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SPN NO.:
sT. xAVtER'S TECHNICAL INSTITUTE, MAHIM, MUMBAI 400016
DIPLOMA IN ETECTRONICS & TELECOMMUNICATION ENGINEERING
SEMESTER EXAMINATION - SUMMER 2017SEMESTER - I
Timeallowed:3hourF Marks - 80
lnstructions : -
1. Answer to the two sections must be written in separate Answer Book/s.
2. lllustrate your answers with neat sketches wherever necessary.
3. Use of Mathematical tables and Pocket calculators (non-programmable) is
permissible.
4. Figures to the right indicate full marks.
5. Assume suitable additional data, if necessary.:f ** rk*.i.** +**,a:k** r*,*:a .t * :t + * ** f* r*:t,!:i * +:F *:t + r**,** '*'**
Q. 1. Attempt any FOUR.
a) Define current voltage resistance and state its unit.
b) State ohm's law.
c) State Kirchoffs voltage and current laws.
d) Mention star to delta conversion and delta to star conversion formula with
proper diagram.
Explain electrostatic induction.
Define and mention the value and absolute permittivity and relative permittivity.
Q. 2. Attempt any TWO
a) State and explain voltage divider rule with diagram and state equation.
b) Explain Gauss Law.
c) State the Thevenin's Theorem and explain its analysis with an example.
Q. 3. Solve any TWO of the following :
a) Find current in 10o in the circuit given below'?- o -/t.-
16
e)
f)
L2
t2
*",fl*14,,'-b) Find current in 204 by KVL
\o-q tr.-r
lo-qc) Find the current in 25O by Superposition Theorem.
10v
Q.4. Attempt ani FOUR.
a) Explain the construction of a capacitor and list;the factors whichdefine capacitance of it.
b) What is an AC bridge and DC bridge, list theirtypes .
c) Which bridge network use for resistance measurement explain it with a
neat diagram.
d) State the Faraday's Law of electro magnetic induction.
e) Write a note on Dynamically induced emf.
f) List various parameters of magnetic field and explain any one of them.
Q.5. Attempt anyTWO.
a) Explain following terms and state its significance and its uniti) Capacitance
ii) Capacitive reactance
b) Give the comparison between electric and magnetic circuit.
c) Write a note on Maxwell induction bridge.
q. 6. Attempt any TWO
a) Write a note on :
i) BH Curve
ii) Hysteresis loop
b) Determine following parameters for the below given circuit.
i) total capacitance (ii) charge on capacitor
(where C1, C2, C3, C4, C5, C6, C7, C8 are lpf)
c) Draw the circuit diagram and explain the operation of Schering Bridge.
16
L2
t2
:t ri :* ri :l :l :t + :i :1.:F :1. rt + :t rF ,F ,a :F
ET-15113/Er-11113/Er-1O3BL-27 A77
SPN NO.:
ST. XAVIER,S TECHNICAL INSTITUTE, MAHIM, MUMBAI 400016DIPLOMA IN ELECTRONICS & TETECOMMUNICATION ENGINEER!NG
SrursreR ExAMtNATIoN - SUMMER 2o1zSEMESTER - II
Timeallowed:3hours Marks - 80
lnstructions : -
1. Answer to the two sections must be written in separate Answer Book/s.
2. lllustrate your answers with neat sketches wherever neceisary.
3. Use of Mathematical tables and Pocket calculators (non-programmable) is
permissible.
4. Figures to the right indicate full marks.
5. Assume suitable additional data, if necessary.***:* f :tt* ****:F,f *:f *** **+**:i:tri* 't.*
,i r*,t.*.* * 't****:**,t
.:1 .''a:,
Q. 1. Attempt any FOUR.
a) Find fl if siny - Ios @ +y)' tlr ' '
L6
bl Evaluate Ltry
c) tty - f(x) -d)
e)
f)
xB -32
#, show that f (y) = x
x7 -az9
Logx-Io92x-2
,lT+x -,1T4tvaluate ,lm -:--:-x+0 x
Differentiate sin-1 (cosr) w.r.t. rrind4l if v = tan-1 fl-cosr)dt ' \ sinr,/
Q. 2. Attempt any TWO.'
al lt x2 + y2 - 4xy, tindf2xL 2-z_ zb) Evatuate t%'- "--
cl tf f (x) = L , show that f{f V@)l} = x
Q. 3. Attempt any TWO.
a) Differentiate i! = e2' + xx +2x w.r.t. x
b) tt y - "rasiz-1r, show that (1 - x'z) jj - xff- mzy :
L2
Ltmx-2c) Evaluate :
t2
Q.4. Attempt any FOUR.
a) Find the maximum and minimum values of
!=x3-9x2+24x
16
b)
c)
Find the modflus and amplitude "f g1#A)
Find the values of a,b,c,d
forwhich l: "rll: 'rl= [; '.]
dt ,t A = l, i 3], *n., wo" "t mat ixis 42 - 4A?
e) Find the mode of the following distribution
f) Following are the mark of 10 students. Find the mode and median :
2s, 15, 23, 27, 14, 25, 23, 23, 2s, 22
Q. 5. Attempt any TWO
a) Find the point on the curve y = x2 - 6x * 8, where the tangent is
parallel to the X-axis.
b) Find the inverse ofthe matrix
rt23llz + 5l uy najoint Method.hs6l
c) Solve the following equations by Adjoint - lnverse method of matrices i3x+2Y =74x +3y - l0
Q. 6. Attempt any TWO.
a) Simplify using De Moive/s theorem :
(cos39 Iistn3?)a (cos49 -isin4?)s
b) Find the mode graphically by plotting a histogram
x 0-10 LO-20 20-30 30-40 40-50
f 12 15 17 9
c) Find the median graphically by plotting an ogive forthe following distribution
Expenditure @s) 0-10 LO-20 20-30 30-40 40-50
No. of machines T4 23 27 2l 15
t2
12 \-
ET - !527v tT -rlzt! EV - 7O3-O2M t7
X 0-10 LO-20 20-30 30-40 40-50 50-60 60-70 70-80
f 5 8 7 T2 28 20 10 10
:* ri***.t** **** *** ** *:t +
ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
ITiGGLTI pro*r, ,oossgsr, ,oosossg, ,oosrger, zq+eogsg
1J The answers should be examined by key words and not as word-to-word as given in themodel answer scheme.
2) The model answer and the answer written by candidate may vary but the examiner may tryto assess the understanding level ofthe candidate.
3) The language errors such as grammatical, spelling errors should not be given moreImportance [Not applicable for subject English and Communication Skills.
4) While assessing figures, examiner may give credit for principal components indicated in thefigure. The figures drawn by candidate and model answer niay vary. The examiner may givecredit for any equivalent figure drawn.
5) Credits may be given step wise for numerical probiems. In some cases, the assumed constantvalues ma\'' \rar\/ and there mav be some difference in the candidate's answers and modela n s\\:e r.
6) In case of some questions credit may be given by judgement on part of examiner of relevantanswer based on candidate's understanding.
7J F'or programming language papers, credit may be given to any other program based onequivalent concept.
o
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ConfidentialAUTONOMOUS EXAMTNATTON - SUMMER / WTNTER - 20
Pragramme: DETE SEMESTER: flCourse Code: e f l< 2 )l lCourse Name: 13.* * , fl\^tLTime Allowed: 3 hours Maximum fub}rc, BT-'
Serial No.
of QuestionModel Answers Marks
:Q
(^) -(in Y Lo.r / x +,*r" I'DrlIY^**kJ'* { irL -^l-i- r.r.x.t rX . r-,? G1 A.
-JUc-e. q d.rr
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C-a) q d.r I d.r (z-s
CI clp 'K+ ? 'A+ \ d t^-t
\ (r6)*- L 'a+ ? '7r+ Y
r-
@, ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
PH O N E : 24455937 ; 24454559 ; 2445L96L; 2446O359
Serial No.
of QuestionModel Answers Marks
dy f /orn \A /r- +,.r'\ # l-1 I
d,'. L_ '7J4-t t ?( + t1- )(,
d,, .rr4 | | Ct')dz .4,J.< uiDy (z-+>l *l )
dv I
4* B.JJIaq - |I
( l-\) L -,' c'f - IzE7 _>rl
l7a. -Z (t)* o- *1- l.f
i i*a'( l's | ,-, L. ,, ,l- o" n)
./r- -&u ,)
.>.-'-54. '><^9.-L
:If,L\t 1 ycz.L LA ?CI
l4) )
rQ-1 9) \r 4- fif:.1 : L+l -4"-- *+l^t z.=lfq)-r^-l
t ,.4
q < ?(+l( A( -t
(t,tUcZq - \A ,a.- * I (l)aa1"1-/ rar I .{ -l \ -r- w (t -r
ata .a' t-rY .{+ t
EJ
f t)l[-l V-t
.|f*,r1n i).,.o v<J7
U
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I
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ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 24454559 ; 2445L9 6L; 2446O359
@
( l-+ z)- ( t -^ A+4(e--b)=
9_
{t + I-t
Ay).'.
I
t-
2/ si',nL 4
( t'l
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@ ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445L9 6t; 2446O359
Serial No.
of QuestionModel Answers Marks
u0 z'/ ?
r)A /NU 2_
s- J-tt I
//
f[q.cx ^')-tL.t.r--l-v = q1r\- tri*J clq-l d*
t)v )
L* -+- 2 .e J.l L / r-+ Jg-\ (t)da. TU e;)
tr\^, l: -r L'-r L \^,rC g<-t-J I Q
o( + Y dq =- z-/"1,+ J,YJ Orud* \U d*)+r J \r ,i.c.r 9 -l -f* -, vd"J / l1JA 0 T*
dq t \r> 2-) - ,u G?^.- -C11d.\ U
Id.l 2-S'* ><* lrtra; .{ _-/_tC // {
J
Clf.r -l i',( - 21a r- \ -2
"fl I -)\" t)'7_?r
I f)L* 49i qt
,2* ta 0l, --S t>
2_-2L
L'* ( g*-rl L* L r i-rl 2* f ,r'a
L
\-
i/" /l\ \.L4t..r....,&-
ru i{+Fi "41\fr,l)<!ilX
ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445 t9 6L; 2446O359
@
ffiG-ml
Model Answers
6lt,' L:- G.
/r
=l
| -{Cz'1 t._ J.
l.-)\- "(_
+<-
-f att rJ \ ./
-l
| -->t
'*4**
t
(r)
-
@ffi ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445L9 6L; 24460359
Model Answers
dy
2 ?( usq 'v\
V.x loq n^
.-- .ly.- ; ( r+
Jl 2_
-tJ, +
d5t qcl3-d-t- o cd.-
{-O \}r <-
(",
ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445!9 6t; 24460359
Model Answers
d.l I <. '_t- *''( 14 Lc-f 'n
d^
6[ a. r -L-t'- -t
l-zL J
I -x-> ",19
r \ 11t railr t.r 2
dscJ*- 6{+t-
oln L
F
ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445 t9 6L; 24460359
tr_
Serial No.
of QuestionModel Answers Marks
(L) L-, L.1 ^- Lo.t 2-q-+2_ '-Jc<* 2-
D" L .x*) :l- A's av-+Z b+s ?( c'.rL; L"r /q+tl * L'qg- )
b+.- +,
l.=- / atq l ct)L->c i J \ 2-,/
I
L -,, L* /r + t- \ - C 'Jl-+ o
0 ( 7)I
---.._TTV]L -)cr
p2-)
L-- );:, - / t * #\L a-
L*1-6-.-^ \ U J -)
t 't l-;r-' /,+ttt-
5
5->o \ 1e \c=di t.-c € I
7d Z/t J
*
ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445t9 6t; 2446O359
\,
Model Answers S..h*. - It3A1
t-/\ r \'l/X
ds a\:2-
:'AI x - A-r
- 1+ I I'v->
)t-z-] : O
1< =- 6 oY 2<- =-
.*t- ltrx .t 2-*f- d'r.
z- 6^ -
-zaV ^'. ^ l- e4 ivl.a-
-lP = 2Q-lR=
A. r"^-i ^; iM\.lrr.,* 4,t-
ST. XAVIER,S TECHNICAL INSTITUTTMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445 L9 6L; 24460359
\
Czr
cl)
u)
.f..i
Serial No.
of QuestionModel Answers Marks
r- *7l, i'- I vrn t^.ryta- \,1 a.) ),-\rr .n\ L5- Q,w z\ 1-2>4*.c'
L+)
'-1.,..=- Le- 144 +gC
l,6o-lqqIr
i . -Tf,. b.l ^7- 6l v* i)..l I
(_)
flr L.* z-- ,+r '\ 1z+i )5-(
f,+ 2 + e, r-i. oi- z +3i-l ')
5-( 3-rI -t-3, /r +g:t(g+r) 3-ti + qi
y'-rLoi * / t () i- tl_
z-q
- /*t ) lo
-t --'- O -l- I r,c->-=c), Y---l
J
T?\'*) t b) .z--
M., ^1., lz-l= I p p6^blZt =-T.L
(c) -q 4t a- L123 ? ) I l.,
L -.-J l- J J
lsn +t{C! qb*qa flo-1 )e a-+ qL 2 Lt12'cl C)t
L lL-
l=t>-r! d = oea- +tJc 2- \\
9,c + \c = O zu +3d =
L)J
ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445 t9 6t; 2446O359
(t)
A^(),
rl
f,,,
t,^'{l-^t)' \l'vr)
ll
/
Model Answers
Xe. => 192a-
-JC =
,ZL= -L4
a =-3x-{ '"
Ft
to
6-= 3 *4 A= 9T q 7
L
Xr)-re-^ D.+( Zz.,>1 (t 14 xr) +(e x4 ( I ^4,
x>\+f 2x t-) ( zx') t ( lxrzxr)+ (l r u 2x
Serial No.
of QuestionModel Answers Marks
l-t,+ a+ t. 2- +2+ t, 2--i_\42 -l(
2-+2=t\ 4+l+Q 4+2-+z-2-+ Lt+ z- L, .+ 2-t.L L +4t t U
q I .qfa-q.* )-l
9eq
f-trr qa& I a2--Re8 4 z-tLl.qa€ 2- z ,l
- [-q 8 gl I-a ? ,(1e a ?- l- l* L e, --?Fq "+94)
f q o h -l.-) q n I t': !:l -i"---
n SctA^-r)
L
Ce-, Ft t -J m.,t-.-da ^-
I
9( I A-tOl to-Jc) Do-2<\ qo-Qol (+0 *5o So -6o [. s ^?rJ %:-t
+ I s I s 1 12- I 2_B I e*o lo I ts
\/
ST. XAVIER'S TECHNICAL INSTITUTE @MAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445L9 6t; 2445O359
Model Answers
t
O .- S-? t')
2€-lLz(Le )- lL- zo
lq 2>. p--Z Lg ^ 2 3 2s, ) c. l,q-. L+
as-
@ffi ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 24454559 ; 2445t9 5L; 2446O359
Serial No.
of Question
N=IC) Model Answers Marks
*4,..t ia.-, - i N \ r-6 crbs.n. Jto-'r - &r-,'\ ltA\2) Vz ''./
L
.l q'++'t o-bser.rr^l'i .,-, + b fh *,, ,.r^L *o^z-
23 +?2 4L Q2z )
Itle. Fq t^o-k.,-, c-t . +}.- C^L\\^e-
I o^^
L ,2_Y = a-
-L e-#* /i)
Tr-' I f-*^ *^l-- A'^c '7vun.{., 2t-
-" L 11 .s l"b e- a+
d* dlr \) oR.. r fat".- {ol<r^f ;^ B^t ^11,L +n X.-^t (a a-1- Fk;
.C[..h.- {wl x9 o^L ]'- ' -r..='., '.,-,a, b, *0LlrDL.t^ * ^l -e''{ ^J, *4*,*.^
l) 2cl"9 9.x - kdn
Lt -L :o -- Z'>t =-g r.=3I rl^..^ .r - e P---*",n- 9nu Cn Llo L
) J\ .-L- L,** F 7L)
;Jl "
b-;^i- t'3 3. -.r )_)
(b) A=- f r .2- a *te4 A = 4r9cA )
3 -rt l*l
lAl = I L32-4 q s1 -zlL r +312- 4
5 f { 5 € I 13 € 3r
=. r e r*z-s) - -(r 2-*\t) + 3(rc" -r
(g
-fc9
,;+
e)
L9
\.1-
I
I
)
ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
PH O N E : 24455937 ; 24454559 ; 2445L96L; 2446O359
Model Answers
Q,n c,tt l ,
= - i 7-3 =
r+s- a_11
= -lr<4 :;
@ ST. XAVIER'S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445L9 6L; 2446O359
P)
b
\-
Serial No.
of QuestionModel Answers Marks
J 0 II
*f 3 *21
I Ol-r 3 -z L
1
-2-t6I &l - -l'l
+l -? L-lA -2 -a -l
2- -r 6)
(e) ?z )-2-\.:-Alt 1J- 2,Y, -- I O
tJ- l-0 rr -.r+A 'ft d^li'-",r, ; r^-fi;," +o-r*.t, 2- n< - f 143 Y lo
\l a-v
A x B : 1""I"^ ,4J g : Iz{
-3
_t x =- ['t'I ^J hJ='1"
Y= A B L tbJ rlD
o .fo .= AJj /h) . lnl . 4-*.-t t\'tral)
a-t-l;,"ch* r.,-l at ,, ,- (-t )+t
x ? - L[)t<3 =IJ u
tt tt At2- z GrJ X q z (*l)-x9 = 4t, Lt ' A o t z (4 Pl 'Y L=(-l)3xz-= - 9_
rr tt .^rtt r-rf+tn 3 = ?
c1)
ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO O1-6
P H O N E : 24455937 ; 2445 4559 ; 2445t96L; 2446O359
cr)
Model Answers
fl(^{rS^
z-zA
A
x1 +€zx'.') \ zt -z'o-q)cA) +(3"ct-
1
c-tpC.tI *isit,4Oc-,rr> 3B + lsjn 3o
r fQxs:rA3 /. - rSxtl
i.t ,. CIf) G+isl
o * istr" (T
ST. XAVIER,S TECHNICAL INSTITUTEMAHIM CAUSEWAY, MUMBAI 4OO 016
P H O N E : 24455937 ; 2445 4559 ; 2445 19 6t; 2446O359
Model Answers
3o qo go 6o
I e -2-a)
+ Y ^tit
$= lry =s-o
M.J".o.- = 25-