EE6201Circuit Theory Unit 1,2,3,4,5

7/21/2019 EE6201Circuit Theory Unit 1,2,3,4,5

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SALEM COLLEGE OF ENGINEERING AND TECHNOLOGYSALEM-636111

DEPARTMENT OF ELECTRICAL AND ELECTRONICSENGINEERING

Year/Sem : I/ II Academic Year : 2015-2016

Prepared by : M.Balasubramanian M.!. M."a#es$ %anna M.!.

UNIT-IBASIC CIRCUITS ANALYSIS

PART A

1. State Kir!"##$% ir&ita' 'a(%. )Ma*+,&e //0

%irc$$&''(s )urren* +a, %)+: $e *&*al curren* 'l&,in *&,ards a #unc*i&n p&in* in a

circui* is eual *& *$e *&*al curren* 'l&,in a,ay 'r&m *$a* #unc*i&n p&in*.3 %)+ can als&

be s*a*ed as $e alebraic sum &' all *$e curren* mee*in a* a #unc*i&n is al,ays 4er&.3

%irc$$&''(s &l*ae +a, %+: In any ne*,&r sum &' *$e 7&l*ae dr&ps acr&ss *$e

circui* elemen*s in any cl&sed pa*$ is eual *& *$e sum &' *$e 7&l*ae rise in *$a* pa*$.3

%+ can als& be s*a*ed as

$e alebraic sum &' all *$e branc$ 7&l*aes ar&und any cl&sed pa*$ is al,ays 4er&.3

. Dra( t!e 2-I !arateri%ti% "# iea' 4"'ta5e %"&re. )Ma*+,&e //0

3. I''&%trate Kir!!"##% &rret a 4"'ta5e 'a( (it! a e7a89'e. ),&e+,&'* //0



:. A ;< re%i%tae !a% a 4"'ta5e 2 = 1;/ %i3>>t 2"'t%. Fi t!e "rre%9"i5 &rreta 9"(er. ),&e+,&'* //0

;. T(" a9ait"r% C1? C are "ete i %erie%@ i# C1=1/F a e&i4a'eta9aitae i% 1.6>F. Fi C. ),&e+,&'* //0



6. T!e re%i%tae "# t(" (ire% i% ; < (!e "ete i %erie% a 6 < (!e

"ie i 9ara''e'. Ca'&'ate t!e re%i%tae "# ea! (ire. )N"4+De //0

>. A %erie% RLC ir&it !a% R = ; <@ L = /.1 H a C = 66.3 F (it! #re&e* "#6/ H. Fi t!e 9"(er #at"r. )N"4+De //0

. I t!e #i5&re %!"(@ #i t!e 4a'&e "# I. ),&e /1/



0. Fi t!e e&i4a'et re%i%tae et(ee A a B i 5i4e #i5&re. ),&e /1/

1/. A &' i% rate a% 3/ 2@ 3/ . Fi t!e rate &rret a re%i%tae "# t!e#i'a8et. )A9ri'+Ma* /11

11. De#ie Me%! aa'*%i%$ "# a ir&it. )A9ri'+Ma* /11

Mes$ analysis is *$e eneral me*$&d based &n %irc$$&''(s &l*ae +a, %+. I* usesmes$ curren*s ins*ead &' elemen* branc$ curren*s in *$e circui*. A number &'

simul*ane&us eua*i&ns are &b*ained 'r&m eac$ mes$. $e s&lu*i&n &' *$ese simul*ane&us

eua*i&ns i7es curren* 'l&,in in eac$ mes$.

1. H"( are t!e #"''"(i5 a##ete * !a5e "# #re&e* )a Re%i%tae ) I&ti4ereatae. )Ma*+,&e /1

a "esis*ance: "esis*ance " d&es n&* depend &n 'reuency. 8ence resis*ance &' *$e



circui* is una''ec*ed by *$e c$ane in 'reuency.

b Induc*i7e reac*ance: Induc*i7e reac*ance 9+ depends &n 'reuency because

Induc*i7e reac*ance 9+ 2;'+ <. $ere'&re induc*i7e reac*ance c$anes direc*ly

pr&p&r*i&nal ,i*$ c$ane in 'reuency.

13. De#ie N"a' aa'*%i%$ "# a ir&it. )Ma*+,&e /1

=&dal analysis is &ne &' *$e basic *ec$niues ,$ic$ apply %irc$$&''(s )urren* +a,

%)+ *& 'ind unn&,n 7&l*aes in a i7en circui*.

1:. State t!e 'i8itati"% "# O!8% 'a(. )Ma*+,&e /13

>$ms la, is n&* applicable *& *$e n&n linear de7ices suc$ as di&des 4ener di&des

e*c.

>$ms la, can be applied *& all me*allic c&nduc*&rs bu* i* d&es n&* $&ld &&d '&r

n&n-me*allic c&nduc*&rs.

1;. Di%ti5&i%! et(ee Me%! a '""9 "# a e'etri ir&it. )Ma*+,&e /13Any cl&sed pa*$ in a ne*,&r is called as a Mes$ &r l&&p. $e di''erence be*,een a mes$

and a l&&p is *$a* a mes$ d&es n&* c&n*ain any &*$er l&&p ,i*$in i*. $us mes$ is *$e

smalles* l&&p. A mes$ is al,ays a l&&p bu* a l&&p may &r may n&* be a mes$.

PART B

1. F"r t!e ir&it %!"( i #i5&re@ #i t!e &rret i ea! ra! * N"a' 8et!".)Ma*+,&e //0

A%J "e'er pr&blem 1.22.1? Pae.=&.1-@5 in )ircui* $e&ry by .A. C A.. Bas$i.

. Fi t!e &rret i ea! ra! "# t!e ir&it a t!e t"ta' 9"(er "%&8e * t!eir&it %!"( i Fi5. A%%&8e E = ;/ %i )wt :;. )Ma*+,&e //0



A%J "e'er pr&blem 2.2.2 Pae.=&.2-5 in )ircui* $e&ry by .A. C A.. Bas$i.

3. Fi t!e &rret% t!r"&5! t!e ra!e% AB@ AC@ CD@ a EF i t!e ir&it %!"( i

#i5&re &%i5 Me%! 8et!". ),&e+,&'* //0

A%J "e'er )lass n&*es.

:. A99'* a* 8et!" t" #i i" a 9"(er i%%i9ate i t!e ir&it %!"(. ),&e+,&'*//0


;. Deter8ie t!e &rret i t!e :< ra! i t!e ir&it %!"( i Fi5. U%e 8e%!aa'*%i% 8et!". )N"4+De //0




6. F"r t!e et("r %!"( i #i5&re@ #i 2S (!i! 8ae% I/ = >.; 8A. U%e "e 4"'ta5e8et!". )N"4+De //0

A%J "e'er pr&blem 1.22.D Pae.=&.1-@2 in )ircui* $e&ry by .A. C A.. Bas$i.

>. U%i5 t!e 8e%! &rret 8et!"@ "tai t!e 4"'ta5e 27 i t!e et("r %!"( i Fi5.)N"4+De //0

A%J "e'er pr&blem 1.21.E Pae.=&.1-E5 in )ircui* $e&ry by .A. C A.. Bas$i.

. I t!e ir&it %!"( i #i5&re@ #i t!e i##eret 8e%! &rret%@ 9"(er e'i4ere *ea! %"&re a t!e &rret t!r"&5! R L. ),&e /1/



A%J "e'er pr&blem 1.21.5 Pae.=&.1-E? in )ircui* $e&ry by .A. C A.. Bas$i.

0. I t!e ir&it %!"( i #i5&re@ #i t!e i##eret "e 4"'ta5e% a t!e &rret% I1

a I a I3. ),&e /1/

A%J "e'er pr&blem 1.22.? Pae.=&.1-@1 in )ircui* $e&ry by .A. C A.. Bas$i.

1/. State a e79'ai Kir!"##$% 'a(%@ (it! a e7a89'e. )A9ri'+Ma* /11@ Ma*+,&e/13

A%J "e'er Pae.=&.1-26 *& 1-?0 in )ircui* $e&ry by .A. C A.. Bas$i.

11. Deter8ie t!e &rret e'i4ere * t!e %"&re i t!e ir&it %!"( i #i5&re e'"(.)A9ri'+Ma* /11

A%J "e'er pr&blem 1.F.2 Pae.=&.1-2D in )ircui* $e&ry by .A. C A.. Bas$i.

1. F"r t!e et("r %!"( e'"(@ "tai t!e &rret rati" )I1+I3 &%i5 8e%! aa'*%i%.)A9ri'+Ma* /11



A%J "e'er pr&blem 1.21.F Pae.=&.1-E6 in )ircui* $e&ry by .A. C A.. Bas$i.

13. I t!e ir&it %!"( i #i5&re@ 2R a 2L (ere 8ea%&re a #"& t" e 1/ 2 ea!.

A%%&8i5 i)t a% t!e re#eree (a4e#"r8@ #i )1 T!e #re&e* # a &rret i)t@) T )t"ta' i89eae a e)t. )Ma*+,&e /1

A%J "e'er pr&blem 1.16.? Pae.=&.1-56 in )ircui* $e&ry by .A. C A.. Bas$i.

1:. !at i% t!e 4"'ta5e ar"%% A a B i t!e ir&it %!"( i #i5&re )Ma*+,&e /1

A%J "e'er pr&blem 1.@.? Pae.=&.1-?2 in )ircui* $e&ry by .A. C A.. Bas$i.

1;. Fi t!e &rret i :< re%i%t"r i t!e ir&it %!"( i #i5&re e'"(@ &%i5 8e%!aa'*%i% te!i&e. )Ma*+,&e /1

A%J "e'er pr&blem 1.21.10 Pae.=&.1-EF in )ircui* $e&ry by .A. C A.. Bas$i.

16. U%i5 8e%! aa'*%i%@ eter8ie t!e &rret t!r"&5! 1< re%i%t"r i t!e ir&it %!"(i Fi5. )Ma*+,&e /13



A%J "e'er pr&blem 1.21.12 Pae.=&.1-F0 in )ircui* $e&ry by .A. C A.. Bas$i.

1>. T!ree '"a% A@ B a C are "ete i 9ara''e' t" a :/ 2 %"&re. L"a A tae%

0.6 K@ L"a B tae% 6/ A a L"a C !a% a re%i%tae "# :.<. Ca'&'ate )1 R Aa R B ) t!e t"ta' &rret )3 t!e t"ta' 9"(er@ a ): e&i4a'et re%i%tae.)Ma*+,&e /13

A%J "e'er pr&blem [email protected] Pae.=&.1-?? in )ircui* $e&ry by .A. C A.. Bas$i.

1. B* a99'*i5 "a' aa'*%i% #"r t!e ir&it %!"( i #i5&re@ eter8ie t!e 9"(er"&t9&t "# t!e %"&re a t!e 9"(er i ea! re%i%t"r "# t!e ir&it. )Ma*+,&e /13

A%J "e'er pr&blem 1.22.F Pae.=&.1-@E in )ircui* $e&ry by .A. C A.. Bas$i.



UNIT-II

NETORK REDUCTION AND NETORK THEOREMS FOR DC AND AC CIRCUITS

PART A

1. State S&9er9"%iti" t!e"re8. )Ma*+,&e //0In any linear bila*eral ne*,&r c&n*ainin *,& &r m&re independen* s&urces 7&l*ae &r

curren* s&urces &r c&mbina*i&n &' 7&l*ae and curren* s&urces *$e resul*an* curren*/

7&l*ae in any branc$ is *$e alebraic sum &' curren*s/7&l*aes caused by eac$

independen* s&urces ac*in al&ne ,i*$ all &*$er independen* s&urces bein replaced

mean,$ile by *$eir respec*i7e in*ernal resis*ances.

. Ca'&'ate t!e 4a'&e "# R L %!"( i #i5&re@ %" t!at 8a7i8&8 9"(er i% tra%#erre#r"8 atter*. )Ma*+,&e //0

3. !at i% t!e 'i8itati" "# %&9er 9"%iti" t!e"re8 ),&e+,&'* //0 Superp&si*i&n *$e&rem d&esn(* ,&r '&r p&,er calcula*i&n.

Superp&si*i&n *$e&rem cann&* be applied '&r n&n linear circui* Gi&des &r

ransis*&rs.

:. State T!e4ei$% t!e"re8. ),&e+,&'* //0@ A9ri'+Ma* /11$e7enin(s *$e&rem s*a*es *$a* a linear *,&-*erminal circui* independen* s&urces can be

replaced by an eui7alen* circui* c&nsis*in &' a 7&l*ae s&urce V $ in series ,i*$ a resis*&r



R$ ,$ere V $ is *$e &pen-circui* 7&l*ae a* *$e *erminals and R$ is *$e inpu* &r eui7alen*

resis*ance a* *$e *erminals ,$en *$e independen* s&urces are *urned &''.

;. Ca'&'ate t!e &rret t!r"&5! ;/< a 1//< re%i%t"r% i t!e ir&it %!"( e'"(.

),&e+,&'* //0

6. C"4ert t!e &rret %"&re% it" 4"'ta5e %"&re% i t!e ir&it %!"( e'"(.)N"4+De /1/

>. State 8a7i8&8 9"(er tra%#er t!e"re8 #"r D.C. ir&it%. State t!e e79re%%i" #"rt!e 8a7i8&8 9"(er )N"4+De /1/@ ,&e /1/@ a Ma*+,&e /13In an ac*i7e ne*,&r MaHimum p&,er is *rans'erred *& *$e l&ad ,$en *$e l&ad resis*ance

euals *$e $e7enin resis*ance as seen 'r&m *$e l&ad R L R8.

. Fi t!e e&i4a'et &rret %"&re #"r t!e ir&it %!"( i #i5&re.

),&e /1/



0. Tra%#"r8 t!e ir&it %!"( e'"(@ #r"8 t" Y. )A9ri'+Ma* /11

1/. Fi t!e e&i4a'et &rret %"&re #"r a 4"'ta5e %"&re "# 1// 2 (it! re%i%tae "# <. )Ma*+,&e /1

11. State Rei9r"it* t!e"re8. )Ma*+,&e /1"ecipr&ci*y *$e&rem s*a*es *$a* in any linear ne*,&r $a7in linear bila*eral lumped

elemen*s $a7in a 7&l*ae s&urce 7&l*s in a branc$ i7es *$e curren* I in an&*$er

branc$. $e ra*i& &' 7&l*ae *& curren* remains c&ns*an* ,$en *$e p&si*i&n &' and I are

in*erc$aned.

1. State t!e 4"'ta5e i4i%i" 9rii9'e #"r t(" re%i%t"r% i %erie% a t!e &rreti4i%i" 9rii9'e #"r t(" re%i%t"r% i 9ara''e'. )Ma*+,&e /13



PART B

1. Fi t!e T!e4ei$% e&i4a'et ir&it at )a@ . )Ma*+,&e //0


. F"r t!e ir&it %!"( i Fi5@ #i t!e &rret #'"(i5 t!r"&5! t!e 1/ < re%i%t"r.)Ma*+,&e //0

A%J "e'er pr&blem 2.D.10 Pae.=&.2-26 in )ircui* $e&ry by .A. C A.. Bas$i.

3. State a 9r"4e t!e Ma7i8&8 P"(er Tra%#er t!e"re8 #"r a AC ir&it. ),&e+,&'*

//0

A%J "e'er sec*i&n 2.F Pae.=&.2-F2 in )ircui* $e&ry by .A. C A.. Bas$i.

:. Fi t!e T!e4ei% e&i4a'et ir&it #"r t!e et("r 5i4e e'"(. ),&e+,&'* //0


;. Fi R TH ar"%% t!e ter8ia'% A a B #"r t!e ir&it %!"( e'"(. ),&e+,&'* //0




6. Otai t!e &rret i ea! re%i%t"r i Fi5@ &%i5 et("r re&ti" 8et!"%.)N"4+De //0

A%J "e'er pr&blem 2.2.? Pae.=&.2-6 in )ircui* $e&ry by .A. C A.. Bas$i.

>. I t!e et("r %!"( i Fi5@ eter8ie t!e C&rret I. )N"4+De //0

A%J "e'er pr&blem 2.D.6 Pae.=&.2-2E in )ircui* $e&ry by .A. C A.. Bas$i.

. U%i5 t!e 9rii9'e "# %&9er9"%iti"@ a'&'ate t!e C&rret I i t!e et("r %!"( iFi5. )N"4+De //0

A%J "e'er pr&blem 2.5.F Pae.=&.2-DD in )ircui* $e&ry by .A. C A.. Bas$i.



0. I t!e ir&it %!"( i #i5&re@ #i

)i t!e e&i4a'et re%i%tae et(ee P a .

)ii t!e t"ta' &rret #r"8 t!e :/2 %"&re.

)iii t!e &rret t!r"&5! t!e 1< re%i%t"r. ),&e /1/


1/. I t!e #"''"(i5 ir&it %!"( i #i5&re@ )i #i t!e &rret t!r"&5! ;< re%i%t"r *T!e4ei$% t!e"re8. ),&e /1/

A%J "e'er pr&blem 2.6.E Pae.=&.2-62 in )ircui* $e&ry by .A. C A.. Bas$i.

11. Fi t!e 4a'&e "# R L at (!i! 8a7i8&8 9"(er i% tra%#erre t" R L a !ee t!e8a7i8&8 9"(er tra%#erre t" R L i t!e ir&it %!"( i #i5&re. ),&e /1/

A%J "e'er pr&blem 2.F.5 Pae.=&.2-@0 in )ircui* $e&ry by .A. C A.. Bas$i.

1. U%e %"&re tra%#"r8ati" t" #i I/ i t!e ir&it %!"( e'"(. )A9ri'+Ma* /11



A%J "e'er pr&blem 2.?.E Pae.=&.2-1? in )ircui* $e&ry by .A. C A.. Bas$i.

13. U%e t!e te!i&e "# -Y "4er%i" t" #i t!e e&i4a'et re%i%tae et(eeter8ia'% A-B "# t!e ir&it %!"( e'"(. )A9ri'+Ma* /11

A%J "e'er pr&blem 2.D.F Pae.=&.2-2F in )ircui* $e&ry by .A. C A.. Bas$i.

1:. Deter8ie t!e 4"'ta5e ar"%% /Q re%i%tae i t!e ir&it %!"( e'"(@ &%i5S&9er9"%iti" t!e"re8. )A9ri'+Ma* /11

A%J "e'er pr&blem 2.5.6 Pae.=&.2-D1 in )ircui* $e&ry by .A. C A.. Bas$i.

1;. Fi t!e 4"'ta5e r"9 ar"%% 1Q re%i%tae &%i5 N"rt"$% t!e"re8 #"r t!e ir&it%!"( e'"(. )A9ri'+Ma* /11



A%J "e'er pr&blem 2.E.6 Pae.=&.2-E6 in )ircui* $e&ry by .A. C A.. Bas$i.

16. C"4ert t!e et("r %!"( e'"( it" a -"ete e&i4a'et ir&it. )Ma*+,&e/1

A%J "e'er pr&blem 2.D.E Pae.=&.2-2F in )ircui* $e&ry by .A. C A.. Bas$i.

1>. Ca'&'ate t!e &rret t!r"&5! t!e < re%i%t"r i t!e ir&it %!"( e'"( &%i5%&9er9"%iti" t!e"re8. )Ma*+,&e /1

A%J "e'er pr&blem 2.5.E Pae.=&.2-D? in )ircui* $e&ry by .A. C A.. Bas$i.

1. Ca'&'ate t!e &rret t!r"&5! t!e < re%i%t"r i t!e ir&it %!"( e'"( &%i5T!e4ei% t!e"re8. )Ma*+,&e /1



A%J "e'er pr&blem 2.6.F Pae.=&.2-6? in )ircui* $e&ry by .A. C A.. Bas$i.

10. U%e t!e %&9er9"%iti" t!e"re8 t" #i t!e &rret t!r"&5! :< re%i%t"r i t!e ir&it%!"( i Fi5.

A%J "e'er pr&blem 2.5.2 Pae.=&.2-?6 in )ircui* $e&ry by .A. C A.. Bas$i.

/. E79'ai t!e %"&re tra%#"r8ati" te!i&e. )Ma*+,&e /13

A%J "e'er sec*i&n 2.? Pae.=&.2-E in )ircui* $e&ry by .A. C A.. Bas$i.

1. Deri4e e79re%%i" #"r %tar "ete re%i%tae% i ter8% "# e'ta "etere%i%tae%. )Ma*+,&e /13

A%J "e'er sec*i&n 2.D.1 Pae.=&.2-1E in )ircui* $e&ry by .A. C A.. Bas$i.

. Fi t!e &rret t!r"&5! ra! a- "# t!e et("r %!"( i #i5&re &%i5T!e4ei% t!e"re8. )Ma*+,&e /13

A%J "e'er pr&blem 2.6.@ Pae.=&.2-6D in )ircui* $e&ry by .A. C A.. Bas$i.



UNIT-IIIRESONANCE AND COUPLED CIRCUITS

PART A

1. De#ie Ba(it!. )Ma*+,&e //0@ Ma*+,&e /13Band,id*$ is de'ined as *$e di''erence in 'reuencies be*,een upper $al'-p&,er

'reuency ' 2 and l&,er $al'-p&,er 'reuency ' 1. Band,id*$ ' 2 - ' 1

. De#ie &a'it* #at"r ) #at"r "# a "i'. )Ma*+,&e //0@ ,&e+,&'* //0@ N"4+De//0$e uali*y 'ac*&r is *$e ra*i& &' *$e reac*i7e p&,er in *$e induc*&r &r capaci*&r *& *$e

*rue p&,er in *$e resis*ance in series ,i*$ *$e c&il &r capaci*&r.

uali*y 'ac*&r &' a res&nan* circui* can als& be de'ined as *$e ra*i& &' i*s res&nan*'reuency *& i*s band,id*$.



3. rite t!e "iti" #"r re%"ae i %erie% RLC@ ir&it. ),&e+,&'* //0

•

"es&nance is a c&ndi*i&n in any RLC

circui* in ,$ic$ *$e capaci*i7e and induc*i7ereac*ances are eual in mani*ude

• $ere'&re *$e circui* bec&mes purely resis*i7e.

• $e 7&l*ae and curren* a* *$e ne*,&r inpu* *erminals are in p$ase. $e 7&l*ae

2 s and *$e curren* I are in p$ase s& *$a* *$e p&,er 'ac*&r is uni*y.

:. A "i' "# re%i%tae < a i&tae "# /./1H i% "ete i %erie% (it! aa9ait"r C. I# 8a7i8&8 &rret "&r% at ;H #i t!e 4a'&e "# C. ),&e+,&'*//0

;. !at i% "-e##iiet "# "&9'i5 ),&e+,&'* //0@ N"4+De //0$e c&-e''icien* &' c&uplin % is de'ined as *$e am&un* &' c&uplin be*,een *,&

induc*i7ely c&upled c&ils. $e c&uplin c&e''icien* % is a measure &' *$e mane*ic

c&uplin be*,een *,& c&ils.

)&-e''icien* &' c&uplin %

6. I a %erie% RLC ir&it@ i# t!e 4a'&e "# L a C are 1// H a /.1 F re%9eti4e'*@#i t!e re%"ae #re&e* i H. ),&e /1/

>. I a "&9'e ir&it !a4i5 t(" "i'%@ t!e 4a'&e "# L1 , L2 a K are ; 8H@ 1/ 8H a/. re%9eti4e'*@ (!ere K i% t!e "e##iiet "# "&9'i5. Fi t!e 8&t&a' i&tae

et(ee t!e t(" "i'%. ),&e /1/



. !e " *"& %a* t!at a 5i4e AC ir&it is at re%"ae )A9ri'+Ma* /11"es&nance is a c&ndi*i&n in any RLC circui* in ,$ic$ *$e capaci*i7e and induc*i7e

reac*ances are eual in mani*ude *$ere by resul*in in purely resis*i7e impedance. $usa ne*,&r is in res&nance &r res&nan* ,$en *$e 7&l*ae and curren* a* *$e ne*,&r inpu*

*erminals are in p$ase. $e 7&l*ae 2 s and *$e curren* I are in p$ase s& *$a* *$e p&,er

'ac*&r is uni*y.

0. T(" i&ti4e'* "&9'e "i'% !a4e %e'# i&tae% L1 = ;/ 8H a L = // 8H. I#t!e "e##iiet "# "&9'i5 is /.;@ "89&te t!e 4a'&e "# 8&t&a' i&tae et(eet!e "i'%. )A9ri'+Ma* /11

1/. Deter8ie t!e &a'it* #at"r "# a "i' #"r t!e %erie% ir&it "%i%ti5 "# R = 1/ Q@L = /.1 H a C = 1/ F. )A9ri'+Ma* /11

11. De#ie re%"at et("r. )Ma*+,&e /1A res&nan* circui* is de'ined as *$e circui* c&nsis*in &' " + C ) elemen*s c&nnec*ed

ei*$er in series &r parallel manner ,$ic$ eH$ibi*s *$e res&nance e''ec* a* cer*ain

'reuency called as res&nance 'reuency.

1. State D"t r&'e #"r "&9'e ir&it%. )Ma*+,&e /1



• I' b&*$ curren*s en*er *$e d&**ed ends &' *$e c&upled c&il *$en M and + ,ill $a7e

same sin.

• I' b&*$ curren*s lea7e *$e d&**ed ends &' *$e c&upled c&il *$en M and + ,ill $a7e

same sin.

• I' &ne curren* en*er a d&**ed end and *$e &*$er an un-d&**ed end *$e sins &' *$e M

*erms ,ill be &pp&si*e *& *$e sins &' *$e + *erms.

13. Gi4e t!e a99'iati"% "# t&e ir&it%. )Ma*+,&e /13

• uned circui*s are used in "J circui* in radi& recei7ers '&r &b*ainin maHimum

p&,er *rans'er *& *$e l&ad.

• uned circui*s are used in c&mmunica*i&ns ne*,&rs.

PART B

1. F"r t!e 9ara''e' ir&it %!"( i Fi5@ #i t!e Re%"ae #re&e*@ f . )Ma*+,&e//0@ Ma*+,&e /13

A%J "e'er sec*i&n ?.E.1 Pae.=&.?-?1 in )ircui* $e&ry by .A. C A.. Bas$i.

. E79'ai t!e %i5'e t&e a "&'e t&e ir&it. )Ma*+,&e //0

A%J "e'er sec*i&n D.1? Pae.=&.D-D5 in )ircui* $e&ry by .A. C A.. Bas$i.

3. Deri4e t!e #"r8&'a #"r 8&t&a' i&tae i ter8% "# "e##iiet "# "&9'i5 a %e'#i&tae. )Ma*+,&e //0@ Ma*+,&e /13A%J "e'er sec*i&n D.6 Pae.=&.D-10 in )ircui* $e&ry by .A. C A.. Bas$i.

:. "&9'e "i'% (it! %e'# i&tae% L1=/. H a L=/. H !a4e a "&9'i5



"e##iiet "# /.6. C"i' !a% ;// t&r%@ i# t!e &rret i C"i' 1 i% i 1)t=1/%i //t @eter8ie t!e 4"'ta5e at C"i' a 8a7i8&8 #'&7 %et &9 * t!e C"i' 1. ),&e+,&'*//0

A%J "e'er class n&*es.

;. Deri4e t!e Re%"ae #re&e* a Ba(it! #"r a R-L-C 9ara''e' ir&it.),&e+,&'* //0

A%J "e'er sec*i&n ?.E C ?.@ Pae.=&.?-2E in )ircui* $e&ry by .A. C A.. Bas$i.

6. A "i' "# re%i%tae :/< a i&tae /.>; H #"r8% 9art "# a %erie% ir&it #"r(!i! t!e re%"at #re&e* i% ;; H@ I# t!e %&99'* 4"'ta5e i% ;/ 2@ ;/ H #i@it!e 'ie &rret ii 9"(er #at"r iii4"'ta5e ar"%% t!e "i'. ),&e+,&'* //0

A%J "e'er class n&*es.

>. F"r a t("ra! 9ara''e' ir&it R L= 1; <@ R C = 3/ <@ C = 3/ <@ E = 1/ 2 a f

= 6/ H. F"r t!e "iti" "# re%"ae@ a'&'ate )i t!e t(" 4a'&e% "# L a )ii t!et(" 4a'&e% "# t"ta' &rret. )N"4+De //0

A%J "e'er pr&blem ?.E.? Pae.=&.?-?? in )ircui* $e&ry by .A. C A.. Bas$i.

. Ca'&'ate t!e 4"'ta5e 2 #"r t!e "&9'e ir&it %!"( i Fi5. Re9eat (it! t!e 9"'arit*"# "e "i' re4er%e. )N"4+De //0

A%J "e'er pr&blem D.E.@ Pae.=&.D-2? in )ircui* $e&ry by .A. C A.. Bas$i.

0. A %erie% RLC ir&it (it! R =1/<@ L = 1/ 8H a C = 1F !a% a a99'ie 4"'ta5e "# // 2 at re%"ae #re&e*. Ca'&'ate t!e re%"at #re&e*@ t!e &rret i t!eir&it a t!e 4"'ta5e ar"%% t!e e'e8et% at re%"ae. Fi a'%" t!e &a'it* #at"ra a (it! #"r t!e ir&it. ),&e /1/

A%J "e'er pr&blem ?.5.? Pae.=&.?-2? in )ircui* $e&ry by .A. C A.. Bas$i.

1/. I t!e ir&it %!"( i #i5&re@ #i t!e 4a'&e "# I 1 a I 2 a a'%" t!e rea' 9"(er%&99'ie * ea! %"&re. ),&e /1/



A%J "e'er pr&blem D.E.F Pae.=&.D-22 in )ircui* $e&ry by .A. C A.. Bas$i.

11. F"r t!e ta ir&it %!"( e'"(@ #i t!e re%"ae #re&e*@ f r . )A9ri'+Ma*/11

A%J "e'er sec*i&n ?.E Pae.=&.?-2E in )ircui* $e&ry by .A. C A.. Bas$i.

1. Deter8ie t!e &a'it* #at"r "# a "i' #"r t!e %erie% ir&it "%i%ti5 "# R = 1/ Q@L = /.1 H a C = 1/ F. Deri4e t!e #"r8&'a &%e. )A9ri'+Ma* /11

A%J "e'er pr&blem ?.D.5 Pae.=&.?-1E '&r i7en pr&blem.

A%J "e'er sec*i&n ?.? C ?.D.? Pae.=&.?-D C ?-F '&r *$e deri7a*i&n.

13. I t!e "&9'e ir&it %!"( e'"(@ #i t!e 4"'ta5e ar"%% ;Q re%i%t"r. )A9ri'+Ma*/11

A%J "e'er pr&blem D.E.@ Pae.=&.D-2? in )ircui* $e&ry by .A. C A.. Bas$i.

1:. Deri4e t!e e79re%%i"% #"r 8a7i8&8 "&t9&t 4"'ta5e a 8a7i8&8 a89'i#iati" "# a %i5'e t&e ir&it. )A9ri'+Ma* /11A%J "e'er sec*i&n D.1?.1 Pae.=&.D-D5 in )ircui* $e&ry by .A. C A.. Bas$i.



1;. T!e %i5a' 4"'ta5e i t!e ir&it %!"( e'"( i% e)t = /./1 %i ) 7 :;; 7 1/ 3t 2.!at %!"&' e t!e %i5a' #re&e* At t!i% "iti"@ #i t!e 4a'&e% "# I@ 2C@ a a(it! "# t!e ir&it. )Ma*+,&e /1

A%J "e'er pr&blem ?.5.D Pae.=&.?-2? in )ircui* $e&ry by .A. C A.. Bas$i.

16. )R L/ < a )/-1/ < are "ete i 9ara''e'. Deter8ie t!e 4a'&e "# R L #"rre%"ae. )Ma*+,&e /1

A%J "e'er pr&blem ?.E.F Pae.=&.?-?F in )ircui* $e&ry by .A. C A.. Bas$i.

1>. C"%ier t!e %i5'e t&e ir&it %!"( e'"(. Deter8ie )1 t!e re%"at

#re&e* a ) t!e "&t9&t 4"'ta5e at re%"ae. A%%&8e R SVV@ L1 a K=/.0.)Ma*+,&e /1@ Ma*+,&e /13

A%J "e'er pr&blem D.1?.1 Pae.=&.D-5D in )ircui* $e&ry by .A. C A.. Bas$i.

1. A %erie% ir&it (it! R = 1/ <@ L = /.1 H a C = ;/ F !a% a a99'ie 4"'ta5e2= ;/ 2 (it! a 4aria'e #re&e*. Fi )1 t!e re%"at #re&e*@ ) t!e 4a'&e "# #re&e* at (!i! 8a7i8&8 4"'ta5e "&r% ar"%% i&t"r@ )3 t!e 4a'&e "# #re&e* at (!i! 8a7i8&8 4"'ta5e "&r% ar"%% a9ait"r. ): t!e &a'it* #at"r"# t!e "i'. Ma*+,&e /13

A%J "e'er pr&blem ?.D.? Pae.=&.D-5D in )ircui* $e&ry by .A. C A.. Bas$i.



UNIT-I2TRANSIENT RESPONSE FOR DC CIRCUITS

PART A

1. Fi t!e La9'ae tra%#"r8 "# x(t)= u(t) + δ(t). )Ma*+,&e //0

. rite t!e ite5r"-i##eretia' e&ati" "# R-L-C %erie% ir&it (it! %&99'* 4"'ta5e@ E.

)Ma*+,&e //0



3. rite t!e "iti" #"r ritia' a89i5 "# %erie% RLC ir&it ),&e +,&'* //0@,&e /1/J&r cri*ical dampin &' series "+) circui* *$e r&&*s &' *$e i* eua*i&n mus* be eual

real and nea*i7e.

i.e. )&ndi*i&n '&r )ri*ical Gampin

:. !at i% Da89i5 rati" i tra%iet aa'*%i% ),&e +,&'* //0

Gampin ra*i& is de'ined as *$e ra*i& &' ac*ual resis*ance *& *$e cri*ical resis*ance. I* isden&*ed as W.

W

;. H"( "e% a a9ait"r at at t = / a at t = X. ),&e +,&'* //0

A* *ime * 0 sec a capaci*&r ac*s as a s$&r* circui*.

A* *ime * K sec a capaci*&r ac*s as an &pen circui*.

6. De#ie ti8e-"%tat "# a tra%iet re%9"%e. ),&e +,&'* //0@ N"4+De //0@A9ri'+Ma* /11

In a "+ series circui* *$e *ime *aen '&r *$e curren* *& reac$ 6?L &' i*s 'inal

7alue is called as &ne *ime c&ns*an* . 8ere .

In a ") series circui* *$e *ime *aen '&r *$e curren* *& decay ?EL &' i*s 'inal

7alue is called as &ne *ime c&ns*an* . 8ere ").

>. I a %erie% RLC ir&it@ L = H@ a C = ;F. Deter8ie t!e 4a'&e "# R t" 5i4eritia' a89i5. )N"4+De //0



. A %erie% RL ir&it (it! R = 1// < a L = /H !a% a 4"'ta5e "# //2 a99'iet!r"&5! a %(it! at t =/. A%%&8i5 t!e iitia' &rret t!r"&5! t!e i&t"r at t =/ i%

er"@ #i t!e &rret at t =/.; %e. ),&e /1/

0. A "i' !a4i5 a re%i%tae "# 1/ < a i&tae "# ;/ 8H i% "ete t" 1/ 4"'t%@1/ H 9"(er %&99'*. Ca'&'ate t!e i89eae. )A9ri'+Ma* /11

1/. Set! t!e tra%iet &rret i (t) 4% t 5ra9! #"r a %erie% RL ir&it. )Ma*+,&e /1

11. Fi t!e ti8e "%tat "# RL ir&it !a4i5 R=1/< a L=/.18H. )Ma*+,&e /13



1. A %erie% ir&it !a% R=1/<@ L=H. !at 4a'&e "# a9aitae (i'' 8ae t!e ir&itritia''* a89e )Ma*+,&e /13

PART B

1. A %erie% ir&it "%i%t% "# R-C i %erie% (it! %(it! a %&99'* 4"'ta5e E@ t!ea9ait"r !a% iitia' !ar5e EO. Fi t!e tra%iet 4"'ta5e V C (t) (!e t!e %(it! i%'"%e at t=0. )Ma*+,&e //0

A%J "e'er sec*i&n 6.@ Pae.=&.6-20 in )ircui* $e&ry by .A. C A.. Bas$i.

. A %i&%"ia' 4"'ta5e "# #re&e* ; H i% "ete i %erie% (it! %(it! a R =1/ < a L = /.1 H. Ca'&'ate t!e tra%iet &rret i )t . )Ma*+,&e //0

A%J "e'er pr&blem 6.1D.@ Pae.=&.6-?@ in )ircui* $e&ry by .A. C A.. Bas$i.

3. I t!e ir&it %!"( e'"( t!e %(it! S i% i 9"%iti" 1 #"r a '"5 ti8e a r"&5!t t"9"%iti" ti8e at t=/. Deter8ie t!e ir&it &rret. ),&e +,&'* //0


:. I t!e %erie% ir&it %!"( i Fi5. t!e %(it! i% '"%e " 9"%iti" 1 at t = /. At t = 18i''i %e"@ t!e %(it! i% 8"4e t" 9"%iti" . Otai t!e e&ati"% #"r t!e &rreti "t! iter4a'% a ra( t!e tra%iet &rret &r4e. )N"4+De //0




;. A %erie% RC ir&it (it! R = 1// < a C = ; F i% %&99'ie (it! a %"&re "# //%i );// t 2. Fi t!e &rret i t!e ir&it. A%%&8e iitia' !ar5e " t!ea9ait"r i% er". )N"4+De //0

A%J "e'er pr&blem 6.1D.5 Pae.=&.6-?5 in )ircui* $e&ry by .A. C A.. Bas$i.

6. I t!e ir&it %!"( i #i5&re@ t!e %(it! S i% '"%e at ti8e t = / i 9"%iti" 1 a!a5e "4er t" 9"%iti" a#ter "e 8i''i%e". Fi t!e ti8e at (!i! t!e &rreti% er" a re4er%i5 it% ireti". A%%&8e t!at t!e !a5e"4er "# %(it! #r"89"%iti" 1 t" tae% 9'ae i er" ti8e. ),&e /1/


>. I t!e ir&it %!"( i #i5&re@ #i t!e e79re%%i" #"r &rret i# t!e %(it! i% '"%e att = / a t!e 4a'&e "# &rret at t = 1 8i''i%e". A%%&8e iitia' !ar5e " t!ea9ait"r i% er". ),&e /1/

A%J "e'er pr&blem 6.1D.5 Pae.=&.6-?5 in )ircui* $e&ry by .A. C A.. Bas$i.

. U%i5 La9'ae tra%#"r8@ "tai t!e e79re%%i" #"r i 1 a i 2 i t!e ir&it %!"(e'"(@ (!e 4"'ta5e %"&re i% a99'ie %&e'*. A%%&8e t!at t!e iitia' eer5*%t"re i t!e ir&it i% er". )A9ri'+Ma* /11



A%J "e'er pr&blem 6.1D.6 Pae.=&.6-?E in )ircui* $e&ry by .A. C A.. Bas$i.

0. I t !e ir&it %!"( e'"(@ t!e e79re%%i" #"r t!e tra%iet &rret. T!e iitia'&rret i% a% %!"( i t!e 5&re. )A9ri'+Ma* /11


1/. Deri4e t!e e79re%%i" #"r t!e "89'ete %"'&ti" "# t !e &rret re%9"%e "# RC %erie%ir&it (it! a e7itati" "# Vcos(ωt + . BrieZ* e79'ai t!e %i5iae "# 9!a%ea5'e i t !e %"'&ti". )A9ri'+Ma* /11


11. Deri4e t!e tra%iet re%9"%e "# %erie% R-L-C ir&it@ (it! DC i9&t &%i5 La9'aetra%#"r8. )Ma*+,&e /1

A%J "e'er sec*i&n 6.10 Pae.=&.6-21 in )ircui* $e&ry by .A. C A.. Bas$i.

1. Deri4e t!e %te9 re%9"%e "# RL a RC ir&it%. C"89are t!eir 9er#"r8ae%.

)Ma*+,&e /13A%J "e'er sec*i&n 6.F C 6.@ Pae.=&.6-1F in )ircui* $e&ry by .A. C A.. Bas$i.

UNIT - 2THREE PHASE CIRCUITS

PART A

1. Ca'&'ate t!e 9"(er #at"r i# V (t) = V ! si" ( t # $%&) a I (t) = I ! si" ( t # 1'%&).

)Ma*+,&e //0



. !at are t!e a4ata5e% "# 3-9!a%e %*%te8 "4er 1-9!a%e %*%te8 )Ma*+,&e //0 $e &u*pu* &' *$e ?N sys*em is $i$er *$an *$e 1N sys*em.

J&r *ransmissi&n and dis*ribu*i&n &' elec*rical p&,er ?N sys*em is m&re

ec&n&mical *$an a 1N sys*em.

)rea*i&n &' "&*a*in Mane*ic Jield "MJ ,i*$ s*a*i&nary c&ils is p&ssible

&nly in ?N ac sys*em.

?N supply sys*em can be used as ? sinle-p$ase ac sys*ems.

3. Dra( t!e 9!a%"r ia5ra8 "# 9!a%e a 'ie 4"'ta5e% a &rret% i a e'ta"ete a'ae '"a. ),&e +,&'* //0

:. rite t!e e79re%%i" #"r 9"(er #at"r i a'ae t!ree-9!a%e ir&it. ),&e +,&'*//0

;. A 3-9!a%e :// 2"'t% %&99'* i% 5i4e t" a a'ae %tar "ete '"a "# i89eae6 "!8% i ea! ra!. Fi t!e 'ie &rret. )N"4+De //0



6. Li%t "&t t!e 8et!"% "# 9"(er 8ea%&re8et i t!ree 9!a%e a'ae ir&it%.)N"4+De //0

1. >ne Oa**me*er me*$&d.

2. ,& Oa**me*er me*$&d.

?. $ree Oa**me*er me*$&d.

>. I t!e ir&it %!"( i #i5&re@ #i t!e r8% 4a'&e "# 'ie &rret a 9!a%e 4"'ta5e.),&e /1/

. I t!e ir&it %!"( i #i5&re@ #i t!e t"ta' 9"(er "%&8e * t!e 3[ '"a. ),&e/1/

0. I a t!ree-9!a%e a'ae e'ta %*%te8@ t!e 4"'ta5e ar"%% R a Y i% ://\/ 2. !at(i'' e t !e 4"'ta5e ar"%% Y a B A%%&8e RYB 9!a%e %e&ee. )A9ri'+Ma* /11

1/. Ca'&'ate t!e 9"(er #at"r i# (t) = V ! si" ( t) a i (t) = I ! si" ( t # $%&).

)A9ri'+Ma* /11

11. A 3-9!a%e ::/2 %&99'* i% 5i4e t" a a'ae %tar "ete '"a "# i89eae )6- < i ea! ra!. Fi t!e 8a5it&e "# t!e 'ie &rret. )Ma*+,&e /1



1. De#ie 9"(er #at"r "# a ir&it. )Ma*+,&e /1P&,er 'ac*&r is de'ined as *$e c&sine &' *$e anle be*,een *$e applied 7&l*ae and

curren* 'r&m *$e supply. I* is als& de'ined as *$e ra*i& &' resis*ance *& *$e impedance.

P&,er 'ac*&r c&sN &r P&,er 'ac*&r

13. !at i% 9!a%e %e&ee "# 3-9!a%e %*%te8 )Ma*+,&e /13

$e seuence &rder in ,$ic$ *$e 7&l*aes in *$ree p$ases &' a ?N sys*em reac$ *$eir

maHimum p&si*i7e 7alues is called as p$ase seuence.

1:. A e'ta "ete '"a !a% )3/ :/ < i89eae 9er 9!a%e. Deter8ie t!e 9!a%e&rret i# it i% "ete t" a :1; 2@ 3-9!a%e@ ;/ H %&99'*. )Ma*+,&e /13

PART B

1. Pr"4e t!at #"r a'ae %&99'* a &a'ae '"a "# 3-9!a%e %*%te8@ t(" (att8eter% are %&##iiet t" 8ea%&re 9"(er. )Ma*+,&e //0@ A9ri'+Ma* /11

A%J "e'er sec*i&n F.11 Pae.=&.F-DF in )ircui* $e&ry by .A. C A.. Bas$i.

. Deri4e t!e #"r8&'a #"r t"ta' 9"(er "%&8e i &a'ae Y "ete '"a.)Ma*+,&e //0

A%J "e'er sec*i&n F.F Pae.=&.F-?0 in )ircui* $e&ry by .A. C A.. Bas$i.

3. E79'ai a 8et!" t" eter8ie 9"(er #at"r i 3-9!a%e %*%te8. )Ma*+,&e //0

A%J "e'er sec*i&n F.12 Pae.=&.F.5Fin )ircui* $e&ry by .A. C A.. Bas$i.

:. A t!ree 9!a%e e'ta "ete '"a !a% a = )1///Q@ = )- 1// Q a a = )>/.>>/.> Q i% "ete t" a a'ae 3-9!a%e ://2 %&99'*. Deter8ie t!e

'ie &rret% Ia @ I a I. ),&e +,&'* //0

A%J "e'er pr&blem F.F.6 Pae.=&.F-D0 in )ircui* $e&ry by .A. C A.. Bas$i.

;. Deri4e t!e e79re%%i" #"r t!e t"ta' 9"(er i a 3 9!a%e a'ae ir&it &%i5 t("(att8eter%. )N"4+De //0

A%J "e'er sec*i&n F.11 Pae.=&.F-DF in )ircui* $e&ry by .A. C A.. Bas$i.

6. T!e 9"(er i9&t t" a /// 2@ ;/ H@ 3 9!a%e 8"t"r i% 8ea%&re * t(" (att8eter%

(!i! iiate 3// a 1// re%9eti4e'*. Ca'&'ate t!e i9&t 9"(er@ 9"(er#at"r a t!e 'ie &rret. )N"4+De //0

A%J "e'er pr&blem F.12.1 Pae.=&.F-5@ in )ircui* $e&ry by .A. C A.. Bas$i.



>. Deter8ie t!e 'ie &rret% a t!e t"ta' 9"(er #"r t!e &a'ae "ete'"a S!"( i #i5&re. A 3-9!a%e %&99'*@ (it! a e##eti4e 'ie 4"'ta5e "# :/ 2 i%5i4e t" t!e ir&it. )N"4+De //0

A%J "e'er pr&blem F.F.? Pae.=&.F-?E in )ircui* $e&ry by .A. C A.. Bas$i.

. T(" (att8eter% are "ete t" 8ea%&re t!e 9"(er i a 3@ 3 (ire a'ae '"a.Deter8ie t!e t"ta' 9"(er a 9"(er #at"r i# t!e t(" (att8eter% rea )1 1/// (ea!@ "t! 9"%iti4e ) 1/// ( ea! "# "99"%ite %i5. ),&e /1/

A%J "e'er pr&blem F.1?.2 Pae.=&.F-6? in )ircui* $e&ry by .A. C A.. Bas$i.

0. Deter8ie t!e 'ie &rret% #"r t!e &a'ae e'ta "ete '"a %!"( i #i5&re.P!a%e %e&ee i% RYB. ),&e /1/

A%J "e'er pr&blem F.F.F Pae.=&.F-?@ in )ircui* $e&ry by .A. C A.. Bas$i.

1/. A &a'ae %tar-"ete '"a i% %&99'ie #r"8 3[ @ ::/V @ %*88etria' %*%te8.Deter8ie t!e 'ie &rret% a t!e 9"(er i9&t t" t!e ir&it %!"( i #i5&re.A%%&8e RYB %e&ee. Tae 9!a%e 4"'ta5e V R* a% re#eree i t!e %&99'* %ie.),&e /1/



A%J "e'er pr&blem F.F.2 Pae.=&.F-?6 in )ircui* $e&ry by .A. C A.. Bas$i.

11. A a'ae -"ete '"a !a% "e 9!a%e &rret IBC = \-0/] A. Fi t!e "t!er9!a%e &rret% a t!e t!ree 'ie &rret% i# t!e %*%te8 i% a ABC %*%te8. I# t!e 'ie4"'ta5e i% 1// 2@ (!at i% t!e '"a i89eae )A9ri'+Ma* /11

A%J "e'er pr&blem F.E.5 Pae.=&.F-25 in )ircui* $e&ry by .A. C A.. Bas$i.1. T!e 9"(er "%&8e i a t!ree 9!a%e a'ae %tar "ete '"a i% at a

9"(er #at"r "# /. 'a55i5. T!e %&99'* 4"'ta5e i% :// 2@ ;/ H. Ca'&'ate t!ere%i%tae a reatae "# ea! 9!a%e. )A9ri'+Ma* /11

A%J "e'er pr&blem F.6.D Pae.=&.F-16 in )ircui* $e&ry by .A. C A.. Bas$i.

13. A 3-9!a%e a'ae e'ta - "ete '"a "# ): < i% "ete ar"%% a ://2@ 3-9!a%e %&99'*. Deter8ie t!e 9!a%e &rret% a 'ie &rret%. A%%&8e t!e RYB9!a%e %e&ee. A'%" a'&'ate t!e 9"(er ra( * t!e '"a. )Ma*+,&e /1

A%J "e'er pr&blem F.6.1 Pae.=&.F-1? in )ircui* $e&ry by .A. C A.. Bas$i.

1:. Otai t!e reai5% "# t(" (att8eter% "ete t" a t!ree-9!a%e t!ree-(ire 1/2%*%te8 #eei5 a a'ae -"ete '"a (it! a '"a i89eae "# 1\3/ .A%%&8e eit!er 9!a%e %e&ee. Fi t!e 9!a%e 9"(er a "89are t!e t"ta' 9"(ert" t!e %&8 "# t!e (att8eter reai5%. )Ma*+,&e /1

A%J "e'er pr&blem F.11.6 Pae.=&.F-56 in )ircui* $e&ry by .A. C A.. Bas$i.

1;. T!e (att8eter 8et!" 9r"&e% (att8eter reai5% P1=1;6/ a P=1// (!e "ete t" a e'ta "ete '"a. I# t!e 'ie 4"'ta5e i% / 2@ a'&'ateJ )1t!e 9er-9!a%e a4era5e 9"(er ) t!e 9er 9!a%e reati4e 9"(er )3 t!e 9"(er #at"r@

a ): t!e 9!a%e i89eae. )Ma*+,&e /13A%J "e'er pr&blem F.12.2 Pae.=&.F-5@ in )ircui* $e&ry by .A. C A.. Bas$i.

16. A &a'ae %tar "ete '"a !a% a'ae 4"'ta5e% "# 1//2 a RYB 9!a%e%e&ee. Ca'&'ate t!e 'ie &rret% a t!e e&tra' &rret. TaeJ A = 1;<@B=)1/;<@ C=)6-<. )Ma*+,&e /13

A%J "e'er pr&blem F.F.10 Pae.=&.F-DD in )ircui* $e&ry by .A. C A.. Bas$i.

EE6201Circuit Theory Unit 1,2,3,4,5

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