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1.introduction to electrical circuits
1. t.rrnfouCuchon +o E[aetv i Ca> I C-r v cui ES
3 j' op*do,
l. tr ind *gro va,luo o€
A 1.0 L a,
? The ope.r&Eor ,ci
xl i Se ol i r c.ct-io n
A' qo deg(aas
C t6c, dgrees
Q '* o perahr
1Lq
@ ' whwo 'a1
9N
C, a) D, CZE
roLcrtes *he Voctor in
b3 L ] 6esuoc)
rb tz_o dogr eeg
D. -t2o dEree.s
opexa.h,
L
Calsoo c)
l
anf iclock/
2. t' Nhen -lhe. -lo*cul Ch"pn inru Cepa:ci+or iS doublad,
-th e **gy gLo red t_ _l 6rs p u c D
A fernlain5 fho Sarne t:Z iS halVe.d
c i."g dou bled
? N hen -|roc c_ha,19ee
.A Ele ch ic -P;srO
C ElacEra m(ynokc .ftlnco
D. a) ,,.^SnaLic $etcl "
Co iS +aa Cirecccrtanca { o pava'llot plafe capaocifur
rcith ory c--S clie. lacbric (orS in#guroC^)'afl. ha:lf
cf the enLire 3q a:3 Ehor,cn i n fi3c6 iE
'p+f ted ucith cL, ctialeclric of porrnitu-rvifJr€r,
ifte eo,-- ?re gS io n *t f +hQ- r6c,d + od C'^?&Ci*anca
i g
r ](ca-E)4
A -b(t+e)e) t'
ru
I[5 Co +€r
Car-L
€=U
D Q(" e)
4'aS SFo,cn n . P€ t)to) cu 16- yoSiS*ance iS Co hnacLe.do,.,c,yoSS av
Sourc0 +he"t har,S a) load tinp V+i =-tOo.-fhe Clrrent
*hrr;ugn rhe yosis*cnce is t] (eer4
4,Re.lo.Lion befi3een Vo l*a,04 q, curronb in R,t-,9 C
O, iS ?uatdrupled
ax o goPe,( ahodr-the,re eoolS t a)
L ] (svut'EsEi
ts . E[echrotno*r Va P<r cP-
Ca,)
+
Source V
3. 5'-The sup?lj Volta;ge l/l in diargrenD beloc iS t ]
A. 2t0v a rov
*he
and
C . 50V D.2-3oV
V o lta;94 ond c-ri YverL *, Ai
vo'r
i=G*.rA. -The civcri E iS t ]
B . Capa:cr*i va
D.i L coulc{ ba aty
-l-he #arl eh tutga Pasg}qg
tzaQ See and t= lo)'5oc
al +Ao a)coVe
6ucro69 a,
Currenb a'S
as tl
or igin
:fha Po i^ f boL.aoPn
is tl
oreui b
k- +ov +[+- -rov+- roovJ
v
6. r-n 0r eir cui L
b3 [ = Co+u D
A.:nd.u civa
c. RuS ie'+l ve
-l ' 4^t idoo I Vo l*a,ge Source rs co n neeLed'
Vori clcla resis+arCo "
*The Va,riahon of
@ 4o n ctro n o.c re E;ig* arrce i S 0 iven
A' ru Skatghl, tinE pocssiy *ru6tr -hhe
6. ar ractarg ulatt ryW bola,
C.&j parcaala,
D. i Y cou ld ba ary ol *he abovo
B'rha c.r.rrrent aL
^;iverr Po;nt in-o,-r cu*atn
rn
ty be g i von ar $rn clion op fi rne ou3
i(b) = -3+b
A llEc {b,?,rya,6c C.zqPJ,qc D.3aq'6c'
q' Nh en Gr Dc Sou rce ig 9ni Lched i n a'r PuYoU
'rndr;chvo
c.rrc-uiL *Fha clrrojrL (csrcnge i9 L ]
A, a6 enAo nen+i@ I ly { igirg C.t:rve
O CIn aqbPanen{ra l! dr.ryiry cutve
c m ebrallnv lina Pa,ssiqg -fhrogh 4ine origin
D.al .SEro$hL I ine opf-seh 4mtn, **he or€ i n '
4. lo. .Jrf
VC
{fie
-lhe Cj y cuj b o+ .$g, -the mry ni.krde of Vr_ a^d
a-)tQ ]votce +ha,b o.r Vq " QiVen +hab f=Eaz,
ind ucJ once o{ *ne coi I i s t ]
(:I,:"
"
'^
i L-"-t Po$i-erhnic
Vq
6tu
C
L
A V,l4rnH B . E"g H
Phause rc'itH '*he aPPlied Vot*aqe
+he apPliod tlol4a:ge
*ho app liad tl a|fco$a
|er& o( I^3 *ito rrP?tad tawe dcPadiry
vot| us o€ R.
vc
VL
c.3l,BrnH D. l"3g H
tl.-T-ht'e.O llroVitg ron -UPe VolLrnete,rs axe Connaete'd
OuE ,9 ho uon botor,o . Voltnneto/ t eaxli ng 3 N{8 V, Vr ard
Va ou€ indi caLad, TFla b{t acL ralation atAonE
--lhe Vott rnQtar rooodi^qs i S
U L I Go'D
A u=#"#
b. V= Vr+Va
C. V= VrVa
D. != Vr V'
lP"-hn'*yronL in*he RLc serieg ci rclib €ho^nL]
R o'orH lor{tr 6esnoer)
Aigrn
0, laa:dg
c laog6
D'mry
*ho
o i')
floo ios ( ooo t)
5. i'l lrrl Jt,e {guva Shouon beloo-, A ttAzand ,A3 G(a
idool ornrnote-rS. JLf A2 arcl Ag raard 4zl, arcl 64
Yr-gPoctivetge t*hat ig *ho yec.:din3 o.pA'?L_]
GE tr)
A IA B3A CqA
D, Canrr,oL be cc-lci-rlAtgd rcr'thoub
+he Voluqs e{ R and c
t4, I€ Jfio
o.f +he
electriCcul C'rrcuiE cf'{gCu) i3 6,n
CouPlod -te'n Kl Sg S*arn og {'gCO
l= too Cosl$b
=
tou) CouPl ed * arrto
A A, B @(o regig+ances and
a A, c @{e Y eg i g +of'ceg arrd
C ArB axe cnParcitorres or'd
D. ArC &ro capocitarreas orrd
Cr D CaParCi *aneeS
BrD eailo,rej*anceS
qD tngig*aneos
BrD YaSiS+an@S
l_ _ _ F _,
tb) Ele&icart E.qo varlerrb
egui varle t
-then t I
6qtsr-r$
I
I
l
t
t
t.
t
-
I
I
I
I
I
I
t
t
l
I
I
I
t
I
I
t
I
-t-
h?,
6. 16"=n*fre circuiL shorcn in Figurg iL iS dasired{o
h oug 0, Con 9 tanL d i rsct cu rren! iG) *hrough *he
i deol i nducqY L. -Tho nature of *ho Vol'{a6e
Bourco $e) m., u SE be t ] (qa- F)
iCL)
^ t . r-rl - ^^
A CongLonL Vo ltoge
g tinac'rlg inc,ve-o€i13 ol{a:go
$tb) L C an idea;l i rnPulSe
D . oqr Po n on*i ou ll9 i tr cr eoc 6i rr$
tri$ s L ] (.Qn-rE)
, &i ..-p, di oiCE) = Slnt* zF-^aE--t
rv/
&i --p di +ar1g)--ccsb
-dg'-oAE
r '-
. - Pr"
*a * -riCL) = cosb
'- cl"-' -- p, -d- -r-z,i(L) -- sin t
< --rt-i
d*
IN
dL
i -i -rh o c u;rr ont
r zou
toov
6oHz
in *he eiruiiL Ehot'on in -Pigura iS
t ]
+ aoov -
Vc,l{-ago
l€,,-The d,+{arprrLrol eq.uohon &, *he Cuttonb ict)
i n *he c'iY c-r-'i L o'f
iCr) ?a a H
A
tb
BooV
e
t)
5A
t0A
t5A
z5^.
7. f B -rhs -]e+al ?otco(
i n -lhe +g L)te)
d ias iPafed
is lKhl
i n *ng C;rcrrib, Sho^n
loA aA ir> pr
6c}aat@,
fho Vo t t tnoto,r, o..r crc SS -the I oard, r eaiclg g oo V.
-rhe Vcl:lua of Xr-iS
-1C,arf
-r$
lji A SerieS RLC Oveuit co^sisfrng c{R-toohns,
xL= ao chms and xc = 20 chfns i 3 co nnactqd
orcross or orc supplg o{ tooV 0^S)'-rha n'.t3niftrcte
end P h c^r 8o ang la G i+H vzferen co +o '9u??U VoHE)
of *ho voltarga c--cFDsS *he inclucLrva coil c-^(L
raS pec Ei v el5 f,-
-.
't-[:,,1r -)
t. tOoVrQoo it, loovr-Qoo
e 2ooVr-Qoo Lj. zoove Qoo
,-la -rn +0..€- Or cuiL Shct^:n in *ho g'von Sg, -fhe cutrenL
suppiod b3 -l4ro ginu Soidool cutronL Sourco a
is i 'i i A'agA {4 lA utsoA
i-;. rwL doLer mi na'ble -P'o
'r''
*he
dota; gi ven 'L
6AI
t R
t?4.
rl
Loa-,d
g00v
8. Pb' 3 r, "-l-ff,0
ph e.r to
rl i tpfl
arg le
*+
CifCr,i t-, +OoO ir r-rrur:lc V; [r*-$ Cl)
.
rls
S
ii^ffip :1-hpVpnin,g oegiVnrBnL o.fr-l, ei rCui L ope'rah11
ak L..-o= re ra,c{fg hcug loc=3'rt -16. Q
o rrncl
Za= A.8g_j 0,66-To- , AE +his &uq,gr0AQt *he
m,ini rnerl roaull za,bion of *hp -16oVo-nin'g
ir:npo-donco voitl ha,rp ftr L ] @nrr-oO
A r8€'r6fur rmc',l al Ciapauei*or anel &i1, inetucloy
b- fp Sls fur onrl ai n:'oauotor
C' rogigful and 0-n incloc+o/
D. eaf a.,cjfur anrJ &n in el'o eta/ '
t euPPtiad bJ
E.:rn -ffre- Qirton Cil'oliLr*fi4
in Arn q tS
n
bNrE -rd_,
4he ba'L t
. - F -the -P,gurAr*fhe
I rg *he clrYonL
1r-R,
Vc,uluo o{ faS'tS.tc,r R
i n arn P€.raq , Th e
ie @t *flr4 urhe/e
Qovyenk
= i3--wr'e (fr-'E-lA
lO-
l1'3Pur]o J lC
Sootl
K-l'+
9. (
6' RoloLion pfu gq @ E, Ad rn i ttoncpcv)
lo -Tho Lerai vartenk ro3ig*orrca in ohrns in *ha
a-l- be c+ D.+6)+g
c;rcuiL shohrn is f ] @.pDcD
ES +5
AAr-
10. l" A1
olc R,
h{ h c^,E
the
(, Eg)i va,r lent eircr-riLS ,-rarrs-BrrnatronS 9 t tel,oorkr
Radr-rCliOn raCA ni oyuoS
f osi S+CInce 3 i n tho ci rcu i b in Fgura a{Q-
ohrng oa:cjn"-The Snitch i3 lnifi*lU open'
harDPa,nS -l-o -lhe larnp)S inLenSi! xrh0n
sr,,oiLch i3 close_d? L ]Garr)
on*ha Vo.u o
A i nC.f a-ageg b deeYeogeg
C. r orncl ng +h o Sorn e D . anSt',:ev doPend g
o+ R,
P' All -tho resigfances in tri$rxe axe lw s1.'c})'-the value
olc c-r-rvvenb'r i5 t]cgorr)
A.fa.l5
b. a x,5
c a-al5
D' Bq
l5
11. bu lbs op 4at4 and 6o l.t
NC.{agS *he rnajAs .-Fhan
t I Ga--D
A'fie bc'lbs +o3 6rtor Ccnst-,rn e tco hl
rl '..iAo bu I bS -log We( Co nS u nne- Eo N
- *fro 6o N bt,lb g tc,;rg bri6 Lzd
}. *fie- 4al"1 burtb g to rog brLg ntet
,-. For *he ci rcu; t Shouo n io FtS u ra, la_ c^?ecr*anca
rnaarsurocl balra€en Eprcninarls 6andy r,oiil bo
L ]Cea=D
A c.+* s cs+-+
Cc+ 3c.-L
D.3cc-+-9Cs
.;, -fN O rnCGncleSCOr,L t gt-rt
f cfi nq a,vO Co n n e Cted
-'/
-The Cl r r on t -lhn uq h
l/
e;rClib Shoeon in
lKo C
4ha BKn- rasts*e^ea- in -l-he
+g is []GorDI KO.
A,omA
B. lnA
C. RrnA
D.6rna,
ZKo-
lkn
12. 6. cc nsida a, dal tc- connecEion o.f resis bors and i ts
eq, oi Vculerrb gLa,,t Con necLi on 6JS ghorcn betorc.
fl & I I elernonLg c{ +he d e I ta- Co rrr"rs3!i6s1 a,re.
Sca:led N -ParcLor KrK)cr-the e-lernentg cg#re
CcvyogPcnclin9 SLay eeu'tVeulanL r":ilt be Scoled
r:g ar fa,cbt a{ L ] Gorti
R^ % Rp,
a,
A. K* B. K DJK/'t I
L,'
- K
-l' S;qU Ca?,ocrlovs of digfarent apa,otancos grcrtc,b
C+, Cq and C6 axa Oon neCtd i n Swol. q > 6) Ce)
C+ ea ) C6, ldhaf iS *he *ota:l Upa:ct*ance arlrnoeb
oetvatl +a L] €vrREsEi
ACr b c> cc+ D'
8. -Tho Ci r cu r b Shoon r n Fi$, iS enili Varle^b
u*o
**n
c+u
D. ar,"
Cnrc
'-lo ar toad
13. q ' Co n I idar -the flLc.t n otr,cor r:r Shorcn i n Frf rha
{o g S*an 6s b etn eon ter rni D ar I S A and B ro i*h
e oPen i-3 6 D, betnean ter rni na;ls 6 and C voi*h
A OPen ig I lo-e and bUi,naan Eer rni narls C and A
r,oi*h b ope^ i3 Q(>, -rhen
t ] (garE-o)
A Bq= *, %=2,"+e Rg:6O-
D 'Bq= 2-^>,Qaa= {>l Rc--fo-
C'RA= '3Nt RP5--30-e F 1= 4t>
1) Ra = 5{Yt R6-- Irr, Qg: IOM
I 0. A 'SEar Co nna chon i S haU jn3
B ei- Yogi A*oY ' -rhs eqil Varlenk
is [ ] (svunrsEi
a, I I equa) I Vcul uo- c+'
DelLa--' & r cu j - el ernenb
C ?,.G(v D' Br>
balon *ha *otalt irn?edanea
j+w A0+jo) BG*jo)
c @+j B) c.fr-+j ro)
A" Z?,cv b.*qv
ll. Foy *he circuit- Shodn
is [ _-| GsE)^Jzn,-
l?.:,-1166 lgnL bulbg axO
l2oV ba't E erg ' Dt'lh I
u ges 2cN o.+ Pcwa( '
+e 'the lr-ov source ,
ConnecLed in Series &erDgs ar
usos 4oN o{',Ponu afd {}r:tag
A{ bulb t ou lona ig Co n necbed
-lhpn i L rci ll ConSu^n f J.
(p+WENcO
C GON D. IBOTNIA. Qotnl B.BON
Eab
tv 44<v
14. f3.:tho +hroo
beto tc aro
-ha Varluo
impadoneas o+ on aic bridgo- shor,cn
Zt= P,oa [dr, z;- 4aot_gor, ze= ZaaEn-.
of zo$r *he beularrcod bviQge iS-L ]
@sD
A. Iaoltqaav b.raa@*
C . 6oo l={t D. 6 oo L-
reoo
-
14, A notuoovk] Cong iStS of SaVerao I indDClonoas connec{-d
in Po"rarllal,-T-he qqvi ValonE nclueto-neo ap+he
noLr.oorxy is €ivor. Ag L ] GPefNc)
A"the'8urn qF +he indiV iduarl rft)ctancas'
B.*ha recrPncal Af+he Surn op+he indi'v'rd'oa:l incUrctanccs
C.*he Surn ofthe ve1 proCltS of ind,Vidria'rl indrftancaS
D Jha racipCIC^ll o€ *he Sunn of yecr pnools oP individriert
indr:ctancoS.
l5.1906 YegigtorS Rr And 112 Sive Cornained yaS6*arrCe
0€ +,6v r^Chur rn SeriaS and ICV r^lhan in pa/@llel"
-Tha fesis+CIn cas ata- [ ] Cro$+u.cn"lc )
A' Ltu and Z.E,rv O. lo- and 3.50-
c, t, 6 rP or,'d $cv D 4CV arrcl a.6 (V
16' A Y- nOhaorn h6rs yogrstana-S al lOrv axth in -fuoo
oS i bg G,rrn5e r^chi la *hA *+fiird @(fr har8 tu raSisfanca
of llCI-,
=n tha Eq,t)i Var lenL A- nCIbo otKtr*he lonoo^Sb
Varl uO C o nE enon3 the -lhraa fa6i,9*orraze iS ----
(eA, r)
15. l-1 ,
tx i+h y Llwonc€ +o Fig I ,
tlea*he,f 24., l.oy Zb, nat
toh i ch o4 -the &iloo inq i e
J
zc2 (ao-rr*'scO
b lo +i:.6
c 20+j r5
B , 3o-a<o
D. lo+.t rE
{o zL,(o by
Vo,tue o,e R?
tl@sa
f 0f)- '?,orv
lB" Fo r +ho ClruiL Shoro n belo n, -lho curya,n t €lon i ng
*hvou€ h E tn- resi g hr , S ardj uS tecl
Vorging *ho Vartue c.F R. I^Jhaf ig.+ho
A, atu
lb 3rv
c 4J">
D, 6cr.
lq. h..llrat wg
*he i npub
+oR? [
*he su iba,[e ta
i rn ped dtca ,zi
I CcsD
-,29,
Valusg ftr z, and zrr'le rncvbe
,.,,, o.9 *he helaD CIQtecci'K e?uall
A R. anel t?
r. f}R clncl R
C 8R ond 2R
D 4R end 4R
lcY
16. "?,0
fn
-rhe
S to;
c
Find +ho
R,(., D i n
F9, Rau, R5 and
re SlStarr Co S
ConnecHon
6r
I?c ate La(>)lot>, lo(v fespectiVp{.
R,, R, € Re ln (> o{ a$ aqoivarlenL
ate t ] Go-rloQ
3rl
A 1,6 e8",5
b. 5 e fu,5'a5.
c, q
15 )%.5
D. a.5 t 6: B,(
Y - n otvtov k:,r s hor^r n j n -lha €g r-lhe Varlua c-g'
Atu Threo
in fig
Xr ond
Y e S isEancos o{ 6 ohrn each ate co nnecLod ars $hoon
Q rven b elo ro . -Thg LQo'rrla" I en b f oS iS*arrce. botneon
ohlo f-, + Ohnr a B Ohrn D lz ohrn
ig bc.tSed cn the ?linciPle a{ / ation o.F
-
L ] 6o*PDcD
5l' Kv t-
6cv 6rv
A Chwr ge- t.En@tqV auS 3 D Mo men-lu nn '
X1
l-)
1
17. o
7'3' For *he
Yao d lng
g i Verr boton ,*ha
@oW*niq
CrCui L 6hor.on in triq.'v
i n *ho &.rnrn eLw A
Qu
ALp b.a.ea c. o. tA D. o.zA.
P4. lZ Rep fAeigfurg c.{2, ,lea* oo6 edges +o -%rfD a) aJ|rf-,
-Tho Lq/ui Vau I an b taeiS*arrez €een bebwn 4ho -hno
diaf onar ll g o PPo€i ta Cornarg o4 *ho eobz. i S
-@ arr, Potytechnic)
A6. -Trd eJ Va ur ireg 04 €arne letth or,d Sarno esss
seelion atL connactad i n *he forrn op at crtbe
&6 Shoycn in -fu belofr. 4 *he resistanca o+
Aroch r^l i r@ i € R, *+tw, *he e.+feetT Ve rosiefance'
bokroaan P ond a/ rci tl be @r}fu*niQ
fh5J.
e
C 3R
+
D, tB
3
AR
18. 86":rn -l-hs civcuit
*he indueboy
belo
^
, *hs cuYvsnL +hrtt6h
Ga-D
-l_-A
l+J
A D, OA
R,6Sr*he CrrCl:it
laP
shoron in *9,
tho uon
is []
ro)
/-'r ^ .A
t+j
F^1' :E n *ha regisfov rtotucovro 3ho t'cn in S3',, a'll
YLESfor /o'luag aNL lo-r A' c-uvranb oS lA
p ougsos 4,o rn tel rni nal 1 A {o *e,rm i nal l B,
ous ghouon in -tho PiguYe, Coul ct-rIaLA *ho volfu#
I:e]btn oor tex''nina-r13 A and B F{'ng'rfou {'na5
'n:proib
*rro eg nn,n-Lr. c.f +hs &*q L ](qarr+$
tA
A
Bg. DotCIx rfi no i fp ro8istorrce
taP l{"v
"lA
*hs
+ 7-
"tQ
19. fuq" Ra ond R{ a,ra -ha inpub rasisfancas of OrcliES arS
Shor^rn betot"J"T.lg eircr,riEg eq"rtend ing'ni to13 in
*he diracLion Shotor). NhiCh ons o4'*hO Stal"rnentS
is rRuE? [ ] @arr)
flu furv acY furv P'r- a*
qA'.
-7
RB.
^ Ba,=Ra '4" RA=R5=o
. RA<R6 D RB= RA
' t-r Ra
1: Co nS iclol crJ S ta,r n otroc,f lc ouS Shodn in *he
-Pottorolng -P;g vvo.,
a,
rf *he yesiS'fctnce bzLwoan terrninarts borrolC uci'thrr.,'
oPQrt rg repra-Serrt teg Rar*he faSj$*anco 5qb,neen
C o.nd a/ uo ith b oPcin i 3 R.g crr'd -the raSrS'tan ee
botuoesn o" o.ncl b to i*h e oPen iS Rg,thon cLy'(arYQ-
Ra ., R. oncl Rc i n descencting ovdofl r'N t-,-f - i+i
,t. Rc,,Ra,, Ra
c Ro, ((l, Rc
b RB, RsrRA
D. RBrRnr Rc "
C
20. .;i. fhe qq/t)i Vorlent y aSiS*onca botneon *he ferrnrna,g
A ond B iS (> @are-ri
*1.: -rh *he ngboort< Shonn in *he g iven *g're, &r *he
Cuyvant {o be uu(c in Rur+ho Vtulua o.F R Shootd
bs o,Cli us tqd tu t j
lOcv
cu v renL
Q ivon
5n- A
b
c
D
in-
%cv
5cv
t0n-
33' -Tne
-the
RL
i Gn annpa/rA i n +le- sr)' rosistor
nqtvoorkr is (qarE-15)
lo
{,t
Pr>
of
a
6n- ln-
21. r:{ -rr1 *lha poy*iOn c{ cL, CrvCuit Sho6f).r i+ +9re
heaL gQ-no/&tad in 4r> ta1'tgtanea iS toCalorras
Felsoccnd+hQnhee.Lgane/o'tqdry+ht+r>
YASiSforrca, in ArlOriOS PQ)( SaConcl, 1S '---e;3'Iir -l+
,'-:," {-lo ti ,n*iy 9oc, vll zso V
Co nn ecLed i n Sa.ri aS
Lotc-,1 Potoa-/ oS cr1,
in Candescent tarnp)
A rro b possible.
,-3
t;
su- fif inean dascont lcmnP
af Ye SiS'lorrco el roc'm
lLa n-, and -ternPeratu'Ya
i s +'6x lo3
k ,-tfren i ts
i n cmdesonL lornPg
toot-l td conE u nno *t-ho sa'rne-
€ ilg le t oo x/ s,zov
L ] GarE-oO
b.+
D.A
is tna,( Kad 4cN, P4OV.
*enrpera,tuvaCzu O 13
to e,t{ icionk of raSiS*ztrrm-
toN'
BLc^ta -P-t lcumanb
-lernpwaluva i n oe iS A?proruien aLdC --Ge-rE-to
44, 6u
22. t o. c talgg i4i oa^Lion ol toy!c95, Souroa rrane&r rnal, onaedNW1
-ru Pos of ftonnenLs
i3[" gourco i n *ho circ-r-ri t Sho rcn
L ] GPsPD.D
A. VCCS
B. VCVS
A{o C, CCCS
D. ccvs
F' ' A-n idooul Vo lta,go Sour ea t^: i ll U*84 e idoa' I
ccpc"cr+o, f ] (garr)
A.in infinite *i rno E.eqlPonen-harll!
C' in stonLaneousl3 D' l"ona of -tflese"
3 A ?yc.,ch ca-,l Curr*f Sourco iS usua:llg r3>vasented bg
L ] Ga-D
A' a f eS iStonca I n SerieS uoi*h cir idoa-rl CuyronL sourco
b.a rag iglorlca i n pwa ld uo i*h an i d eau I Ctrront Soarce
C,a) tZ.gistanca in para:nd rcith an ideol Vol*^ge )oorco
D. Aone o+ 4ho- NsaVa.
+^A lov boutLer3 r.oi'th &n inbeynarl rogig+anca o-p I0' iS
Co nnactqd &cngs oJ non lineor loa'd rcho9o V-:L
chavoucLel igtj e i S I ivoc by a:-= VL+ 2y '-rha 0lvfenb
-1ho- dupendenL
classi'fie-cl orS
t0o-
23. 6 A 3 de Supplg r"cith CI.n inte,rna,l rasig*aneo of
?tw S upp lie g oo pcr gS i Ve non - I i naat ras i$ta6ca
Ch af at eLu i z-ed bg -the fal ati o n V u L= =": o -he
POrco"t diSgi p aLad in *he 'hon- linzatr fasig.{-anca
is t ] Gx'E-",
A. I,ON {b.t.5N
"C
a"5tA D. 3,0 N
R i3 connected *a a eurYolrt: Souf@r
Powet o€ lg N, Nhen *he Sarne R
o,) Vo t*a,6e- Souv ce hali13 -the Sarno
+ha Cvvros:t gour CQ, *ho Power
i S +.614 . lhz rn13 ni*udo QP +ho
or,d *ho vartuo op R a!{e L ] ,
Go*-oa)
6 hl hen 6J ro$ igfoY
i t Con5urno$ a)
i 3 Co nA eeLod +o
,'f.|^3 ni*ude ajg
al, B ov bed Ug R
Curronb gouYca
AJIB n arrcl lu
c ' lA arrd !Bt^>
and |Lu
and O'5 O- .
raSi.shcr i3 1-- atgs'
b, sA
D. 6,A
-I" 'Tho U -i Ch arn, Cte,r i S bic o.f c,
rrho resistor is L ] ccsr)
A. l;near, ParSSiVe, bilake,farl
6" non -lneat: PouSgivee bl laLua;l
c. non- li^Q@{1 arc-trvor bila'Lorc"l
D. non * t i nerr 6u cliV0 g uni laj.r-latl '
6 *n ideal
Aand B
*hruug h
or'rx) at et i 3 Cc rl rl ect ecJ b ohn eon tar nr i ncu I 9
of +ha ntr-hio/Kr St'rouon belc't'c'':fh@ Cl-'tte'rrk
tha curnrn eLot iS t- ] tCsE)
A A O.8A
C,OA
fb , l,6A
D.3,2,A'
3cw
eu
24. Q. rr-ro euv(ant r, -lhroug h *fre Ecv registoy i n *he
neto,oorw Bhoron in *he-Pigureris t](csr)
A B'5gA b .r.5 ln
6tv c, ll.66A D. t5A
3
lo"--rha orcuik 6hoton in
-
+g. raprasenLs * f ] Gnre)
A Voltarga Conbrultd Vol"ta6o Source'
b Vot+a6a conbo lled curronb 1oarc9-
C eurvanL onbvollqd correnL 5oorca
p Cuvr.enL Grrtrollad Vo t+a6z 6ourco'
A delivorS BoN
l', absor bS 80 N
lL-a
6' c delivers 4{ N
P. abSoYbS 4ohl
I l' rhE i nte/narl regig*once o{' a/^ idea I votta,gL goatce
is L] @u-re,axrsco)
A -nft"iQ c ve.,vg Srnartl approo6ins ze)(o
R . zuro D, Verg twrqe a?pvo at e,hng t:ry,+U
lB. -rhe- dopendenb e-r-rvye-rnb Souvco $hoten in €ig'f J
@nt E)
6tv
25. ll" =n -the 'rnter Conne cLion of idooLt souvcas
+he +g ib iS Knovr^ +hn| -rha GcV
a-to Sov
"i lj Po tcsr
Nh i ch Qf *he & rto nr ing al^ t>L *he vcluo of
*he ClrrrenL Scutce r? Ll qerArE)
A loA B l3a C tEA D'IBA
:rn -lhe +g uto s horco , -l-ha voulua cf -lFrZ
CurtonL r- (n ?+r^?€/as) iS qqn-r-e)
5M 6D
Jz
shc r.^r n
SouY cain
i5
3o
o
!5, A nuhocrt<i CcnLar nS
Soov ces. r.f Vo: I tPS
-lAen the Vo l*a,ga
A hrrlved
C ln ua,u*€ Yl &* *rnas
t i neav re-giStcrS and idoa'l V0 M€a
qf c" I I *he- re s is{" 13 ce-va douulec{'
r -.
L- -l
(EA-r t-;
6 douataC
D vwt A'aUq
26. istl
Gr.rr)
t6. trav *he C_r vCu,iL
tuv
i n F i8. -lha Vo lfa,ga V6
furv
A
b
V
C
A' t' g KCI-
b.z.+K{v
C.3'6xrp
D. -1.9 Ko-
3V
IV
-rV
D . N0 rre o.{*frE aboV0,
l-1' A g E V Source i s co nneclod +o a, Sori og cr rcuit
Gt 6oo ohrnS ancl R oS ShchJn" :Lf c'-'' VottrnaLe-r
at inberAa.-' rosig+anco l'2Ko- iS connactecl
&c/oss Goo ohrn {zsl3fu/ i L roadg 6 V'
-The Vcul ue o+1 R i S L -]
(g'A-ri
6oocr-
-t-
36'l_
Ro-
t*, qive Colls ate Confiecled in Seriog inru rcD o'C
*hen &uv 6urch fons c'uQ CcnAecLed in pru(a'l1o
-to -F eecl tf-,' Cu t ront +o or Ya 5i3'fi VCI tc'a-d 0{
l.D5.., Ea:ch Cotl horg gnnf o{ l'5V r"ci*9r
inbevnolI Ye;'rg1onca o-f o'AcL'-Tho curvont +AYuEb
*he tcrud uoi lt bo f' -1
A 3),39A b. 23.394. c. 64 D. IA,
27. L l+, K] rchhofNrs
lgtl s G.. e, KVD
l" KvL lg boreed on*he ?rinCIpleof cunse/vaLionof
t I @'Poc)
A ' ch*g" fb. Ena{€3 c. 5.1a,rS9 D. lr{ornen*o rD
R -fire curronL_in *he crycriL rs L ]6o.ooc)
A' qA
6.r.-lEA
h lo
L. lo.2EA
D.+A
100 v
+,'A
Vs
Vp.= 6V:
bstl
Go-D
P--o
VR
-f
iv
5
6
AH
Itr
3" Tn *ho f,gure BivQf beton *hs Vo-rluo o1c
I 'S f ]
eA R GPrD
A 2.Ew
6' r.oc,-
loltr"
C. -1 .5 rv
D. lo.oo-
6,.9 nnrcn b
=45ineL
tAl
v
cf cu
. -rhe.
@
-t-
---tt--* l/:- R
C-rrCul L l9 Sho,i:n in Fl3
Volta:ge Vr-i5 $ivon
A'3 -Bes>t
6.3a, ginzb
c. 16 Sinaf
D. "16 CoGBt
,
36v
r6
:L +
t 0o-
28. 5, -The vootua
tr.9uro q NL
:E
"f E o,rd
=
*IAr -the
':V
10.
end
--Al{v
orcui L 'shota
L ] (sa.r=)
n'n
6" -The C'rrcu I b
loa",d o{ L
Sho
l "tS
QToi Vculsnb +o G)
^*u
u?*
'- c '+{v
D. ?*
CUVyentg =tj=> and A7 rneef ata, ju^ChonGrodD
in cu Crrcuibo All cuvyents a'YQ- rna{xad ar3
et:Lu i
^3 *fra rrod o, J+ -q - -G sin(rcb) n^A ancl
J,= B Co S(!.-rt) {na., -lhon aZ k0 irl be f- I $nr=-al)
A lc cog(+t+3e .e-7)n^rA t4' t+ccs (*t + 36,er) nra
C - t+ si n (s V +Zl,t)n.ap - lc cos (+ L-+.96' 8--l) rnA'
Ra{e.rr'ng fu*he crvcutt shoton bolo6 -lha CurvQ-^t in
rBo_ rr.,L*J( i?,-[ ] @sr)
A
t^l^ in triq.U
@nrr * od
:r.
e.
b
6cv
C
D.
EA
l,5A
IA
0'5A
tBry t4y
29. q. For *ho CrrcoiE $rven
and l" 64 for R;= o ond
ig the Valuo of r*furr
B
betovc, i{ .tfre Cuyyont z=3a
B o. r'ag pe c bi vol g , -l-h en r,o hab
Ru=lrt? L](csr)
Nhcb ig *he vqlt ue
Shourn batotil" t_]
A. o.EA
c. 2.0A
-D. 3.0A
o1c euvrenb - in*he
(cs r)
AIA
B -3A
C -64,
DqA
--
Sg. (qATL)
llt-
RL
10. CrfcurE
3ov
:L
ll' considoY the 4'etlooing
JS)
rot * f act
+)eA
t.-rho euryenb
=g in arnps i n -lhe Vottage souYeet o q
Vottoge Vg in volbs Sgogs {fie curve^b source
ves paetiv 4, oxo [ ]
A t$o-ao t4.8r-ro g-8rBo D -lz)%o
;,i -Tt-r o ct, v v ont i n *he lo- regis+ov in ornp3 i3 t ]
A Z t), .3.33 C tO D tP,
6Nv
+
Y
:f
3cv
l0'
Brv
30. l*.-rh.e Vot-l-ar6a
in +s
J; A
13.rhe e;JrYenl:a
r11 EA
arerogs -the
[ ] Cqar r)
Ro-
3n
i4. i n '*he cl Y cul l:
EsrrninarlS av ond b
A o"EV
A, S.0V
c'3.5v
D ,+.0 V
e-C Fiq. isI -l
Q-+ucll {a
t lGo-'D
A lzA*". a
B -r*a
C+A
D.lone of
t. abovo
14. -Th q vol+a€a
4v
Aq,uoll I Ge"D
;+-tZ=44
V in trig tot
A3V
D _EV
"C 6V
D "Nono
iS
e{'the abcvo
+ v--
i i; "
'r n -the n Q_hcey ttr S h or,-r n
t,a S ig+&nce -Pqpd bg,:J+
i n *he 4,3, v or'the af{eeLrvo
--lhe Voltarge Soutco,-tf ]
A Atv
tb 3u
Ctuw
D lo-
ZU
i6;:-74,
X
-
31. IJ,
.*6 ' :rf, -tho lp,r>
&g Sho rcn
re s i sLanca
lrw
YeSiS+or dYar.,rS N eu f r ent o1c IA
i n i-Pre +ig oye, -Fho Varl uo op
R is []Ga-r]ro)
A'+*
b. Gw
6v c. tsc>
D' lBei-
Agg u rn i^3 idool
6 ho t"r n l:o lo uo, -lha
alern el bs i r'"r *h e C r cr'r
'r
b
PJU A.-3V
hov
5v e, sv
D. 5V
, ,' ' Foy *he CvCliL thoconr-Ptnd ouL *he #. CuyVatt
#totcilg *frroqgrr *fr€ Lu fas is*cunca'
1'*j
ido^'f& -fi"; c-lror,gos +o bo x:cuds
3 l:'P'--1 Cl gll.-1l -l-,JI ' I Y)u- t'4 '" 'U:"
^
f a
-lfia Crr ront =*hm.Oh -tta La- Yells+anceL*l
(eNe1.GArE o0
4,6,^;puL Vs =aov
f4{
tb ?rA) PuL Vs= BV
c 5A: put J5= toA
D -lA, PutTs= i 2A
Vor*a,ge Vaa roitl
-bnL f .
(erAr#oS
IA
+
cb +
b
+
32. !q .._r n -+-ig , +he Varluo c{ -lhe Souyco
tl
rDY co Vot'lans iS
G":FSp"d.hniD
A. L>V
6. z+rl
' c. 30V
D. 44-
toEi€rl-e^ca R inoiS
tl Ga-*oD
A, low
6' 3or>
B c.Zocw
D' 4ocv
tse "r n Fr8., -tfoe
I0n
t00v
Br.:rn
IOA
rooV
Vauluo of
ZA
Vcul ua af R
rn *he Circlit Shon n in
o
*ho- ettrvant f r"cill be
+h'o *-tgure ,4ho Vc'rluo $
giveD rg tl @N*oB)
is U Grrlro9
A lo{v
.6 lbew
c tu+4V
D. I turv
A OSIA
0 t.2qA
*tlaa
C I.-TEA
+ t0
aV
orb
l+ Vau-f
D.L,EA
5A
V
l+a lo-
l0-
l(>
"r[i
33. (,
ES.:f-h Q- -hoo eJ ocLriea,,l gub - notroorkl g N , ang N,.
@{L connected -thro ugn -three ras isfurs org
6houc n i n -ftg. -l6e /o t+a1geg ay'c,,mgS 5{>
ysgiS*ov ond trv faSiS-lot @tQ_ givon +o be
t o v and 5 V , ras pect i v-Ju -rhe,n vo l*arga
ctuc,ross t6,P r0-6i$f-or is tlcqarD
A loav {b,+toAV c. - rav D. +f 5V
t I Ge-D
A -Ev
bav
C 3V
D. 6V
7&'_tf VA-V6-_ GV, -l-hon V.-VD iS
r0/
g iVqI ci r cri L
looKing iftlo nodeg
is t-] (eA-D
A.
I and B in -the
6 ocv
l0OO-
6,Kn-
l0,l Ko-
b.;
'.c
D"
R tw R
I
6!
P
qK&
lc0
lrv V
;vc X vD
K0r,,
rcv
34. ' -r-he Vol-l-a:ge V in +g iS
A. tov
O. rEV
C. eV
D.None of -{ffa above
vol*age sG)is[]GrrD
"*t - &L
aL bE
a- +L
a, o@t-x ,bt
orL bb
fuo *+ ba-
:rn 'ltta Ci rC-li L
ln- l$
5V
o{ Fi9.r*fno
A.
aE B.
o
c.
D.
pL
a
a6-
=n +Fp crrcl'iE og Fig.r-tho
E is
-
t. l@arD
Vc.: u o ef +ho Vo t{ag e Sourc0
Vz -J ,x ," O?
h/"t
-|-_
fr-f)
T E-(
I
*^Y^q-
A. - t6V
O. 4v
C.-GV
D. I6V
Vr
tol
P,Q-rhe Vo$aigo ,es.in t I Ga'D
A. AV
u.*,
c. +v
D. BV
Fig' rs
+
9
+
,: ?J
35. .ra
5C, Ce nS ider -the
r,chich is G-'
turrFi8o/a.Hon Shoton
Pcv.tron cf c* lorgw
in *he .$gr-,re
oecfu ica; I ngb.ocY K,
/
Fov R=10- &nd Cur YrsntS
't5= - [zr, Nhich one cno
rBuE? I (qAr-"
L- .--l
r
,l- 16
= 64 b 'j= -4o.
C D ruta, iE Su44i o ant t Ccnclccle +h^L -Fhs
SrpPoSad CL) rtonts arQ inrrpossible
D, Del a I I i n S Uffl cr onL '-{-o ''
derrhfl 'lhe cDrrQft3
in, ist ond iG.
3t' :rn -.lhe givo^ CjvCurb, .-fha cutrenL $uppl iod b3
{-he ba.:tter3rin &rnPe/a' rS (e;arr-re)
.'.
16
i, = 2A )''+= - lA :
the ]t"tlovoiY is
tO-v
36. H:rn -l-he given cjrcurL .paya.noLe/ K is pogifiva
and Pot^nl d is"g i paLd i n 7rv {eg rS*er, i S
le,6N,-r1":o Vaulue cf K rS (.iAr*
?rv EN
rn *hp *gura bolo,ru -tho
-tfyo r,g h *lr@ YoS iSta-nca
c-r-ivr ent of &"nPa/ra f lons
ap tl
A, 461l^a 6 fo ohrng
C .30 ohrns D l e- ohrn 5
l z0v
i)+, -rhe V o f tcu go dguolopod cro cYDag *ho 3n- anc{ 2f)- ra6 €+ors
6hoon in tho figure e(e CV or.d 2V veSPecLivQ{:
tnc ith +he Pol ari t3 o;9 me'(rad' t'{hef r9 *ha Pona'/
( n xo,rtD cleli vared b.y *he 6v Vorr"qge 'gouvca] I'-
J.. i.a-r-tr)
C, !!/
ri .-//
A,6
D-r
c. l0
D.t+
cv+
-r 8v
37. 35.:rn *he
Souy co s
Cu rr e,rtb
rorl
Cr rcuiL Bhorcn be.lon , *ha VoFaga and
N{e- idearl . -160 Vottruge (VouD a:c,rosS
sourc@rin votbs, is t]Qa-rr-r$8c>
Cr-,rYEnb
*he
AO
B5
c r0
D. ACI
:,,-- 'UU.,,n -lhye-e UyCui[: glg{'DonLS .Shorrn rn-thA-'-P-tguvo
Gxe pc4L o{ Gn elaClyiC C-rrCr.ilf .ffiO -lo*arl Pon:o/
a't': 8ov lsed u3 *he -thre-a C) r ui b elements i n
roo;ttS iS
-(q^-E-14;: rHLr oov
I eov
_:_ tEV
t-I
I
I
':',1. -TFr
e a-q/u i V cu I on b cctpc.- c-r *an ca o{
of *he eivcuib ,-3houon in bolorl
*he- inPut looP
]G*E-oO
A Lrttr
b roof,lF
c aoofJF
D +rtr
ir llt*
tooptr
:IffioL
oo?
38. -j:, rhe 'pot^lor Bt-rq> tiefl lrq -thg 2E vL./
*guto Sheurn betor^: iS
Sourea i n -l-Ae
N Go-E-rA
o"+r
-
aR1
a5v
39. e
I 6. Nodo I Analq g rS A-, t'aeS h Analr{Sjs
---:-
t. --rhe Cr ( cc, i t:
loa-,cN o{ t
Shouon in f-rg.
] Go-E"-oE
I s @ev i Vo lenb bo a,
^**
8**
c ' 4+v
D' zcr- .
o(). A nejn ro{t<,r h oS tO
of d igf erenL nodo
A.T s.9
'nodos ond
par r vo ltarge
l-l brafehog,Tho nu rnbe,/
roouldtnt]6"tgf.hniD
3" the nodar I rna*hod
oyr L I Gare)
C.+E 'D. to
of Crvcuit anc"l3S,S iS bal3ed
A' KVt- ond ohrn'S Lorrl B . <eL c,r'd ohrn'S Laa:
C ' xcL and KVL D' r<cu, KvL and ohrrr's Lato'
4-=n:lho Ci rcti B Bhoa16,r-tha Povto,t SuP?tiqd qY+ht
AON
b5N
c roN
D. too lnl
lo,