Bangalore Institute of Technology

V V Pura, K R Road, Bengaluru-560004

NETWORK THEORY MODULE 3

By
Girish Kumar N G
B.E., M.Sc(UK)., M.Sc (Engg) by Research., (Ph.D)
Assistant Professor
Department of Electronics and Telecommunication
Engineering
Bangalore Institute of Technology
V V Pura, K R Road, Bengaluru-560004
Email ID: nggk1234gmail.com
Phone No: 6362330792
w6

~ODUt-€ ,., 3

---
Tf ANSl f NT W;CJIil \JJ our.a, AND :[NI TJ./l L CoN DITXONJ :-
~ ~

4W~, ~ .
-;--

4 Btl,av<.PlU ~ ~ ~ ~
Y E~ 1 i rv:lW $< h:Mi ,,c. owf,,,: kou .if> R, L I Rc QJNJ.-
«LC -W\.Cut11, e!>'l .A l t,,. 'DC = j;oJJRta ·

~ f ~ .vi~ ,wtgLiWl2 :-
1'. , Cf~ Ovu ~ , w. .IJ\9~ ';)fu ~ ~
U\.e. .,/,rudi/1\ 1 a, ~ ~ .

~ JU ~1 th y elf ~014 t:JN., ~ . d ~

~ 1 ~ .At ~ UV, ~
' ~ - liMOJt ~~~ <lk. ~~1 ,
-!Jc y,ftl.,(, ..AJJJf\, .kvvow J:!,u, V.wi,,,evJ.i 1-- .i/<hv~ . .AWJ!. _ =
~ ( \ ,of£~ ! .M9fu-ch )J, ~ vM ~ tr .;ulv.,~
~ j Vlil~pl ~ ~ ~ JJ.trn~ :-
-- = =-
~ '£ESJ..5TOR, :-
1<.

. '' It
~1 .I '

GIRISH KUMAR N G
ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04
nggk.1983@gmail.com
Experim ent No. Date

·-
I

V - L . &iL~
ctf- ..
(_
-J'

a_;
~
::.
cLt
-=,

,
r

V
F

i Co+
GIRISH KUMAR N G
ASST PROFESSOR
Teacher's Signat ure .. ........... .... .... ........ .... ..
Remarks ... ...... .... ... ..... ......... .. .. . DEPT OF ETE, BIT
B'LORE-04
-·-
nggk.1983@gmail.com
-

~ C~ACITQ~ :-
K.

r----Y.
0- Ve_
]_ C
_L
" T/ ic- T
' ''
'' '
1tr

GIRISH KUMAR N G
ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04
nggk.1983@gmail.com
 Experiment No. Date

V, C o ➔ V (o- +
-- t
(_
•
W-t vU0t1CWY\
, GIRISH KUMAR N G
C o- ASST PROFESSOR
~ DEPT OF ETE, BIT
vco+") ==-
v Co-) B'LORE-04
nggk.1983@gmail.com

V •

-11--
Vo

Remarks ................................... Teacher's Signature ...................................

- l

, ______

~
_ _ W\Jv,__--
5, ( I

C O G-
f1

-e--oc____
j) tv,.., tt,v, e,k.l .4wwn V= IOV1 R~ /0...Q , L~ .LJ;1 C= IO;<F OJNJL

vG Co ) -z;. oV , H-
1
~ .{ Co+) f)JA,-& (1 "-;_, Co+ ).p,.. r:J 2- ..t'. ( 0 -+ )
ci --& 2 Gt~ 2-
~ ~, ,o9- L = l }f
I • I 1'

_j__ • GIRISH KUMAR N G

v~
' lo I , t ooD
ASST PROFESSOR
1 11 t '

R J_ c. = 0,rr- 1 DEPT OF ETE, BIT

J
B'LORE-04

~,ov T nggk.1983@gmail.com
Experimen t No. Date

V:::. R'. i_, + Lcl ~ _, I

/'
1' -ti+ ct - CD
Cl-t" (._ ..
.D r
. i.Co+):: o A-
p I
J:fa- V '-. ,
J

rlt -l = o+ '
\ { _J_ ( lt AA
I uL--
\ .
I ..J
-:,) ,0
·,

ni r o+) - ") \l - f<,' ( n+,l+ / rl / ( ff ) -4- I

1
,•Jff) dt
V -

ri+- c , ,., . v--

rt+ '
..
.,,

Vr (o+) ~ cJ ~
-
\J :::- Ri, ( o+ -J+- I di Co+) -GJ
-
ct.+ GIRISH KUMAR N G
ASST PROFESSOR
V= L di (n+) DEPT OF ETE, BIT
B'LORE-04
ct+ - '
nggk.1983@gmail.com
di (on -- V .,--
10 V ~
IO
clt L 1tt
d 1· ( o➔) - 10 A /6eL
cti
d.1-.{,Co-t) =? \J =- Ri' ( o-t) -1-
/
/ di(ot) _J_ I r i C6'tti -lh '-/
d, -b- ' d._-t .L ,
-
'D..AOJ.
vv
RI
-
OYI -tf9' IHl~ . 9 f. .
.
0
0 ::- ~ cli co+) -1- I c{)fo-t-) .J._.. .t Co-t)
ci -f ct{ 2, C \

0 =:. (10) (10) + I r1 2· i, C01 ) \ I ri

-
I" cli 2- / ~

-
Teacher's Signature ... ... ............. ..... ... .... ....
Remarks .. ... ..... ..... .... ..... .... .. .... .
 ,J ')__ i' Co+)
~
f

\_R_JV
__ - 100 A /t:,e.L2-
cl-b 2-

'f'M&um 2 :-
~ t1iu ~ ~ JYl ~ vQ)JJtu '< {$ ~
oJ- ' -t =- v, »JiU'l .tw ~'-wt ~ . frl'CX J-8te 1/okJ_
~ 1 ) ,d.l ' ~ al-
Q cl-t: J {; . ,, .
t z:_ o+ ! &,(99(_ .t&rnw ~ Vz I 00ft,

R- = I ooo-.J'L --OJ,t\,d.__ · C-=- j_ Jlf: .

~ ,

vI'0
T
! OOV Tc~ .L 1Jlf-

~hl- ~u .{g ~ at --i :::-o 1

f iol-b
GIRISH KUMAR N G

V ;::_ R.L -r ~ -----{i)

ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04
(pt t ~ 0-t- --&-(Q00ft. nggk.1983@gmail.com
[
\00\/
n .. ,t(ot)

I' .::•I, ., , ,
'•11 ,
' ' J
i ( o·t- ) -=- i ~ roo v
Rt . 1000..Q_
diLotJ
a:--r
 GIRISH
GIRISH KUMAR N KUMAR
G NG
ASST PROFESSOR
ASST PROFESSOR
DEPTBIT
DEPT OF ETE, OF ETE, BIT
B'LORE-04B'LORE-04
Ex periment No. _ _ nggk.1983@gmail.com
nggk.1983@gmail.com Date

•'

___ _.d.i.iQJL - - 0 ,1 -
------.=..Tct-l-:;. .___ _ !J IO-r~,000

R cl 2 i (ot) - - I ri i (n+J
C ctt

Rc d-.-t

- 'f 90~_ .3__:_-_ _ _ _ ,_ _ _ _ _ _ _ _ _ __ ---l

1 - - - + -- - - - - - - - - - -

·----- - -- --·-- ·---

Remark!! ...... ......... ,,.. ...... ... ...... . 'l'euchol''s Signature ..... ..... .. .............. ...... .. .
 GIRISH KUMAR N G
ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04

-- nggk.1983@gmail.com

~ ,~ -k h K, .u Gl -r,l%dcQ'\· a, ~ :
.iJ JJ.ncL-9l ~ • ~ UW!di ·k0v1 ·
Q ~Q {A( },(i '+c 9.-t Le__ ) .
~L 9v < .fl ')
,-- j~ 0

_t C L ,-~
R I\- -- -, i Lo-) :: ~ ~ too O•lft
~
7-

[ OOo
\,O D V .-

i \tt,o,) i( o ij I .z> ( ~ a
-. .. · '\•. ~khla ~Jt · ~ .
O· IA ""
.
7C

VYU ~ 0']

.
-z> ~ k
WW-v\._ v .
,Av \ -k:Jt<t9 ~ r ~,lV .
• , N )$ & tu!)((t ,
~ & \ ,-0__ ~-t9 b
~ ( o+):. O• l A

: '• I ,• f
'• • •~1 I • I
b
''·• I 1 •1

e~ Co+ ) -1· L di [d)

Cl-l z o
Experiment No. Date

ct' ·r) -I )

L 1 J1
t)

1z_

GIRISH KUMAR N G
ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04
nggk.1983@gmail.com
-t
~

n'
,,t I

Teacher's Signature ..... .... ........ .. ... .. .......... .

Remarks .... .. ............................ ..
 GIRISH KUMAR N G
ASST PROFESSOR
DEPT OF ETE, BIT
B'LORE-04
nggk.1983@gmail.com

5- 1 (;:, - i ~ )- «A_ (i1 -L~ ) C 0

. cl*
S- U,-1,,)-~. ct;,"- ~D- 8
clt '
+ J .¾.+·Ye - ·- t ,_ o - e
r,;.,
\.::J
l{J- 2

- 5 di~ . + Ve I - i · - V,~2 - 1 (;,_~ -ii} 0 ~ {f)

~~ ~
-

~i - - I •

, C -) ~ o =
J,,)_ 0
,,e2. (o+) .,.J2Cot)-:_ .o,4 - .
• VC,Co-) "' gi V _ [ Ve b t) - <I)~
\Jc,_ Co·)oc ov IVc.a co+)zov]
. " ' ' .
fMn (j)

5- 1 ( i 1Co-+)- i (o-t )J t - ~ --4.iq

cl+
_ Co-+) z o - : GJ
2 '

QJ2,1 d 4l or ) +Vs_ Co+)-1=0 -®

ri h
• , ,, •I I
~ d. -lo.. (iit) t- \"'<9'\'.J + 0 =- I
,,, ', 11

•1. , 1• 1
cit
Experiment No. Date

-3 di ~( o+) . \- Vr
L. l
(o + } - 0- Vr L
/
co➔ ) _ (;."
/LL/
( 01 ) - i,,(0 1 fl"' D
J

. dt

- 3&i 2Cot- ) + ~ 0- 0- 0 -tl-t ;;: 0 - 3 d.i., Co+)

.Z ) _I_ r.. =- n
alt ~ Ji? ( n ~I ~ ~ fu\ (n+) ;: :'J AI~;, d -h-
cit
~

m
in Cot J - .i, (ot )- i 2.., ( ot ) -) 1A c::c Lt - i ~ClD +)
ir1 (o-) ~ 1A ~ i r, (o +) 2Q / rn+), ~ ~ A 7
[ 5 I

(i) @ ~® -t{XYY\6 e . ~ :-' ( 1 st (Wv_d ~ve-J

W e &LOJ-.
- =-
P~vl.1
-
~
~
- if ~

clJ_>L
-P
-
Cl( s)., - r d r o',1 - d (i .,)7 - ~ d d r~) l ;:_ o
cli " T7
c({- - j dt ci--t
ct~ L--
_j

-ct.(i,') + d (i~ ) - ~ &~ (¼ ;:: 0 (//

~ GIRISH KUMAR N G
ct.\: d.+ cl+ l- ASST PROFESSOR
DEPT OF ETE, BIT
/1 ~ J d ,-_-1) + !1_ ( v, I' - d r;, -t ) ~ o B'LORE-04

di Ld-t cl t- cl t - .;;-L-
nggk.1983@gmail.com

~ ct]. .ln' J..- d Vr? C-t ;; 0 - (i) I_ -

ol{ 2- c(t -

cl \Jr ".-~ (i-) -d ~ - d i, - d l. ) :: 0

- .~ & ( ri_;',, .J.,
~

'2 LR _,_ c{-f:

dtL ~ (ii ' cl~ d,-b-

r.
l
.,,--,
- 3 d \2 ~ Ve, - I -dVin ~ d..t~_ + - di, - n _(e )
..1-
- \rccJC.
di ),, dA: cli cli cit ..l-d.J..,

•rl t v,, =- 3
'
.{,'_ . rt J - {q)
J
'l... , ~ J ( / \ ~/J :::
' l".J ,
;,I- "' I J .L -
( J (_~ ) I /

Vr Cn-+- ') :.:: · ~ )( .• r ➔ 1. rl

f'l 1 =, <J v~ ~ot) - .5 1~ r.;.-,t)=lcJ..' ,(01/•o /\f>f.(
1*
- )- - ~
I

Remai:ks .................. ................. Teach er's Signa ture ..............................i...

7
f yusn7 ©
- di ,(oT +- cj ii-( o+) _ ;} d, 2 /4_ eo+).z: 0
ol6- all ctt :1-
 &. l) I
Exper iment No. Date

5) 4M J:lti,, M l'11 i'-h ~~o n , H--i ,, ..1<, i.Jt:I~ k ¼A ,1' fru cf 14-j -b .=. o/

/4 P,1'°' .19 ~ (}J, -t .:: 0

(ii_,, \;.,, ,. rJCf.KcS-L - S1'11rJ~t:7
en; R, ~
RC j
~ r}._).,~- Vc51°f\ w+. K, \ ---.... -t=fJ
ct{;- L l
-
(~ -l- t-==- o ~(19d,~ ~51.
✓o
r_
.__,,
'f\.Ji-b..,.._
~~) :
I)
"-,; ::; >

L
' v.t'.-1
--
~-
>
j"'t
-
'l'V

~
•.
~ ] T ~ L
)

vaS. n.t&h--
I
I
J
\. ..
- ./
I

(~ ~f f ,'; ..(_~
!?;
V c.,·"' r5t =- R i' +- I (i.:d .t -CD
L J
'L
V
.-vi
\ r - .--
r
J Yo Si'n. w-"t .: . ~ ,i,,, + L- c(i_? -o
l I
cl-c

I
I
~ k-Ld J V0r,S U9¼5 b ==- f<J di, j_ ), t

C,
cL~
.~J)<f ) f ~
~~
.~u (~
.oq o'-
,C.,\ (\
~v ~ (' VovS
- r

~
,(
v ~
GIRISH KUMAR N G
"
'
I

ASST PROFESSOR
l DEPT OF ETE, BIT
B'LORE-04
J, ro-t) : :- Vo S,'nc.S t
R
-m nggk.1983@gmail.com

•
Cv t- l OA -~
Jv,
- /
=-
-
._,

p.,·o
I

Teacher's Signature
Remarks .............. ................... ..
. ·········· ··············
···········
 V WLl9se,J { :: R ' di1 ~,il
0 d-L C

Vo WLesWt " R_ di1(0 1 ) + i I (o-1)

cit (_ GIRISH KUMAR N G
Vo WUtlc.S t = (<. · ct.lJlo+) -J. \1 Si'~cJ /; ASST PROFESSOR
0 DEPT OF ETE, BIT
d. { {Ej ( B'LORE-04

V~ c£ ~ ul t - V0 Si'ouft ~ ,t d.i[o+)
nggk.1983@gmail.com

. ll a-b
ditCot )" . ~ ( uSUl.S c,5t- Siri~ t]
tt -KL R I
V0 Si'n c,S,{; :=. I< i 2 ( ot )-1·L dt Cot)
2
ct t
~ . o + L <J-1· Cot)
2
Jl
 K K
R R

i C V i L
V

K
R

V i (0 )

K L
R

V i C
 R
1000

V i (0 ) i 1H
0.1 F

a S 1000
b
i 1H
100 V
0.1 F
 S 1H
b
a
5V i1 (t )
10 V 1 F i2 (t ) 1

5V i1 (t ) 1

K R2

V L
R1 C i(t )

1H
R2

V L
10 V i1 (t )
1 F i2 (t ) 1 R1 C i(t )
 10

va
vb
10 20
5V 2 F K
10
R1 R2 R3
i1
V i2
C
L

10

va
vb
10 20
5V
10
 10

va
vb
10 20
K L 5V 2H
R
10

V i (t ) C

V i (0 )
 A 1H

K
B
i
100 V