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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
\t`ps tc m` hcbbcw`g wekb` scbvkdo a prcmb`j c
ter``-peas` lkrlukts6
(k) Assuj` suppby vcbtao` as bkd` vcbtao`.
ch bcag, k.`., we`te`r star cr g`bta lcdd`l
(kk) Kdg`dtkhy te` typ` ch
adg g`t`rjkd` te` peas` vcbtao`.
peas` lurr`dt
lurr`dt as, K pe :
(kkk) G`t`rjkd` te` peas`
X pe
V pe
(kv) G`t`rjkd` te` bkd` lurr`dt g`p`dgkdo cd we`te`r te` bcag k
star cr g`bta lcdd`lt`g.
(v) We` peas` adob`,  ks te` adob` m`tw``d X pe adg K pe.
.
Lablubat` kts vabu` hrcj Vpe.
Q.1) Wer`` lckbs, `ale eavkdo r`skstadl` adg kdgultadl` ch 5
adg 9.9= E r`sp`ltkv`by, ar` lcdd`lt`g kd star alrcss a ter
peas`, =<9
=<9 X, 09 Ez suppby. Hkdg te` bkd` lurr`dt, pcw`r hal
pcw`r, r`altkv` vcbt-ajp`r`s adg tctab vcbt-ajp`r`s.
Gata 6
]:5Ϋ
B : 9.9= E
XB : =<9 X
 : 09 Ez
Hcr a star-lcdd`lt`g bcag,
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3.Three Ph.
Circuits p - Copy
Esas
DC Machi
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
  :  + 
: 5 + 8.=5 : 19.1? 2 <5.1<¹Ϋ
  : 19.
19.1? Ϋ
∀
Ycw`r haltcr :

  :   :

1<=.?;
19.1?
: <5.1
5.1< ¹
 (<5.1<¹) : 9.?58()
: 1<.9
<.90 
1<.90 
 :   : 1<.
 : <   ∀ : < ß =<9 ß 1<.90 ß 9.?58 : .  
 : <   ∀
 : < ß =<9 ß 1<.90 ß skd(<5.1<) : .  
 : <   : < ß =<9 ß 1<.90 : .  
Q. =)Wer``
=) Wer`` skjkbar lckbs A, M adg L ar` avakbamb`. @ale lckb ea
;  r`skstadl` adg a 1=  r`altadl`. We`y ar` lcdd`lt`g kd g`
tc a ter``-peas`, 779 X, 09 Ez suppby. Lablubat` hcr teks bcag
(k) peas` lurr`dt, (kk) bkd` lurr`dt, (kkk) pcw`r haltcr, (kv) tctab nX
(v) altkv` pcw`r, adg (vk) r`altkv` pcw`r. Kh te`s` lckbs
lcdd`lt`g kd star alrcss te` saj` suppby, lablubat` abb te` amc
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< YEA\@ LK]LPKW\
Gata 6
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
]:;
h : 09 Ez
UB : 1= 
XB : 779 X
DC Machi
\CBX
Hcr a g`bta-lcdd`lt`g bcag,
XB : Xpe : 779 X
pe :;+f1= : 10 0<.1<¹ 
Vpe : 10 
 : 0<.1<¹
Kpe :
 
799
:
: =;.<< A
10
 
KB: < Kpe: < x =;.<< : 09,5 A
Ycw`r haltcr : lcs  : lcs (0<.1<¹) : 9.8 (baookdo)
\ : < XBKB
: < x 779 x 09.5 : <5.?1 nXA
Y : < XBKB lcs
: < x 779 x 09.5 x 9.8 : =<.=< n_
Q : < XBKB skd
: < x 779 x 09.5 x skd(0<.1<¹): <9.;? nXA]
Kh te`s` lckbs ar` lcdd`lt`g kd star alrcss te` saj` suppb
Xpe :
 779
:
: =07.9< X
<
<
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
KB : Kpe : 18.;7 A
Ycw`r haltcr : 9.8 (baookdo)
\ : < XBKB :
< x 779 x 18.;7 : 1=.;1 nXA
Y : < XBKB :
< x 779 x 18.;7 x 9.8 : ?.?7
Q : < XBKB skd 
:
< x 779 x 18.;7 x 9.5 : 1=.<< nXA]
Q. <) A 710 X, 09 Ez, ter``-peas` vcbtao` ks appbk`g tc ter`` s
lcdd`lt`g kg`dtklab kjp`gadl`s. @ale kjp`gadl` lcdsksts c
r`skstadl` ch 10  a lapalktadl` ch 1?? H adg ad kdgultadl`
9.1 e`dry kd s`rk`s. Hkdg te` (k) peas` lurr`dt, (kk) bkd` lurr`dt,
pcw`r haltcr, (kv) altkv` pcw`r, (v) r`altkv` pcw`r, adg (vk) tc
XA. Graw a d`at peascr gkaoraj. Kh te` saj` kjp`gadl`s
lcdd`lt`g kd g`bta, hkdg te` (k) bkd` lurr`dt, adg (kk) pcw
lcdsuj`g.
Gata 6
XB : 09Ez
h : 09 Ez
] : 10
L : 1??H
B : 9.1 E
Hcr a star-lcdd`lt`g bcag,
X
:

:
710
: =<;.8 X
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
UL :
1
:
=hB
1
= x 09 x 1?? x 19 ∝8
\CBX
: 1?.;5
pe : ] + fUB - fUL : 10 + f<1.7= - f1?.;5
: 10 + f1<.77 : =9.17  71.589 
Vpe : =9.17 

:71.85¹
Ycw`r haltcr : lcs  : lcs (71.58¹) : 9.?77 (baookdo)
Kpe :
 
=<;.8
:
: 11.; A
 
=9.17
KB : Kpe : 11.; A
Y :
< XB KB lcs: < x 710 x 11.; x .?77 : 8.<8
Q :
< XB KB skd: < x 710 x 11.; x skd (71.58
Q : 0.?1 NXA]
\ :
\:
Yeascr Gkaoraj6
< XB KB
< x 710 x 11.; : 5.00 Nva
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
Kh te` saj` kjp`gadl`s ar` lcdd`lt` kd g`bta
XB : Xpe : 710 X
Vpe : =9.17
↝ Kpe
 
710
:
:
: =9.81 A
=9.17
 
↝ KB :
< Kpe : < x =9.81 : <0.8; A
↝ Y:
< XB KB lcs : < x 710 x <0.8; x .?77
Y : 1;.9; n_
Q.7) Wer`` skjkbar lecn` lckbs ar` lcdd`lt`g kd star tc a ter
peas` suppby. Kh te` bkd` lurr`dt ks 10A, te` tctab pcw`r lcdsuj
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
ch `ale lckb. Kh te`s` lckbs ar` dcw lcdd`lt`g kd g`bta tc te` sa
suppby, lablubat` peas` adg bkd` lurr`dts, altkv` adg r`alt
pcw`r.
Gata6
KB : 10 A
Y : 11 n_
\ : 10 nXA
Hcr a star-lcdd`lt`g bcag,
\ : < XB KB
10 x 19< : < x XB x 10
XB : 0??.<0 X

<
Xpe :
lcs :
:


 : 7=.58
:
0??.<0
<
: <<<.<<X
11  19 <
10  19 <
: 9.?<<
9
9
Q : < XB KB skd  :< x 0??.<0 x 10 x skd (7=.58 ) : 19.= nXA]
Kpe : KB : 10A
Vpe :
 
<<<.<<
:
: ==.== 
 
10
] : Vpe lcs  : ==.== U 9.?<< : 18.=; 
UB : Vpe skd 
: ==.== x skd (7=.58¹) : 10.11 
Kh te`s` lckbs ar` dcw lcdd`lt`g kd g`bta,
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
Kpe :
DC Machi
\CBX
 
0??.<0
:
: =0.;5 A
==.==
 
KB : < Kpe
: < x =0.;5 : 70 A
Y : < XB KB lcs
: < x 0??.<0 x 70 x 9.?<< : <=.;5 n_
Q : < XB KB skd
: < x 0??.<0 x 70 x skd (7=.58 9) : <9.81 nX
Q. 0)A <, star lcdd`lt`g scurl` h``gs 1099 nw at 9.50 ph bao
a mabadl`g g`bta lcdd`lt`g bcag. Lablubat` te` lurr`dt, kts alt
& r`altkv` lcjpcd`dts kd `ale peas` ch scurl` & bcag. We`
bkd` vcbtao` ks =.=nX.
 : 9.50()
Gata 6Y : 1099 n_
XB : =.= nX
Hcr a g`bta-lcdd`lt`g bcag,
Y : < XB KB lcs∀
1099 ß 19< :
< ß =.= ß 19< ß K ß 9.50
KB : 78<.1=A
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Question Bank in
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3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
: =8?.<5 ß 9.50 : ==?.=?
]`altkv` lcjpcd`dt kd `ale peas` ch te` bcag :  skd ∀
: =8?.<5 ß skd ∝1 9.50
: =8?.<5 ß 9.0=8 : 179.50 
Hcr a star-lcdd`lt`g scurl`, te` peas` lurr`dt kd te` scurl`
m` te` saj` as te` bkd` lurr`dt grawd my bcag.
Altkv` lcjpcd`dt ch teks lurr`dt kd `ale peas` ch te` scurl`
: 78<.1= ß 9.50 : <;<.80 
]`altkv` lcjpcd`dt ch teks lurr`dt kd `ale peas` ch te` scurl`
: 78<.1= ß 9.0=8 : =7<.8 
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
Q. 8)Hcr a mabadl`g, ter``-peas` _y`-lcdd`lt`g bcag, te` pea
vcbtao` X] ks 19970¹ X adg kt graws a bkd` lurr`dt K y
159¹A. (k) Hkdg te` lcjpb`x kjp`gadl` p`r peas`, (kk) Graw
pcw`r trkadob` adg kg`dtkhy abb kts skg`s wkte jaodktug`s a
apprcprkat` udkts. Assuj` peas` s`qu`dl` ]-[-M.
Gata6
X] :
 : 199 - 709 X
Ky : 0 159¹A
Hcr a _y`-lcdd`lt`g bcag,
 : 199 -70¹X
We` lurr`dt K] b`ags lurr`dt Ky my adob` 1=9¹.

:0
 :
- 89¹A

199 ∝ 70 ¹
:
0 ∝ 89 ¹

: =9
10¹  : 1;.<= +f0.15 
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
Altkv` pcw`r
DC Machi
\CBX
Y : < Xpe Kpe lcs
: <x 199 x 0 x lcs (10¹) : 1.70 n_
]`altkv` pcw`r
Q : < Xpe Kpe skd 
: < x 199 x 0 x skd (10 9) : 9.<; nXA]
]`altkv` pcw`r
\ : < Xpe Kpe
: < x 199 x 0 : 1.0 NXA
XA
N
.0
\:1

]
A
X
N
;
<
.
9
:
Q
Y:1.70N _
Q.?) @ale b`o ch a mabadl`g, g`bta-lcdd`lt`g bcag lcdsksts ch
? r`skstadl` j s`rk`s wkte a 7  kdgultkv` r`altadl`. We` bkd`
tc-bkd` vcbtao`s ar`
@am : =<89 99
@ ml : =<89 1=9¹ X
@la : =<89 1=9¹X
G`t`rjkd`
(k) peas` lurr`dt K am, Kml adg Kla(mcte jaodktug` adg peas`),
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
(kv) hkdg te` kjp`gadl` p`r peas` teat graws te` saj` pcw`r a
te` saj` pcw`r haltcr.
Gata 6
] :?
UB : 7 
XB : =<89 X
Hcr a g`bta-lcdd`lt`g bcag,
Xpe : XB : =<89 X
pe : ? + f 7 : 5.98  =;.?79
Yeas` lurr`dt Kam :
:
 :
 :

 
=<89
5.98
=<89
5.98
=<89
5.98
9¹
=;.?7¹
1=9 ¹
=;.?7¹
1=9 ¹
=;.?7¹
: =;=.5  =;.?79A
9
: =;=.5  17;.?1 A
: =;=.5 ;9.=89A
Kd a g`bta-lcdd`lt`g, ter``-peas` syst`j, bkd` lurr`dts bao
9
m`ekdg r`sp`ltkv` peas` lurr`dts my <9 .
KB : < Kpe
: < x =;=.5 : 09?.17 A
KBa : 09?.17 0;.?19A
KBm : 09?.17 1?;.?1 9A
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
KDW@]LCDD@LWKCD
Esas
DC Machi
\CBX
Assujkdo teat kjp`gadl`s ar` dcw lcdd`lt`g kd star, te` pcw
p`r peas` adg pcw`r haltcr r`jakds te` cd`.
Hcr a g`bta-lcdd`lt`g bcag,
Ycw`r p`r peas` : Xpe Kpe lcs  : =<89 x =;=.5 x 9.585 :
0;;.?; n_
Hcr a star-lcdd`lt`g bcag,
Xpe :
=<89

:
: 1<8=.00 X
<
<
Ycw`r p`r peas` : Xpe Kpe lcs 
<
0;;.?; x 19 : 1<8=.00 x Kpe x 9.585
Kpe : 09?.17 A
Vpe :
 
1<8=.00
:
: =.8; 
09?.17
 
Q.5) A ter``-peas`, =99 n_, 09 Ez, g`bta-lcdd`lt`g kdgult
jctcr ks suppbk`g hrcj a ter``-peas`, 779 X, 09 Ez sup
syst`j. We` `hhklk`dly adg pcw`r haltcr ch te` ter``-pea
kdgultkcd jctcr ar` ;1 % adg 9.58 r`sp`ltkv`by. Lablubat` (k) b
lurr`dts, (kk) lurr`dts kd `ale peas` ch te` jctcr, adg (Ek) al
adg r`altkv` lcjpcd`dts ch peas` lurr`dt.
Gata6
Y9 : =99 n_
h
09Ez
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
ph : 9.58
Hcr a g`bta-lcdd`lt`g bcag (kdgultkcd jctcr),
Xpe : XB : 779 X
@hhklk`dly
 
 
 :
9.;1 :
Kdput pcw`r
=99 ß 19 <
 
Yk : =1;.?5 n_
<   lcs
Yk :
=1;.?5 U 19 < :

:
< x 779 x  x 9.58
<<0.<A
Kp e :
<<0.<

:
: 1;<.8A
<
<
Altkv` lcjpcd`dt ch peas` lurr`dt : Kp e lcs:1;<.8x9.58
:188.0 A
]`altkv` lcjpcd`dt ch peas` lurr`dt : Kp e skd  : 1;<.8 x 9.01
: ;5.? A
Q.;) A < 799 X star lcdd`lt`g abt`rdatcr suppbk`s a < , 11=
j`se lcdd`lt`g kdgultkcd jctcr ch `hhk`k`dly & ph ch 9.55 a
9.58 r`sp`ltkv`by. Hkdg (k) lurr`dt kd `ale jctcr peas` (kk) lurr`
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< YEA\@ LK]LPKW\
Gata6
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
XB : 799X
Y9 : 11= Nw
ph : 9.58 X
 : 9.55
Hcr j`se lcdd`lt`g bcag (kdgultkcd jctcr),
Xpe : XB : 779 X
@hhklk`dly
9.55 :
Kdput pcw`r
 
 
 :
11=  19 <
 
Yk : kdput pcw`r : 1=?.=? nw
Dcw Yk : <   lcs
 1=?.=? x 19< :

 : =1<.8A
 :
↝
< x 799 x  U 9.58

:=1<.8/< :1=<.<=A

Lurr`dt kd star lcdd`lt`g abt`rdatcr peas` wkbb m` saj`
bkd` lurr`dt grawd my jctcr.
 lurr`dt kd `ale abt`rdatcr peas` : =1<.8 A
↝
Altkv` lcjpcd`dt ch lurr`dt kd `ale peas` ch jctcr
: lcs 
: 1=<.<= x 9.58 : 190A
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< YEA\@ LK]LPKW\
↝
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
Altkv` lcjpcd`dt
DC Machi
\CBX
: =1< x 9.58
ch lurr`dt kd `ale abt`rdatcr  : 15<. ? A
↝
]`altkv` lcjpcd`dt ch
: =1< x 9.01 : 195.;A
lurr`dt kd `ale abt`rdatcr 
Q. 19)Wer`` kg`dtklab kjp`gadl`s ch 19 <9¹  `ale
lcdd`lt`g kd star adg adcte`r s`t ch ter`` kg`dtklab kjp`gadl`s
15 89¹  ar` lcdd`lt`g kd g`bta. Kh mcte te` s`ts ch kjp`gad
ar` lcdd`lt`g alrcss a mabadl`g, ter``-peas` 799 X suppby, h
te` bkd` lurr`dt, tctab vcbtajp`r`s, altkv` pcw`r adg r`al
pcw`r.
Gata 6
 : 19  <9¹ 
 : 19  <9¹ 
 : 799 
Wer`` kg`dtklab g`bta kjp`gadl`s lad m` lcdv`rt`g k
`qukvab`dt star kjp`gadl`s.
 :
‽

<
:
15 89 9
<
: 8 899 
Dcw twc star-lcdd`lt`g kjp`gadl`s 19  <9¹ adg 8  8
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
Hcr a star-lcdd`lt`g bcag,

 : < :
799
: =<9.;7 X
<
 
 
=<9.;7
 :  :  : <.5? : 0;.8? 


 :  : 0;.8? 
\:
<   : < x 799 x 0;.8? : 71.<7 nXA
 : <   lcs ∀ : < x 799 x 0;.8? x lcs (75.5< 9) : =?.=1n_
Q : <   skd ∀ : < x 799 x 0;.8? x skd (75.5< 9) : <1.1=nX
Q. 11) Wer`` 199
, dcd- kdgultkv` r`skstadl`s ar` lcdd`lt`g
(a) star, adg (m) g`bta alrcss a 799 X, 09 Ez, ter``- peas` supp
Lablubat` te` pcw`r tan`d hrcj te` suppby kd `ale las`. Kh cd`
te` r`skstadl`s ks cp`d lkrlukt`g, weat wcubg m` te` vabu` ch tc
pcw`r tan`d hrcj te` jakds kd `ale ch te` twc las`s3
 : 799 
GAWA6
 : 199 Ϋ,
Hcr a star-lcdd`lt`g bcag,

 : < :
799
<
: =<9.;7 
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
lcs ∀ : 1
Y :   
∀
: < ß 799 ß =.<1 ß 1 : 1899.71 
Hcr a g`bta-lcdd`lt`g bcag,
 :  : 799 X

799
 :   : 199 7 

 : < 
:
< ß 7 : 8.;< A
 : <   lcs ∀
: < ß 799 ß 8.;< ß 1 : 7591.=7
_e`d cd` ch te` r`skstcrs ks cp`d lkrlukt`g
\tat lcdd`ltkcd
We` lkrlukt lcdsksts ch twc 199
s`rk`s alrcss a 799 X suppby.
 r`skstcrs
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
E`dl`, we`d cd` r`skstcr ks cp`d lkrlukt`g, te` pcw
lcdsujptkcd ks r`gul`g my eabh.
G`bta lcdd`ltkcd
Kd teks las`, lurr`dts kd A adg L r`jakd
usuab cut ch peas` wkte `ale cte`r.
∷ lurr`dt kd `ale peas` :
799
199
: 7A
↝ pcw`r tan`d hrcj jakds : = ß 7 ß 799 : <=9999
∷ we`d cd` r`skstcr ks cp`d lkrlukt`g, pcw`r lcdsujptkcd
r`gul`g my cd` tekrg.
Q.1=) A mabadl`g g`bta-lcdd`lt`g bcag eavkdo ad kjp`gadl`
: (<99+f=19) cej kd `ale peas` ks suppbk`g hrcj a 799 X, ter
peas` suppby tercuoe a ter``-peas` bkd` eavkdo ad kjp`gadl`
Vs:(7+f5) cej kd `ale peas`. Hkdg lurr`dt adg vcbtao` kd `ale
te` bcag.
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
Wer`` kg`dtklab g`bta kjp`gadl` lad m` lcdv`rt`g kdtc `qukvab
star kjp`gadl`s.

<99+ =19
  : < :
: 199 + ?9 
<
‽
We` lkrlukt lad m` grawd as
 :  +  

‽
: 7 + 5 + 1 9 9 + ?9
: 197 + ?5  : 1<9<8.5?¹
Hcr a star-lcdd`lt`g bcag,
 :
 :

799
<
=<9.;7 9 ¹
: =<9.;7X
:1.?5 ∝ <8.5?¹A
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
: 1.?5 ∝ <8.5?¹ ß 7 + 5 :
10.;==8.08¹
  : =<9.;7  9¹ ∝ 10.;==8.08¹
Xcbtao` alrcss
‽
: =18.5=  ∝ 1.55¹
Xcbtao` kd `ale peas` ch te` bcag
: =18.5= 
Lurr`dt kd `ale peas` ch te` bcag : 1.?5 A
Y]CMB@J\ MA\@G CD LCDX@]\KCD
Q.1. Hkdg
]AM
7
7.0
7.0
]7
]=
A
]1
<
<
]<
]8
]0
?.0
?.0
<
Lcdv`rtkdo te` twc g`bta d`twcrns tc star.
M
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
7
]=
]7
]8
]1
M
A
]0
]<
<
]1
:
]L
:
]=
:
]0
:
]<
:
]7
:
7.0  ?.0
7.0 + ?.0 + <
?.0  <
7.0 + ?.0 + <
7.0  <
7.0 + ?.0 + <
9.;
A
=.=0
7
: =.=0
: 1. 0
: 9.;
9.;
=.=0
0.5
8
1.0
<
Dcw 0.5 || 8 : =.;0
1.0
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< YEA\@ LK]LPKW\
:
]AM
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
DC Machi
\CBX
?.0
Q. =
8
;
1.0
7
<
1
Dct`
6
hcr sule a d`twcrn lcdv`rt kdt`rdab star tc
d`twcrn, gc dct gc vkl` v`rsa udtkb `xpbklktby j`dtkcd`g.
 Lcdv`rtkdo star d/w tc g`bta d/w w` eav`
A
;
1.0
]=
]1
]<
M
L
1
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
w` eav` 1.0 adg ]= kd parabb`b
w` eav` ; adg ]1 kd parabb`b
]1 : 8 + 7 +
;
87
: 15
<
]= : 8 + < +
8<
7
1.
<0
8
15
:
1.0
1<
.0
;
9.;
1<.0
]< : 7 + < +
7<
8
1
: ;
↝
We` d`twcrn lad m` skjpbkhk`g as kd
1)
M`tw``d t`rjkdabs A adg M
; || 15 : 8
=)
M`tw``d t`rjkdabs M adg L
1.0 || 1<.0 : 1.<0

]`grawkdo te` d`twcrn as skjpbkhk`g
A
m`bcw.
]AM : 8 || (1.<0 + 9.;)
: 8 || =.=0
8
1.<0
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
Q.<
10
=9
A
<9
70
<0
M
79
Grawkdo te` r`skstadl` ch <9  hrcj cutskg`
=9
10
A
=0
70
<0
<9
M
79
Lcdv`rtkdo g`bta d`twcrn hcrj`g my r`skstadl` =9 ,
adg <0 kdtc ad `qukvab`dt star d`twcrn.
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
10
\CBX
L
A
]=
]1
70
<9
@
]<
M
G
]1 :
]= :
]< :
=9  <0
=9 + <0 + =0
=9  =0
=9 + <0 + =0
<0  =0
=9 + <0 + =0
H
79
: 5.?0
: 8.=0
: 19.;0 
]`grawkdo te` lkrlukt, we`r` M & G ar` `qukpct`dtkab.
A
10
L
8.=0
5.?0
@
H
19.;0
<9
70
79
M
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
8.=0
10
A
70
<5.?0
09.;7
M
Dcw 09.;7  || <5.?0  : ==.91  : =.= 
 ==  kd s`rk`s wkte 8.=0
: == + 8.=0 : =5.=0 
10
A
70
=5.=0
M
parabb`
70 || =5.=0 : 1?.<0
A
A
1?.<0
:
<=.<0
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
Q.7 Hkdg ]AM
A
8
7
<
0
0
7
5
M
Ekdt lcdv`rt 6 <ℨ , 0ℨ adg 5ℨ star tc g`bta
A
8
7
]1
]=
0
bb `
ra
a
p
]<
parabb`
7
b
M
Dcw (]= adg 0ℨ kd parabb`b) adg (] < adg 7ℨ kd parabb`b)
A
8
d
7
A
parabb`b
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
]AM : 7.=<ℨ
Q.0
Hkdg `qukvab`dt r`skstadl` m`tw``d A adg M.
↝ lcdv`rtkdo star d/w hcrj`g my <ℨ, 7ℨ adg 0ℨ kdtc g`
d/w.
]
<
0
11.?0
<
10.8?
7
]
1
]1 : 0 + 7 +
07
<
: 10.8?
;.7
]
=
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
]< : 0 + < +
0<
7
\CBX
: 11.?0 
\kjkbarby, Lcdv`rtkdo star d/w hcrj`g my r`skstcrs 7 , 8
5 kdtc  d`twcrn.
]
8
8
1<
7
=8
5
]
7
]7 : 8 + 5 +
]0 : 7 + 5 +
]8 : 8 + 7 +
↝
85
7
75
8
87
5
1?.<<
]
0
: =8
: 1?.<<
: 1<
lcdd`ltkdo te` = g`bta d/w's kd parabb`b m`tw``d A & M
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< YEA\@ LK]LPKW\
↝
3.Three Ph.
Circuits p - Copy
KDW@]LCDD@LWKCD
Esas
DC Machi
\CBX
 ]`skstadl`s ch ;.7ℨ adg 1?.<< ℨ ar` kd parabb`b wkte a
secrt. kts `qukvab`dt
]:9
]AM : 8.1? || ;.?5 : <.?5ℨ
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
Q.8 Hkdg `qukvab`dt r`skstadl` m`tw``d t`rjkdabs x adg y
te` d/w secwd.
↝
 5 ℨ adg 7 ℨ ar` kd s`rk`s as w`bb as 1?ℨ adg 1<ℨ ar`
s`rk`s as w`bb as 1?ℨ adg 1<ℨ as secwd kd amcv` hko. w`
eav`.
D
1=
1=
<7
C
Y
<9
<9
<9
]B
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< YEA\@ LK]LPKW\
DC Machi
\CBX
↝  \kjkbarby lcdv`rtkdo [cY
↝
<7
D
]1
]<
7
19
7
19
]U
A
][
D
]=
7
U
¼
Y
C
]=
J
Esas
KDW@]LCDD@LWKCD
lcdv`rtkdo UJD hrcj
hrcj
3.Three Ph.
Circuits p - Copy
19
y
∈
G`bta ]`skstadl`s ar` `quab  : 
]1 : ]= : ]< :
<
1=  1=
1= + 1= + 1=
:
]x : ]y : ]z :
: 7 cd
<9  <9
<9 + <9 + <9
1=
<
∈
<
:
: 7
: 19 cd
<9
<
:
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< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
KDW@]LCDD@LWKCD
75
\CBX
17
75
A
A
19
7
17
Dcw 75 || 17 : 19.57 
19.57
7
19
U
DC Machi
[
 ]xy : 7 + 19 + 19.57  : =7.57
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3 PHASE Full description
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Question Bank in
AC Circuits
< YEA\@ LK]LPKW\
3.Three Ph.
Circuits p - Copy
Esas
DC Machi
KDW@]LCDD@LWKCD
\CBX
Q.1? Hkdg ]AM
A
8
8
M
1=
1=
1=
L
G
<
@
H
<
Lcdv`rtkdo kdt`rdab g`bta d/w ↝  d/w
A
M
8
]1
]=
8
7
\`rk`s
]<
7
7
<
<
\`rk`s