3rd Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Question Papers

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Time: 3 hrs.
1a.
USN
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b.
c.
Third Semester B.E. Degree Examin h, Dec.20l:5/Jan.20t6
MATDIP3Ol
Max. Marks:100
(06 Marks)
(07 Nlarks)
(07 Marks)
(06 Manks)
(07 NIarks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(05 N{arks)
(07 &{arks)
(07 ){arks)
Advanced Mathematics - I
Note: Answer any FIVE.full questions.
b.
(.-
Express the following in the form a * ib,
311
: .- :*- andalsofindtheconjugate.
1+i 2*i l-i
Show that (a+ib)' +(a-ib)' =2(a' +b')n" cos(ntan-r(b/a)).
Find the fourth roots of 1-ir6 and represent them on an argand plane.
Find the nth derivative of cos 2x cos 3x.
If y = rasin
rx
then prove that (1 - x')yn*, - (2n +t)xy"*, -(r' + a')y,., = 0.
Find the nth derivative of
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3 a. Find the angle between the radius vector and the tangent to the curve r = a(l - cos 8) at the
TI
pomt U=-.
J
Find the pedal equation to the curve r = a(l+ cos0).
Obtain the Maclaurin's series expansion of the function e* sin x.
4a.
b
L.
5a.
L
Ifu=a*'*vt,theo
/
If u=fl *,I.Zl
[v z x)
[fu=x'+y'+z'
tutunrove that x-+ V- = 3u losu .
dx cy
au au au
.provethat x ^ +y ^ +z--l).
(h Oy Az
, V = XY +yZ+ZX, W = x+y+2, find ,[u,', * '1
.
[ *, y,, ,l
Obtain the reduction formula for I,
- rla a.['*-*'
Evaluate , Jn J. xydydx .
Itl
Evaluate,
IJif, + y + z)dxdydz.
= Jcos'
xdx where n is a positive integer. (061Iarks)
(07 Marks)
(07 Mart<s)
1of 2

6a"
b.
c.
Prove that F(m,n) - 5g)r(")-.f(m + n)
4
Evaluate: l'
*t'' (+- x)'/'dx .
0
6
Evaiuate: I xne-'*dx .
J
.0
MATDIP3OI
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(S7 Manks)
(07 Marks)
(86 S{arks)
(07 Marks)
(07 Marks)
a. Solve:
b. Solve:
c. Sotrve:
a. Solve:
b. Solve :
c. Solve :
dy1ia+xsirn2y-x'cos'y.
fix
(eY + ycosxy)dx + (xeY + x cosxy)dy
x2ydx-(x'+y')dy=0.
++-dg++ n9r-6y = 0.
dx' dx' dx
(D'-4)y=e*+sin2x.
(D2+D+l)y=1+x+x2.
-0.
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2 af2

USN
Time: 3 hrs.
2a.
b.
3a.
b.
Note: Answer FIVE fall questions, selecting
at least TWO questions.from each parl
108536
Max. Marks:100
for elechic field intensity due to N
(04 Marks)
(04 Marks)
(04 Marks)
(05 Marks)
{05 Marks)
(05 Marks)
(03 Marks)
(08 Marks)
(09 Marks)
(08 Marks)
(08 Marks)
(04 Marks)
(08 Marks)
(06 Marks)
Third Semester B.E. Degree Examination, Dec.Z0l5 I Jan.20l6
Field Theory
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PART _ A
I a' Define eiectric field intensity (E). Find an expression
Given D: zSinQfr +PSin $iclmz compute the volume charge derrsity at (1,30" 2).
(04 Marks)
d. Verify both sides of Gauss Divergence theorem if d= 2xyi.+"'ai c/nt'present in the
region bounded by 0 (x <1, 0 <y <2,0 tz t3 (08 Marks)
b.
L.
c.
d.
different point charges.
Derive Maxwell's first equation in electrostatics.
Derive an equation for potential due to infinite line charge.
60sin 0 *
If U -, VfindVand E atP (3,60,25)
t"
Derive an equitation for energy stored in terms of E and 6
Derive Boundary conditions for conductor and Dielectric interface.
Expand V operation in different co-ordinate system.
Verify that the potential field given below satisfies the Laplace equation
^2 -2 2
v:zx -jv t7,
y: lAra + Br-al Sin 4p
atr:b,V:Vo atr:a.
Derive expression for fr due to straight conductor of finite length.
State and explain the following
i) Ampere circuit law
ii) Stokes theorem.
c. Solve the Lapiace equation for the potential field and find the capacitance in homogeneous
regionbetweentwoconcentricconductingsphereswithradiiaandbsuchthatb>aifV:0
4a.
b.
c. Given the vector magnetic potential
n: ^'ii
*2yr&+(-x')al
Find magnetic flux density.
force exerted on Iz LL2by Ir ALr
c. Derive an equation of inductance of Toroid.
PART _ B
a. Derive expression for force on a differential current element (06 Marksi
b. A current element Ir ALr : l0-5 J,l^.*is located at Pr(1,0, 0) while second eiement
Iz LLz: 10-5 (0.6 - * Z^V+ 3;) A.m is at Pz (-1,0,0) both in f,ree space find the vector
a
M;
I of 2

6a.
L
d.
Derive Maxwell's equations for time varying fields.
E: Em sin (wt - Bz) ay in free space find D , B , H
Define displacement current density.
Derive cr:ntinuity equation from Maxwell's equation.
10E536
(08 Marks)
(05 Marks)
(02 Marks)
(05Marks)
(08 Marks)a. Derive Ceneral wave equation
b. The uniform plane wave travelling in free space is given by
Ey : 1Q.{ ai(2n'ro't-F*) pv/m
Find:
i) Direction of wave propagation.
ii) Phase velocity
iii) Phase constant
iv) Equation for magnetic fleld (08 Marks)
c. For E : E,r0o'cos (wt * F4 &find average power density. Assume free space. (04 Marks)
a. Derive expression for transmission co-efficient and Reflection co-efficient for uniform
waves at nonnal incidence. (08 Marks)
b. For nr - 100Q, nz : l00Q and Exr : 100v/m calculate amplitude of incident, reflected and
transmitted waves. Also show that average power is conserved. (i0 Marks)
c. Define SWR. (02 Marks)
****{<
2 of2

USN
10IT35
(06 Marks)
(CI4 Marks)
(08 Marksi
(08 Marks)
Third Semester B.E. Degree Examination, Dec.2015 lJan"20l6
Electronic I nstrumentation
Max. Marks:100
a.
c.
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Time: 3 hrs.
b.
Note: Answer any FIW full qwestions, selecting
atleast TWO questions fro* each part"
PART - A
Define following terms as applied to an electronic instruments :
i) Random error
ii) Significant figure
iiil Resolution.
a^Ad,
b.
c.
Explain the working of a true RMS voltmeter with the help of a suitatrle block diagram.
(08l{arks)
A component manufacture constructs certain resistance to be anywhere between 1.14 kf)
and 1 .26 kO and classifies them to be 1.2kQ resistors. What tolerance be stated? if the
resistance values are specified at 25oC and resistor have a tenrperature coefficient of,
+500ppm/'C. Calculator the maximurn resistance that one of these component might have at
?<orr {06 lvlarks)
Explain working principle of successive approximation method of DVM. (08 Nlarks)
With the help of block diagram. explain the operation of measuremenil of time. (05 Marks)
Determine the resolution of a 3% digit display on iV and 10 V rangesr. {&6 Nlanks}
Explain working of dual trace CRO. (10 t{arks}
Explain triggered sweep CRO. (05 h(arks)
Explain the operation of an electronic switch with the help of a block diagrarn. (05 Marks)
4 a. Explain the working of a digital storage oscilloscope and list the advantages of DSO.
(10 Marks)
(05 h,{arks)
(05 Marks)
3a.
tr.
L.
5a.
b.
C.
b. Explain the need of time delay in oscilloscopes.
c. Explain the working of sampling oscilloscope.
PART _ B
Explain principles fixed frequency AF oscillator and variable AF oscillator.
With a neat block diagram, explain.sweep frequency generator.
Explain with a neat sketch AF sine and square wave generator.
I of2

6 a. Explain lVlaxwell's bridge.
b. Explain Wagner's earth connection.
o. An unbalanced Wheatstone bridge is given in
galvanometer.
10rT35
(08 Marks)
{S5 Marks)
Fig.Q6(c), calcuiate the current through the
({}5 Marks)
7&.
b.
a.
8a"
L
t-.
Explain the construction, principle and operation of LVDT.
Explain resistance thermometer.
Explain therrnistc,r.
Explain LCD with diagram.
Explain power rneasurement using Bolometer.
Write note on signal conditioning systern.
(08 Marks)
(06 Marks)
(06 h4arks)
(06 Marks)
(08 Marks)
(06 lltarks)
Fig.Q5(c)
2 of2

108534USN
Third Semester B.E. Degree Examination, Dec"201 5 IJ*n"2016
Time: 3 trrrs. Itr1ax. Marks: X00
PART _ A
I a. Find the equivalent resistance between the terminals A and B ire the network shown in
Fig Ql (a) using Star * Delta transformation. (06 Marks)
Fig. Qi(a)
b. Find the power delivered by the dependent voltage source in the circuit shown in Fig Q1 (b)
by rnesh current method. (05 Wfanks)
Fie. Q1(b)
ASJL
tofq*
c. Find the current i, in the circuit shown in Fig Ql (c) using Nodal Arralysis, (08 Marks)
Fig" Q1(c) ew J&'L
Define the terms tree, cotree, link, cutset schedule and Tie set schedule. (10 Manks)
Draw the graph of the network shown in Fig Q2 (b).Write tlhe cut set schedule and find all
node voltages, branch voltages and branch currents. Assume tlranches (2) ard (3) to f,orm the
tree" (trS Marks)
Network Analysis
Note: Amswer FIYE full questions, sele'cting
at lesst TWO qwestioms.from each parL
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Fie. Q2(b)

1"08534
3 a. Find I* for tlhe cirr:uit shown in figure Q3(a) using the principle of superposition. (06 Marks)
{tt-
Fie. Q3(a)
t&! 8v
b. State and explain Millman's theorem.
o. Verify reciprocity theorem for the circuit shown in Fig Q 3(c) with response I.
lO-rl-- ]f,
(06 Marks)
(08 Marks)
Fig Qa@)
c. In the circuit shoryg,in Fig Q4(c), find the value of Rr for which maximum power is
delivered. Also fi*dthe maximum power that is delivered to the load Rr (08 Marks)
$-n--
5'13"
Fig. Q3(c) Vrtl6 [o-a-
State and explain the Vinin's theorem. (06 Marks)
In the circuit shown in Fig Q4(b), find the value of the current through the 667CI resistor
using Norton's thr:orem. (06 Marks)
=6{*tu
Fig. Qa(c)
PART _ B
lt is required that a series RLC circuit should resonate at 500KHz. Determine the values of
R, L and C if the IBandwidth of the circuit is 10KHz and its impedance is 1000 at resonance.
Aiso find the voltilges across L and C at resonance if the applied voltage is 75 volts.
(tr0 Marks)
Derir,'e an expression for the resonant frequency of a parallel resonant circuit. Also shown
that the circuit is resonant at all frequencies if RL - Rc =.[ *n.r. R1 : Resistance in the
lC
5a.
indiciitor branch, Rc : Resistance in the caPacitor branch.
2 af3
(10 Marks)

ffi 10E334
AtoBatt:0,6 a. trn the circuit shown in Fig Q6(a), the switch K is cha
steady state having been leached before switching. Calculate rL,
Fig. Q6(a)
UrlF
lLuna d',
un: o*.
dt dt
at t: 0*.
(10 Marks)
{10 Marks)
di_.andl
dr
-1.
ol
w
in the Network shown in Fig Q6(b),
is closed at time t : 0. Solve for ir, iz,
steady state is leached with swjtch X'. open. The switch
Fig. Q6(b) fooV€ fo-rL
IW
7 a. Obtain the Laplace transform of the Periodic signal shown in Fig.Q 7(a) (trO Marks)
Fig. Q7(a) twg
b. Find the convolution of h(t) : e-t and (t) : e-2t. (04 Marks)
c. State and prove the initial value theorem. (S6 Manks)
a.
" Derive Y-parameters and Transmission pararneters of a circuit in t,errrls of its
z - pararneters. (10 Marks)
b. Find the zpa:rameters and h - parameters for the circuit shown in Fig. Q8(b) (10 Marks)
0lL
2o-rr-
I
r,l
t
. *1- t-sL
-r- ^* l, A .a^/V
'T <)L2-
88*Ar,<
3 of3
+"
V.:5l
t
Fig. Q8(b)
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ii,::lli}j$;.:S. , i ,,, USN 10ES32, .,,,
Third Semester B.E. Degree Examinati"@fr ilJan.20l6
Analog Electronic Gircuit
Time:3 hrs. Max. Marks:100.
Note: Answer any FIW full questions, selecting
atleast TWO questions from each part. { q,
d ^.^-.g PART - A
E
f I a. With necessary equivalent circuit, explain the various diode equivalent circuits. (06 Marks)
I b. What do you understand by reverse recovery time? Explain its importance in selection of a
E diode for an application
^
ri' I '. (06 Marks)
ij c. For the diode circuit shown in Fig. Q1(c) draw the transfer characteristics. The input is
$:
40 sin cot. Show clearly the steps of analysis. All diodes are ideal. (08 Marks)
wl
Ec totstu Dl.
AT --Jvn-}dtr oo /l.-It
.E c'E v Vio
EB' r
9EEts +c'tr ---..:--
A Z { rig.qtlc;*, a
i rr6.<rw)
E E 2 a. Discuss the effect of varying Ie and Vcc on the Q - point. Explain your answer with relevant
{ g diagram. (06 Marks)
gi b. An emitterbias circuit has Rc -2ke),Rs:680 O, Vr :2.lY,Vce: 7.3V,Ie:20 pA. Find
F i; Vcc, Re and B. (06 N'Iarks)
iE c. Avoltagedividerbiabedcircuit has Rr:39kf), Rz:8.2 kf), Rc:3.3 kf), Rp:1kf),
; E Vcc : 18V. The silicon transistor used has P
: 120. Find Q - point and stability factor.
=G
tri1
5CB
; E 3 a. Derive an expression for voltage gain, input impedance and output impedance of an emitter
H E follower amplifier using re-model. (06 Marks)
F E b. A voltage divider biased amplifier has Rr : 82 kf), P.2: 22 kf), Rr : 1 kf), Rc : 2.2 kf),
if *ffifu" : tg V. The silicon transistor has B
: 100. Take Rs : 1 kf), Rp : 5.6 kf). Find voltage
,H".& r , .r Lt gutn,. input impedance, output impedance. (06 Marks)Iii ir,i*:Hrn*,., .,i.,.:t V gauL mpxt lmpedance, output lmpedance. (06 Marks),
ilt'rd1"EEg
-l. A transistor in CE mode has hi.: 1100 O, hr": 100, W":2.5 x 10+, h":25 pU. Find
E 0 { ";. vohase oain innut imnedanee anrl orrfnrrt imnerlance Take R": 1 l<O R, : 1 kO Also finrlE 3 "u;i voltage gain, input impedance and output impedance. Take Rs: 1 kO, R1: 1 kO. Also find
5q*,'- "' current gain. (08 Marks)
-: .i"
ij
2 4 a. Discuss with relevant equivalent circuit the method of determination of lower cutoff
:
E frequency for a voltage divider biased CE amplifier. (10 Marks)
1 b. A voltage divider biased CE amplifrer has Rs : 1 k fl, Rr : 40 kQ, Rz : 10 kf), RE :2ke),
E F.c:2.2 kO, Cs: i0 pF, Cc: 1 pF, Cs :20 5fi, p : 100, Vcc:20. The parasitic
capacitance are C,r(C6.) : 36 pF, Cp(C6") : 4 pF, C.. : 1 pF, Cwi = 6 pF, C*o : 8 pF.
Determine higher cutoff frequency. (10 Marks)
I of2

PART _ B
Obtain expression for voltage gain, input impedance and output impedance of a
emitter follower. Draw necessary equivalent circuit.
Mention the different configuration of feedback amplifiers and obtain expression
gain with feedback for any one configuration.
What are the advantages of cascading amplifiers? Obtain expression for overall r
for an n - stage cascaded amplifier.
distortion, fundamental power and total power.
"
Prove that the maximum conversion efficiency of class A transform., .orp%ddmpfifier is
50%. * V3 (08 Marks)
With neat diagram, explain the methods of obtaining phase shift of ffi&gral for class B
operation. $-FJ* (06 Marks)
The harmonic distortion component in an power amplifier is
lre'6.1, D3 : 0.02,Dq:0.03.
The fundamental curent amplitude is 4 A and it supplies a lod&<if 8 Q. Find total harmonic
10ES32
Darlington
(08 Marks)
for voltage
5a.
b.
c,
8a.
b.
a.
b.
a.
b.
*l
Zo
f ' '-
What is Barkhansen criteria for sustained oscillation? Explain basic principle of operation
of oscillators. {u _
' (08 Marks)
With a neat circuit diagram, explain the woffiBXffof Hartley oscillator. Write the equation for
frequency of oscillations. sr (08 Marks)
A crystal has mounting capacitance ol10 pF. The
the frictional resistance : 1 kf) and compliance :
frequency.
(06 Marks)
inductance equivalent of mass is I mH
1 pF. Find series and parallel ..ronuni
(04 Marks)
Obtain the expression fur voltage gain, input impedance output
cofirmon source amplifier with self - bias configuration.
For the FET amplifier in Fig. QS(b), find voltage gain, input
impedance. The,FET has Inss: 15 mA, Vo: -6V, Yos :25 prs.
tzov
ts^
l-- v"
i -"l
impedance
impedance
for a JFET
(08 Marks)
and output
(08 Marks)
Fie.Q8(b)
between BJT and FET.
***{<*
2 of2
vo
c. Mention the difference (04 Marks)

USN 10ES33
Logic Design
Time: 3 hrs. Max. Marks:100
o'l't ""
ilNote: Answer FIVE fall questions, selecting
at least TWO qaestions from each part.
o PART-A
€ | a. Define combinational logic. Two motorr VtrarO Mr are controlled by three sensors Sr, Sz
E and Sl. One motor Mz is to run any time when all three sensors are on. Thggther motor (M1)
E is to run whenever sensors Sz or Sr but not both are on and S3,isl'oif.'' For all sensors
.H combinations where M1 is on, M2 is to be off, except when all sensors are off and then both
f; motors remain off. Construct the truth table and write the Boolean output equation.
.,
g (05 Marks)
$
j b. The following Boolean function into their proper canonical form in decimal notation.
*'-g t^ i) 1Y = p(q'+ s)
69
flll ii) N = (w'+ x)(y + z) (07 Marks)
=
f c. Reduce the following Boolean function using K-map and realize the simplified expression
E ; using NAND gates.
€g - 'oq'tr
A i 2 a. Simpli$ the following tunctio, ,rffiine-McClusky method and realize the simplified
; .E using NOR gates.
E * P=f(w,x,y,z)=I*(2,9,12,13,,,,;14,15)+fa1+,tt; (12Marks)
=X
g; b. Simplify f(a,b,c,d)=lrn(0,4,s,6,13,14,15)+d1z,l,g,v1 using MEV technique using
SG
E t basrc gates. (08 Marks)
o i ,; .rst
d.E (741e?le 's) for the decoder. (06 Ntarks)
H E c' Oesifffa'+ to 16 line decoder using 2 to 4 line decoder which has the active low outputs and
E E a.r'Jirh lnrv enahle innrrf Fvnlqin ifs nncrqfinn /o( n,{dpr,6(d E ac{rye low enaDle mput. .bxplam lts operatlon. (06 Marks)FOs
e E d*uo
>r (H .p, *,{
E i 4 r &*$ Design a binary full adder using only two input NAND gates. Write a truth table. (06 Marks)
E_E *m. Implement the following Boolean function using 4 : 1 multiplexer (MUX)
; €
Dasrc gates. (08 Marks)
50-
- gT 3 a. Design a combiuffii circuit to find the 9's complement of a single digit BCD nurnber.
ni."*s#!," r:r *.,r *,jL:r Realize the ci6cu[@sing suitable logic gates. (0g Marks)
ffiffio$Ei*riia,,i P-,,.**?* tJof..lp.Sffiagram. for 2 to 4line decoder with an active low encoder enable and active r r, ,r ,
*s'YffrB1tq*,n:te{'"t'ii'ii1;i}'i+e1:i datffifut. Construct a truth table and describe the circuit function with logic symbol
. ,9futr
" ^':r(o,B,c.:Dl=fi(r,i;: ^'i,?,t2,t4)
Y = I(4, b,V,D) = Zm(U, I,'2,4,O,9r1'2,14) (06 Marks)
c. Define magnitude comparator. Design a two-bit binary comparator and implement with
:
"'u.suitable
logic gates. (08 Marks)
PART _ B
5 a. Discuss the difference between a flip flop and latch. Explain the operation of gated SR latch
with a logic diagram, truth table and logic symbol. (06 Marks)
b. Explain the working of Master Slave JK flip flops with functional table and timing diagram.
C;)
o
z
L
op.
Show how race around condition is overcome.
,,Qt[ain the characteristic equation of JK and SR flipflops.
:s 1''
(08 Marks)
1ootvt1ft#*igry,
I of2

. -jt'ffia+rl.?r!tlt!
10ES33
- ..i,
6 a. Describe the block diagram of a MOD-7 twisted ring counter and explain its operation with
the count sequence table and decoding logic used to identify the various states. (08Marks)
b. Design a mod-6 synchronous counter using clocked JK flipflops, the count sequence being
0,2,3,6,5,1,0,2.-..... (l2Marks)
7 a. With a suitable block diagranq explain the Mealy and Moore -od.i,L , J.;iffiJiri'm;
analysis. (lpMeilO
b. Expiain 4 bit universal shift Register using 4 : 1 MUX with help of logic diagraprffWiite a
mode control table. 6p|ht Marks)
4*r
8 a. Describe the following terms with respect to sequential machines: (ry
i) State ii) Present states iii) Next states. *&* (06 Marks)
b. A sequential circuit has one input one output. The state diagram
'iqhthwn
in Fig. Q8 (b).
Design a sequential circuit with T flip flops. ffi; W (14 Marks)
rl|r|ris; s P$
4u 1(
..rr*lr.
:
t;
q
,r*t{<{.
: ii .i rrjr'p - f,
.., J,. .1 ii4yq*r. ilgiE#.ffigtilllfiFffi
t,,
.,i ,l
-. * ' 'i.
tr' -.'q /*
-
liiitiffi'ffi, ,,'
i:r$.lci$r$r
2 of2
iii.iiffi

USN
{q
L
t)"
4' a.
b.
Field Theory
Note: l. Answer FIVE full questions, selectircg
at least TWO questions from ewch part.
2. Assume any missing data suitably.
3. Standard notcttions are used.
4" Draw neat diagrant wherever nec€sserlt.
CI6E,S35
Vlax. Marks:100
{SB Marks)
two clielectric of different
(08 Marks)
{$6 }farksi
{07 Marks}
{S7 Marnrs)
Third Sernester B.E. Degree Exarnination, Derc"20trS;/Jan.20t6
a"
o
o6J
q
D.
d
-o
O
o!
ri <.r
EO
-o
,EN
yo
-o
u2
bE
"c
/d
ET
=u
;f
c'!
o;
[;E
o[E
=€).-;5t
lc0.- c
Laf
=>
la
->'
tr<
-i r.i
o
o
7
o.
Time: 3 hrs.
b.
)q
b.
PART _ ,4
Find the Electric Fietrd Intensity due to semi infinite strarigtrt unifonniy charged wire at a
point lying at a distance in the perpendicular direction from one end. (08 N{arks)
Stat and prove Gauss Divergence theorem. {S4 &narksi
1
If D =5+ e. y' .,veify the Gauss Divergence theorern forthe volume enclosed by
4 /m'
r - 4nr and 0 :/^ . (08ltarks)
/+
Explain conservative nature of static Electric field. (s4 Mart<s)
IfV - x - y + xy * 2zvolt, find E at (1,2,3)and the energy stored in a cube of side 2mt
centered at the origin.
Derive the boundary conditions at the interface betweeia
perreabilities.
State and prove uniqueness theorem.
For a co - axial cable with inner radius oa'
mt and outer radius 'b' trnt., find &e Eleetric fieid
intensityE in the region a< r< b using l-aplace's equation. Assume V: Vo ai r: i and
V : 0 at r: b. (07 Marks)
c. A splrere of radius 'a' has the charge distribution p (r) /--, , v,,hicn produces an eleetrie
/ trf
field intensity given by E,. : Ara for r ( a, E. : Ar-2 for r'> a, vihere A is a constant Find
corresponding charge distribution. (87 Marks)
State and prove stoker's theorem. . (CI5 Marks)
The magnetic field lntensity is given is a region of space us fr :
+ a, *% i, a/mt
Find : i) V x H ii) J iii) use J to find the total current passing throuplr the surface z: 4,
1 < x< 2,3 <y< 5 inthe 6, directton.
c. Explain the concept of magnetic scalar and vector potentiai.
PAR.T _ B
5 a. ApointchargeQ:-60nc ismovingwithavelocity6 x 106m/s inthe direction specifiedby
unit vector- 0.48 e, -0.6 e, + 0.64 6,. Find the magnitude of 1.he force on a moving
charge in the magnetic field B - 2e, * 6e, - 6d, + 56,mT
7 of2
{S6 Marks)

068536
b. Find the magnetic field intensity is medium which traversed from mediurn 1 to medium 2
iraving u",, = 2.5and pr,, = 4. Given that H, : -30e, + 506y +'lA,v/m, boundary is at
z:0 plane. {08 Marks)
Derive the equation for magnetic energy density. (S6 Marks)
Explain the concept of displacement current density. Show that in a capacitor the concluction
current is equal to the displacement current. (88 Marks)
6a.
h
b.
Ea.
h
C.
Explainthe term skin depthwetmarshysoil ischaracterizedby o=i0-20/m, e, :1.5 anci
Do the fields 6 =(E, SinxSint6r)and fr =I*gosxCost6, satisfy
po
derivod from Faraday's law?
Explain the concept ofretarded potential.
State ancl prove poynting theorem.
Fr: |. At 50H2. Caiculate i) Propagation constant ii) Skin depth.
Explain Electromagnetic wave propagation is good conductor.
H waves at the interface.
What is standiilg wave, Define SWR. What is
coefficient?
Maxwell's equation
(05 Marks)
(06 Marks)
(CI6 Marks)
(06 Marks)
(08 Marks)
(SB Manks)
its reiationship w,ith the refiection
(06 Marks)
Explain reflection of unifonn plane r,vaves with norrnal incirience at a plane dielectric
boundaqr. Obtain equation for reflection coefficient and transmission co - efficient.
(86 S{arks}
E arad fr *aves travelling in free space are normally incident on the interface with a perfe ct
dielectric with e ,:3. Compute the magnitudes of incident, reflecte<i and transmiued E and
**r<r<*
2 af2

3rd Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Question Papers

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3rd Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Question Papers