii).
Fig. Qs(axii)
Find inverse FT of the foilowing x(1to) :
i) x(jar) =
(jr)2+6jco+8
x( t) < ns,, >
2sin[K ooTo]
rvhere
T Kot,,
b.
{06 Marks)
(10 Marks)
JCI
-'18
Fie. Q3(c)
!l'! )
2 of3
(10 Marks)
10. 10f,c44
a. Determine output of the LTI system whose I/P and the
i) x(t): e
2tu(t)
and h(t) - e
3'u(t)
ii) x[n] : (%)" u[n] and h[n] : S[n - a].
b. Find the Fourier transform of the signal x(t) : cos r06t where *o =*and T the perio<i of
t
the signal. (04 Mirks)
c. State the sampling theorem and briefly explain how to practically reconstruct the signal.
(08 Marks)
kii*,u.,, u,
'
a. State and prove differentiation in z - domain property of z - transforms.
b. Use property of z - transforms to compute x(z) of :
i) x[n] : n sin (nnl2) u[-n]
il) x[n] : (n - 2) (Yr)" u ln - 21.
c. Find the inverse z - transforms of
i) x(z) =
(08 Marks)
(05 Marks)
(06 Marks)
(08 Marks)
b'*1,-r)
2
ii) x(z) = r
" .lrl>*.
,_+) L
8 a. Deterrnine the impulse response of the following transfer function if :
i) The system is causal
ii) The system is stable
1
JZ. _Z
iii) The system is stable and causal at the same time : H(z) =
f,-zl{r**)
(08 Marks)
b. Use unilateral z - transfurrn to determine the forced response and the natural response of the
systemdescribedby: y[n] -lytr- 1l-tytn _ 21:x[n] +x[n- 1] wherey[-1] : l and
ylll: t with I/P x[n] :3"u[n]. (12 Marks)
8**{<*
3 of3
11. USN
10E,C45
Max. Marks:100
(08 Marks)
(08 Marks)
(06 Marks)
to implement a 2'.1 multiplexer with active low
(08 Marks)
(06 Marks)
(08 Marks)
(08 Marks)
(04 Marks)
,>__-._1,V,
Fourth Semester B.E. Degree Examination,'J$er/July 20I6
Time: 3 hrs.
1a.
b.
c.
Fundamentals of HDL
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PART _ A
Describe VHDL scalar data types with an example.
Explain composite and access data types with an example for each.
If A, B and C are three unsigned variables with A: 11110000, B : 01011101 and
C : 0000 0000 find the value of i) A,NAND B ii) A&&C iii) A ror2 iv) B<<1.
(04 Marks)
2 a. Write a VHDL code in data flow description for a 2 bit magnitude comparator with help of
truth table and simplified Boolean expressrons. (12 Marks)
b. Write a HDL codes for 2 x 2 bit combinational array multiplier (Both VHDL and verilog).
(08 Marks)
3 a. Write behavioral description of a half-adder in VHDL and verilog with propagation delay of
10ns. Discuss the important tbatures of their description in VHDL and verilog. (08 Marks)
b. Mention the names of sequential statements associated with behavioral description.
(02 Marks)
c. Write VHDL code for a D latch using variable assignment statement and signal assignment
statements. With simulation waveforms clearly distinguish between the two statements.
(10 Marks)
4 a. Explain with suitable examples, how binding is achieved in VHDL between.
i) Entity and architecture
ii) Entity and component
iii) Library and module.
b. Write a structural description using VHDL
enable. (10 Marks)
c. Explain the use of generate statement. Write down format for it both in VHDL and verilog.
(04 Marks)
PART * B
Explain the following syntax with examples: i) Procedure; ii) Task; iii) Function. (06 Marks)5a.
b.
c.
Write verilog description to convert signed binary to the integer using task.
Write a VHDL function to find the greater of two signed numbers.
from a VF{DL module.
b. Develop mixed-language description of a 9 bit adder.
c. Write note on VHDL packages.
6 a. Describe procedure for invoking a VHDL entity from a verilog module and a verilog module
1of 2
12. la.
b.
8a.
b.
What is the necessity of mixed type description?
10EC4s
(04 Marks)
Describe the development of HDL code for an ALU and write VHDl/verilog code for ALU
shown below.
r Fig.e.7(b)
Assume the following operations: Addition, multiplication, division, no operation. (16 Marks)
What is synthesis? List the general steps involved in synthesis. (08 Marks)
Write VHDL code for signal assignment statement Y :2* x * 3. Show the synthesized logic
symbol and gate levei diagram. Write struotural code in verilog using gate level diagram.
(12 Marks)
***+*
oPsRA:lroll llmr. H us-ttc lsqr
("lturr C nlu;
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13. USN 10EC46
Fourth Semester B.E. Degree Examinat iune/"luly 2016
Linear IG's and Applications
Time: 3 hrs. Max. Marks:100
Note: Answer FIVE.full questions, selecting
at least TWO questions from each part.
PART _ A
I a- What is CMRR in an operational amplifier? A 741 op-amp is used in a non inverting
amplifier with a voltage gain of 50. Calculate the typical output voltage that wouid result
from a common mode input with a peak level of 100 mV. (06 Marks)
b. Design a non-inverting direct coupled amplifier using a bipolar op-amp. Write the circuit
diagram. (07 Marks)
c. Design an inverting amplifier using a 741 op-amp. The voltage gain is to be 50 and the
output voltage amplitude is to be 2.5ry. (0T Marks)
2 a. Explain about the High input impedance capacitor coupled voltage follower circuit, with
relevant equations. (07 Marks)
b. The inverting designed (say Av = 50 and =2.5Y ) is to be capacitor coupled and to have
a signal frequency range of 10 Hz to I kHz. If the load resistance is 250 O. Calculate the
required capacitor values. (06 Marks)
c' Explain about capacitor coupled voltage follower using a single polarity supply, with circuit
diagram. (07 Marks)
3 a. i) Calculate the slew rate limited cut off frequency for a voltage follower circuit using a
741 op-amp if the peak of sinewave output is to be 5V.
ii) Determine the maximum peak value of the sinusoidal output voltage that will allow the
741 voltage follower circuit to operate at the 800 kHz unity-gain cut off frequency.
iii) Calculate the maximum peak value of sine wave output voltage that can be produced by
the amplifier in part (i) equation and the op-amp rs a 7 4L and fz is 8 kHz. (09 Marks)
b. Explain briefly about input impedance modification (Zin Mod) technique of frequency
compensation with circuit diagram. (06 Marks)
c. Explain the 'circuit stability precautions' for the operational amplifier using the
4a.
b.
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manufacturer' s recommended compensating co mp onents.
Explain the 'current amplifier' circuit using operational amplifier.
(05 Marks)
(06 Marks)
Explain the instrumentation amplifier with differential input/output which accepts a
differentidl input voltage and amplifies it to produce a differential output using op amps.
(08 Marks)
c. Design a non saturating precision half wave rectifier, which produce a 2 Y peak output &om
a sinewave input with a peak value of 0.5 V and frequency of I MHz. Use a bipolar op-amp
with a supply voltage of + 15y . (06 Marks)
PART _ B
a. Explain the multiplier circuit with .schematic symbol. 106 Marks)
b. Explain the operation of the phase-shift oscillator circuit with relevant waveforms. (08 Marks)
c. Using a BIFET op-amp with a supply of + 12y , design a wein bridge oscillator to have an
o/P frequen;v of 15 kHz.
t c,r )
(06 Marks)
14. 108C46
a. Explain the operation of the Astable multivibrator circuit using operational amplifier with
relevant waveforms. (08 Marks)
b. Explain the operation of the first order activc low
characteristics using operational amplifier.
pass filter circuit with frequency response
c. Design a first order high pass active filter circuit to have a cut off frequency of 5
an LM108 op amp and estimate the highest frequency can be passed.
(06 Marks)
kHz. Use
(06 Marks)
a. Explain the following terms such as (i) Line regulation (ii) Load regulation (iii) Ripple
rejection briefly. (06 Marks)
b. Explain the operation of the 723 integrated circuit voltage regulator contains a reference
voltage sources (Dr) an error amplifier (A1), a series pass transistor (Qi) and a current
limiting transistor (Q3). (07 Marks)
c. Calculate the resistances of Rr and Rz for the LM2l7 voltage regulator to produce an output
voltage of 9 V. (Assume Cr : 0.1 pF and C2 : 1 pF) (07 Marks)
a. Explain the 555 Timer circuit used asastable multivibrator, with relevant waveforms.
(08 Marks)
b. Explain the operating principles of phase locked loop with relevant diagram. (07 Marks)
c. Write a short notes on voltage controlled oscillator. (05 Marks)
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