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Transcript of Capicitors
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8/2/2019 Capicitors
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LNLI]TAY]C]OIY=% ICVCIO]ATY
VAOE]Y ]A TLHLHDLT
3% ]bl cdono} aj c iaem|i}at }a banm }bl ibct`l oy icnnlm }bl icvcio} aj c iaem|i}at%4% ]bl ibct`l ae c iaem|i}at oy motli}n vtavat}oaecn }a o}y va}le}ocn% Oj S oy }bl ibct`l
vtlyle} ce c iaem|i}at cem Z oy o}y va}le}ocn }ble S Z "at/ S IZ8 "at/S
IZ
8
Pbltl }bl iaey}ce} aj vtavat}oaecno} I oy icnnlm }bl lnli}toi icvcio} "at/ icvcio}ceil
aj c iaem|i}at%
9% ]bl tc}oa aj ibct`l "s/ ae c iaem|i}at }a o}y va}le}ocn "Z/ oy icnnlm }bl icvcio} aj }bliaem|i}at "I/ "at/ Oj 3Z zan} 8
=% \eo} aj icvcio} oy Jctcm "at/ Ian !Zan}
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3=%C vanct hanli|nl oy ael oe pboib }bl i% % aj vayo}ozl cem el`c}ozl ibct`ly ma ea}iaoeioml% ]bl ctl ylvctc}lm d joeo}l moy}ceily% "Pble y|ib vanct hanli|nly ctl
vncilm oe ce lr}ltecn lnli}toi jolnm. }bl jolnm }toly }a atole} }bl vayo}ozl ibct`l ile}lty
oe }bl motli}oae aj }bl jolnm cem el`c}ozl ibct`l ile}lty oe }bl avvayo}l motli}oae/ ]bl
vanct hanli|nl oy ce lnli}toi movanl cem bcy c vlthcele} movanl hahle}%
3
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Eap cea}blt hl}cn vnc}l D pboib oy |eibct`lm oy dta|`b} elctlt }a }bl
vnc}l C% ]ble lnli}tay}c}oi oem|i}oae }ckly vncil oe D cem bleil el`c}ozl ibct`l oy
oem|ilm ae }bl elctlt jcil aj }bl vnc}l D cem vayo}ozl ibct`l oy oem|ilm ae }bl
jct}blt jcil cy ybape% Nl} Z
dl }bl va}le}ocn c} C m|l }a oem|ilm el`c}ozl
ibct`ly cem Z+ oy }bl va}le}ocn c} C m|l }a }bl oem|ilm vayo}ozl ibct`l ae D% ]bl
el} va}le}ocn c} }bl vnc}l C oy `ozle d
3Z Z Z Z
+8 +
]ba|`b oem|ilm +zl cem zl ibct`ly c} }bl vnc}l ctl ls|cn. yoeil }bl
el`c}ozl ibct`ly ctl elctlt }a }bl vnc}l C .Z Z +
5 %
3Z Z >
3
3
SI
Z8 Yoeil
3Z Z>
3I I5 %
]a tly}atl }bl oeo}ocn va}le}ocn aj }bl vnc}l C. yahl hatl ibct`l ice dl `ozle }a o}%
]bltl d hatl ibct`l ice dl y}atlm ae C po}b a|} ibce`oe` o}y va}le}ocn%
J|t}blt. oj }bl hl}cn vnc}l D oy lct}blm cy ybape. }bl oem|ilm }bl ibct`ly
jnap }a }bl lct}b% Bleil }bl el} va}le}ocn c} }bl vnc}l C oy `ozle d
33Z Z Z
8 Cem bleil
33Z Z>>
33
33
SI
Z
8 Pbltl33
I I55
C`coe }a tcoyl }bl va}le}ocn aj C }a }bl oeo}ocn zcn|l c nct`l cha|e} aj ibct`l ice
dl `ozle }a o}%
]b|y }bl icvcio} aj c iaem|i}at ice dl oeitlcylm po}ba|} ibce`oe` o}y va}le}ocn%
\yly aj icvcio}aty7
3% Icvcio}aty ctl |ylm }a y}atl lnli}toi ibct`l%
4% ]bl ice ly}cdnoyb |eojath lnli}toi jolnm po}boe c yhcnn tl`oae%
9% C icvcio}at ponn dnaik M%I% cem cnnapy C%I }bta|`b o}% Ya icvcio}aty ctl |ylm
oe jon}lt ioti|o}y%
=% Icvcio}aty ctl pomln |ylm oe }|eoe` ioti|o}y aj tcmoa. ]%Z% cem potlnlyy yl}y%
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Icyl 47 Pble c molnli}toi aj }boikelyy} oy oe}tam|ilm dl}plle }bl vnc}ly. }ble
elp icvcio}
6 63 3 3
3 3
C CI
m } mk k
8 +
Oe }boy icyl oeitlcyl oe icvcio} mlvlemy ae }boikelyy aj molnli}toi } cem ae o}y
molnli}toi iaey}ce}%
4% Mltozl ce lrvtlyyoae jat }bl lelt` y}atlm oe c icvcio}at% Pbc} oy }bl ibce`l oe}bl lelt` y}atlm pble }bl yvcil dl}plle }bl vnc}ly oy jonnlm po}b c molnli}toi1c/Q Po}b ibct`oe` dc}}lt moyiaeeli}lm
d/ Po}b ibct`oe` dc}}lt iaeeli}lm oe }bl ioti|o}
C% o}%Lelt` y}atlm oe c iaemleylt 7
Iaeyomlt c iaemleylt aj icvcio} I pboib oy ibct`lm }a c va}le}ocn Z d `ozoe` c
ibct`l s ae }a o} %s
ZI
8
]bl patk mael oe oeitlcyoe` }bl ibct`l ae }bl iaemleylt d c yhcnn cha|e} ms oy
`ozle d smP Z msi
8 8 ms%
]bl }a}cn patk mael oe oeitlcyoe` }bl ibct`l ae }bl iaemleylt jtah 6 }a s oy `ozle
d
4 4
66
3 3 3
4 4
ss s s
P s msI I I
8 8 8
]boy patk mael oy y}atlm cy lnli}toi va}le}ocn lelt` aj }bl iaemleylt%
443 3 3
4 4 4a
s\ I Z SZ
I 8 8 8
Ljjli} aj molnli}toi ae lelt` 7
Iaeyomlt c icvcio}at aj icvcio} aI po}b cot cy molnli}toi cem ibct`lm }a c
va}le}ocn aZ po}b }bl blnv aj c dc}}lt% Nl} }bl joecn ibct`l ae }bl icvcio}at oy as %
Pble }bl ibct`oe` dc}}lt oy moyiaeeli}lm7
Nl} }bl dc}}lt oy moyiaeeli}lm jtah }bl icvcio}at cj}lt ibct`oe` o} cem }bl yvcildl}plle }bl vnc}ly oy jonnlm iahvnl}ln po}b c molnli}toi aj iaey}ce} k% Bleil }bl
va}le}ocn aj }bl iaemleylt dliahly aZ
Zk
8 %
Yoeil }bl dc}}lt oy moyiaeeli}lm }bl ibct`l ae o} oy iaey}ce}% "o%l%/ %as s8 Bleil
lelt` y}atlm oy
3 3 3
4 4 4
a a aa
Z s Z\ sZ s
k k8 8 8
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a\
\k
8 3
4a a a\ s Z
8
S
Lelt` tlm|ily d c jci}at k%
Pble }bl ibct`oe` dc}}lt iaeeli}lm%
Nl} }bl molnli}toi aj iaey}ce} k oy oe}tam|ilm dl}plle }bl vnc}ly aj }bl
iaemleylt kllvoe` }bl dc}}lt iaeeli}lm }a }bl icvcio}at% Bleil }bl ibct`l ae }bl
vnc}ly oeitlcyly }a as ks8
Yoeil }bl dc}}lt oy ea} moyiaeeli}lm. }bl va}le}ocn mojjltleil tlhcoeoe` }bl ychl%
]bl lelt` y}atlm oy `ozle d " /3 3
4 4a a a\ sZ ks Z k\ 8 8 8 a\ k\ 8
Bleil }bl lelt` oeitlcyly d c jci}at k%
9% Mlyitodl }btll mojjltle} }vly aj icvcio}aty. }blot iaey}t|i}oae cem |yly%C% 3 %Zctocdnl cot icvcio}at 7
]bl zctocdnl icvcio}at iaeyoy}y aj }pa yl}y aj vnc}ly% Ael yl} oy jorlm cem o}
oy icnnlm y}c}at% ]bl a}blt yl}. icnnlm ta}at ice dl ta}c}lm azlt y}c}at d ta}c}oe` c
voy}ae% M|toe` ta}c}oae }bl ljjli}ozl ctlc aj vnc}ly cem bleil }bl icvcio} aj }bl
iaemleylt ice dl zctolm% Oj e oy }bl e|hdlt aj vnc}ly oe }bl icvcio}at. }ble " /3e
icvcio}aty ctl oe vctcnnln
" /3 ae CI
m
8
Zctocdnl icvcio}aty ctl pomln |ylm oe }|eoe` ioti|o}y oe tcmoa. ]%Z tlilozlty%
4%H|n}ovnl icvcio}at 7
]boy oy c vctcnnln iahdoec}oae aj ylzltcn vctcnnln vnc}l icvcio}aty cem bcy c
jorlm icvcio}% Oe }boy hoic oy |ylm cy molnli}toi dl}plle c e|hdlt aj }oe jaony
cttce`lm oe vctcnnln cy ybape% Oj e oy }bl }a}cn e|hdlt aj vnc}ly }ble
" /3 aC
I em
8
]blyl icvcio}aty ctl |ylm oe bo`b jtls|lei ayionnc}oe` ioti|o}y% ]bl molnli}toi
iaey}ce} aj hoic maly ea} ibce`l po}b }lhvltc}|tl cem bleil }blyl icvcio}aty ctl|ylm cy y}cemctm icvcio}aty oe ncdatc}at%
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9% Vcvlt iaemleylt 7
Oe vcvlt iaemleylt c vcvlt yacklm oe aon "at/ pcr oy |ylm cy molnli}toi oe
dl}plle }oe jaony }bc} yltzl cy icvcio}at vnc}ly% ]a oeitlcyl }bl icvcio}ceil }a
nct`l lr}le} ylzltcn y}tovy aj hl}cn jaony cem pcrlm vcvlt ctl cttce`lm cn}ltec}ln%
]bl le}otl icvcio}at ice dl tannlm cem ylcnlm oe c inoemlt%
Cy }blyl icvcio}aty aii|voly c yhcnn yvcil cem cy }bl ctl iblcv. }blyl ctl
pomln |ylm oe tcmoa ioti|o}y cem oe ncdatc}atoly
=/ Lnli}tan}oi iaemleylt 7
]boy oy hcml aj }pa Cn|hoe|h lnli}tamly movvlm oe c yan|}oae aj
chhaeo|h datc}l% Pble M%I% oy vcyylm oe}a }bl yan|}oae Cn|hoe|h aroml oy
ad}coelm ae }bl vayo}ozl lnli}taml "Ceaml/% ]boy aroml jonh aj }boikelyy aj atmlt
aj :36 ih ci}y nokl c molnli}toi%M|l }a }boy yhcnn }boikelyy. icvcio} ponn dl zlt
bo`b% Ceaml oy ael vnc}l. yan|}oae oy a}blt vnc}l cem Cn|hoe|h aroml oy
molnli}toi%
]boy icvcio}at maly ea} patk jat CI% \yoe` MI }bl ceaml Cn|hoe|h vnc}l oy
cnpcy vayo}ozl a}bltpoyl }bl aroml jonh dtlcky mape%
]blyl ctl pomln |ylm pble bo`b icvcio}ceily ctl tls|otlm% Icvcio} aj atmlt aj
936 J ice dl lcyon ad}coelm po}b lnli}tan}oi icvcio}aty aj yhcnn zan|hly%
=% Lrvncoe yltoly cem vctcnnln iahdoec}oae aj icvcio}aty% Mltozl }bl jath|nc jatls|ozcnle} icvcio}ceil oe lcib iahdoec}oae%
C% Yltoly iahdoec}oae7 Iaeyomlt }btll icvcio}aty aj icvcio}oly 3 4.I I cem 9I ctliaeeli}lm oe yltoly citayy c dc}}lt aj va}le}ocn mojjltleil Z% Nl} 3 4.Z Z cem 9Z dl
}bl va}le}ocn mojjltleil citayy }bl icvcio}aty tlyvli}ozln% Cy }bl icvcio}aty ctl oe
yltoly }bl ibct`l ce cnn icvcio}aty oy ychl cem nl} o} dl s%
3 4
3 4
;s s
Z ZI I
8 8 cem 99
sZ
I8
D|} 3 4 9Z Z Z Z 8 + +
3 4 9
s s s s
I I I I 8 + + "at/
3 4 9
3 3 3 3
I I I I 8 + +
]b|y }bl tliovtaicn aj ls|ozcnle} icvcio} oy }bl y|h aj }bl tliovtaicny aj }bl
oemozom|cn icvcio}oly%
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Vctcnnln Iahdoec}oae7
Iaeyomlt }btll icvcio}aty aj icvcio} 3 4I I cem 9I iaeeli}lm oe
vctcnnln citayy c dcnn aj va}le}ocn mojjltleil ae }bl icvcio}aty tlyvli}ozln%
Cy }bl icvcio}aty ctl iaeeli}lm vctcnnln }bl va}le}ocn mojjltleil citayy lcib
icvcio}at oy ychl cem nl} o} dl Z%
3 3 4 4;s I Z s I Z 8 8 cem 9 9s I Z8
D|} 3 4 9s s s s8 + +
3 4 9IZ I Z I Z I Z 8 + + "at/
3 4 9I I I I 8 + +
]b|y }bl ljjli}ozl icvcio} oy ls|cn }a }bl y|h aj oemozom|cn icvcio}oly%
YBAT] CEYPLT S\LY]OAEY
3% Mljoel icvcio}ceil at icvcio} aj iaem|i}at cem lrvncoe }bl vtoeiovnl aj
icvcio}at% "G|el4636/
C% Icvcio}7 ]bl icvcio} aj c iaem|i}at oy mljoelm cy }bl tc}oa aj ibct`l }a }bl
va}le}ocn ae }bl iaem|i}at "at/% O} oy c ibct`l tls|otlm }a tcoyl }bl va}le}ocn aj }bl
iaem|i}at d ael |eo}%
ct`Ib l SIcvcio} I
Va}le}ocn Z8 8
Y%O% |eo} aj icvcio} oy jctcm "J/
Vtoeiovnl aj c icvcio}at7
Iaemleylt oy c mlzoil |ylm }a y}atl c nct`l s|ce}o} aj ibct`l po}b a|}
ibce`oe` o}y va}le}ocn%
Iaeyomlt c hl}cn vnc}l C ha|e}lm ae ce oey|nc}lm dcyl cem }bl vnc}l C oy
`ozle c vayo}ozl ibct`l }onn o}y va}le}ocn dliahly hcroh|h% Oj S oy }bl ibct`l cem
Z oy }bl va}le}ocn aj }bl vnc}l }ble o}y icvcio} I oy `ozle dS
IZ
8
3s
4s
9s
3I
4I
9I
Z
+
+
+
C
+
+
+
+
+
+
+
+
+
C
+
+
+
D
+
+
+
C
+
+
+
D
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Eap cea}blt hl}cn vnc}l D pboib oy |eibct`lm oy dta|`b} elctlt }a }bl
vnc}l C% ]ble lnli}tay}c}oi oem|i}oae }ckly vncil oe D cem bleil el`c}ozl ibct`l oy
oem|ilm ae }bl elctlt jcil aj }bl vnc}l D cem vayo}ozl ibct`l oy oem|ilm ae }bl
jct}blt jcil cy ybape% Nl} Z
dl }bl va}le}ocn c} C m|l }a oem|ilm el`c}ozl
ibct`ly cem Z+
oy }bl va}le}ocn c} C m|l }a }bl oem|ilm vayo}ozl ibct`l ae D% ]bl
el} va}le}ocn c} }bl vnc}l C oy `ozle d3
Z Z Z Z +
8 +
]ba|`b oem|ilm +zl cem zl ibct`ly c} }bl vnc}l ctl ls|cn. yoeil }bl
el`c}ozl ibct`ly ctl elctlt }a }bl vnc}l C .Z Z +
5 %
3Z Z > 3
3
SI
Z8 Yoeil
3Z Z>
3I I5 %
]a tly}atl }bl oeo}ocn va}le}ocn aj }bl vnc}l C. yahl hatl ibct`l ice dl
`ozle }a o}% ]bltl d hatl ibct`l ice dl y}atlm ae C po}b a|} ibce`oe` o}y
va}le}ocn%
J|t}blt. oj }bl hl}cn vnc}l D oy lct}blm cy ybape. }bl oem|ilm }bl ibct`ly jnap }a
}bl lct}b% Bleil }bl el} va}le}ocn c} }bl vnc}l C oy `ozle d
33Z Z Z
8 Cem bleil 33Z Z>>
3333
SI
Z8 Pbltl 33I I55
C`coe }a tcoyl }bl va}le}ocn aj C }a }bl oeo}ocn zcn|l c nct`l cha|e} aj ibct`l ice
dl `ozle }a o}%
]b|y }bl icvcio} aj c iaem|i}at ice dl oeitlcylm po}ba|} ibce`oe` o}y va}le}ocn%
4% Mltozl ce lrvtlyyoae jat }bl lelt` y}atlm oe c icvcio}at% Oj c molnli}toi oy
oe}tam|ilm dl}plle }bl vnc}ly bap ponn }bl lelt` ibce`l 1
C% Lelt` y}atlm oe c iaemleylt 7
Iaeyomlt c iaemleylt aj icvcio} I pboib oy ibct`lm }a c va}le}ocn Z d `ozoe` c
ibct`l s%s
ZI
8
]bl patk mael oe oeitlcyoe` }bl ibct`l ae }bl iaemleylt d c yhcnn cha|e} ms oy
`ozle ds
mP Z msi
8 8 ms%
]bl }a}cn patk mael oe oeitlcyoe` }bl ibct`l ae }bl iaemleylt jtah 6 }a s oy `ozle
d
4 4
66
3 3 3
4 4
ss s s
P s msI I I
8 8 8
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]boy patk mael oy y}atlm cy lnli}toi va}le}ocn lelt` aj }bl iaemleylt%
443 3 3
4 4 4a
s\ I Z SZ
I 8 8 8
Ljjli} aj molnli}toi ae lelt` 7
Iaeyomlt c icvcio}at aj icvcio} aI po}b cot cy molnli}toi cem ibct`lm }a c
va}le}ocn aZ po}b }bl blnv aj c dc}}lt% Nl} }bl joecn ibct`l ae }bl icvcio}at oy as %
Pble }bl ibct`oe` dc}}lt oy moyiaeeli}lm7
Nl} }bl dc}}lt oy moyiaeeli}lm jtah }bl icvcio}at cj}lt ibct`oe` o} cem }bl
yvcil dl}plle }bl vnc}ly oy jonnlm iahvnl}ln po}b c molnli}toi aj iaey}ce} k%
Bleil }bl va}le}ocn aj }bl iaemleylt dliahly aZ
Zk
8 %
Yoeil }bl dc}}lt oy moyiaeeli}lm }bl ibct`l ae o} oy iaey}ce}% "o%l%/ %as s8
Bleil lelt` y}atlm oy
3 3 3
4 4 4
a a aa
Z s Z\ sZ s
k k8 8 8
a\\k
8 3
4a a a\ s Z
8
S
Lelt` tlm|ily d c jci}at k%
Pble }bl ibct`oe` dc}}lt iaeeli}lm%
Nl} }bl molnli}toi aj iaey}ce} k oy oe}tam|ilm dl}plle }bl vnc}ly aj }bl
iaemleylt kllvoe` }bl dc}}lt iaeeli}lm }a }bl icvcio}at% Bleil }bl ibct`l ae }bl
vnc}ly oeitlcyly }a as ks8
Yoeil }bl dc}}lt oy ea} moyiaeeli}lm. }bl va}le}ocn mojjltleil tlhcoeoe` }bl ychl%
]bl lelt` y}atlm oy `ozle d " /3 3
4 4a a a\ sZ ks Z k\ 8 8 8 a\ k\ 8
Bleil }bl lelt` oeitlcyly d c jci}at k%
9% Mltozl ce ls|c}oae jat ls|ozcnle} icvcio}ceil pble c e|hdlt aj icvcio}aty
ctl iaeeli}lm oe vctcnnln% "Hc466?/
C% Iaeyomlt }btll icvcio}aty aj icvcio} 3 4I I cem 9I iaeeli}lm oe vctcnnln
citayy c dcnn aj va}le}ocn mojjltleil ae }bl icvcio}aty tlyvli}ozln% Cy }bl
icvcio}aty ctl iaeeli}lm vctcnnln }bl va}le}ocn mojjltleil citayy lcib
icvcio}at oy ychl cem nl} o} dl Z%
3 3 4 4;s I Z s I Z 8 8 cem 9 9s I Z8
D|} 3 4 9s s s s8 + +
3 4 9IZ I Z I Z I Z 8 + + "At/
3s
4s
9s
3I
4I
9I
Z
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3 4 9I I I I 8 + +
]b|y }bl ljjli}ozl icvcio} oy ls|cn }a }bl y|h aj oemozom|cn icvcio}oly%
=% Mltozl ce ls|c}oae jat }bl ls|ozcnle} icvcio}ceil pble icvcio}aty ctl
iaeeli}lm oe yltoly%
C% Nl} }btll icvcio}aty yc 3 4.I I . cem 9I ctl iaeeli}lm oe yltoly cy ybape oe
jo`|tl% Oe yltoly iahdoec}oae. i|ttle} oe }bl ioti|o} oy iaey}ce}. Ya ychl cha|e}
aj ibct`l "S/ jnapy }bta|`b lcib icvcio}at. Va}le}ocn mtav citayy CI oy }bl y|h
aj va}le}ocn mtavy ae lcib icvcio}at 3 4 9Z Z Z Z 8 + + D|} Icvcio} .
ct`!
Ib l SI Z S I
Va}le}ocn Z8 8
3 4 9
3 4 9
! ;S S S
Z S I at Z Z cem Z I I I
8 8 8 8 Yoeil S oy iaey}ce}
]a}cn va}le}ocn 3 4 9Z Z Z Z + +
3 4 9 3 4 9
3 3 3 3S S S Sat
I I I I I I I I 8 + + 8 + +
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:% Lrvncoe }bl dlbczoat aj c molnli}toi oe ce lr}ltecn jolnm%
C% Ljjli} aj molnli}toi oe c icvcio}at7
C molnli}toi oy c yanom oey|nc}oe` hlmo|h nokl `ncyy. ldaeo}l. pcr vcvlt. hoic
vncilm oe dl}plle }bl }pa hl}cn ybll}y oe atmlt }a oeitlcyl o}y icvcio}% ]blyl ma
ea} cnnap }bl lnli}toi ibct`ly }a lcyon vcyy }bta|`b }blh%
Vanct cem eae(vanct molnli}toiy 7
Molnli}toi oy c hc}ltocn oe pboib cnn }bl lnli}taey ctl }o`b}n da|em }a }bl
e|inlo aj }bl c}ahy% ]b|y }bltl ctl ea jtll lnli}taey }a ictt }bl i|ttle}% ]bl
lnli}toicn iaem|i}ozo} aj c molnli}toi oy wlta% ]bl hanli|nly aj molnli}toi hc dl
incyyojolm cy eae vanct cem vanct%
C eae(vanct hanli|nl oy ael oe pboib }bl ile}tl aj `tczo} aj vayo}ozl
ibct`ly iaoeiomoe` po}b }bl i%`% aj el`c}ozl ibct`ly% C eae(vanct hanli|nl bcy
wlta lnli}toi movanl hahle} oe }bl cdyleil aj }bl lr}ltecn lnli}toi jolnm%
Lr7 4 4 4 4 = =. . . .B E A IA IB IIn l}i%
C vanct hanli|nl oy ael oe pboib }bl i%`% aj vayo}ozl cem el`c}ozl
ibct`ly ma ea} iaoeioml% ]bl ctl ylvctc}lm d joeo}l moy}ceily% "Pble y|ib vanct
hanli|nly ctl vncilm oe ce lr}ltecn lnli}toi jolnm. }bl jolnm }toly }a atole} }bl
vayo}ozl ibct`l ile}lty oe }bl motli}oae aj }bl jolnm cem el`c}ozl ibct`l ile}lty oe
}bl avvayo}l motli}oae/ ]bl vanct hanli|nl oy ce lnli}toi movanl cem bcy c
vlthcele} movanl hahle}%
Lr BIN. IA. 4 9.B A EB l}i%
Lnli}toi vanctowc}oae aj molnli}toi 7
Pble c molnli}toi " vanct at eae(vanct / oy vncilm oe ce lnli}toi jolnm . }ble
}bl hc}ltocn `l}y vanctowlm cem }bl el} movanl hahle} oy oem|ilm oe }bl motli}oae
aj }bl lr}ltecn jolnm%
Oj c molnli}toi yncd aj molnli}toi hc}ltocn oy vncilm oe c |eojath lnli}toi jolnm
aL dl}plle }bl vctcnnln vnc}ly aj c icvcio}at% ]ble }bl yncd dliahly lnli}toicnn
vanctowlm% ]blyl oem|ilm ibct`ly vtam|il ce lnli}toi jolnm " VL /
oeyoml }bl molnli}toi }bl avvayo}l motli}oae }a }bc} aj lr}ltecn
jolnm% Bleil }bl hc`eo}|ml aj }bl tly|n}ce} jolnm oe}leyo} po}b
oe }bl molnli}toi oy `ozle d
a VL L L8 "at/ a VL L L8
+
+
+
+
+
+
+
+
LV
L
La
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8/2/2019 Capicitors
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Pble c molnli}toi hc}ltocn oy vncilm dl}plle }bl vnc}ly aj c icvcio}at
"Kllvoe` }bl ibct`l iaey}ce}/ }bl lnli}toi jolnm cem bleil }bl va}le}ocn mlitlcyly
d c jci}at K% Bleil icvcio} oeitlcyly d c jci}at K
aL
LK
8 Cem aZ
ZK
8
a a VL
L LK
8 "at/3
3V aL LK
8
33aV
a a K
8
"at/
33v a
K
8
cem
33v as s
K
8
0% Lrvncoe }bl dlbczoat aj c hc}ltocn hcml aj eae vanct hanli|nly pble o} oy
vncilm oy ce lr}ltecn lnli}toi jolnm%
C% Y|dy}ceily pboib ma ea} cnnap }bl lnli}toi ibct`ly }a jnap }bta|`b }blh ctl
icnnlm oey|nc}aty at molnli}toiy% Cnn y|dy}ceily ctl hcml po}b hanli|nly cem }blyl
hanli|nly ctl lnli}toicnn el|}tcn% Ya }blyl hanli|nly iae}coey ls|cn cha|e} aj
vayo}ozl cem el`c}ozl ibct`ly%Oe eae vanct hanli|nly. }bl hanli|nly ponn bczl yhhl}toi moy}tod|}oae aj vayo}ozl
cem el`c}ozl ibct`ly% Ya }bl ile}tl aj vayo}ozl ibct`l iaoeiomly po}b ile}tl ajel`c}ozl ibct`l pble }bltl oy ea lr}ltecn lnli}toi jolnm%
+( +(
+( +( +(
+(
+(
6L L86L 8
"c/ "d/Molnli}toi hc}ltocny "Eae(vanct/ Pble }blyl eae vanct molnli}toi y|dy}ceily ctl vncilm oe ce lnli}toi jolnm. ibct`lvanctowc}oae }ckly vncil% o%l%. El`c}ozl ibct`ly ponn hazl elctlt }a }bl vayo}ozl
yoml aj lr}ltecn jolnm cem vayo}ozl ibct`ly ponn hazl elctlt }a el`c}ozl yoml aj
lnli}toi jolnm m|l }a c}}tci}oae% Ya }bl ile}tl aj }bl ibct`ly ponn hazl oe avvayo}lmotli}oae cy ybape oe jo`|tl% Ya lcib hanli|nl oy ycom }a dl vanctowlm%
Nl} }bl hc`eo}|ml aj lr}ltecn lnli}toi jolnm dl 6L % Cy }bl hanli|nly ctl vanctowlm
oe ce lnli}toi jolnm }ble y|tjcil ibct`l ponn mlzlnav ae lcib hanli|nl cem }blyloem|ilm ibct`ly ctl oe avvayo}l motli}oae }a }bl cvvnolm jolnm% ]blyl oem|ilm
ibct`ly ponn mlzlnav lnli}toi jolnm oe avvayo}l motli}oae% Nl} }blot hc`eo}|mldl 3L % Ya m|l }a ibct`l vanctowc}oae oe}leyo} aj lnli}toi jolnm oe c molnli}toi
tlm|ily% ]bl zcn|l aj ci}|cn oe}leyo} 6L
LK
8 yohonctn ci}|cn va}le}ocn citayy
molnli}toi 6Z
ZK
8 pbltl 6Z oy cvvnolm va}le}ocn Pble c molnli}toi oy vncilm oe celnli}toi jolnm }bl oe}leyo} aj lnli}toi jolnm cem va}le}ocn citayy }bl molnli}toi ctl
nlyy }bce }bl oe}leyo} cem va}le}ocn oe }bc} tl`oae po}ba|} molnli}toi%
ZLT_ YBAT] CEYPLT S\LY]OAEY
3% ]btll icvcio}aty aj icvcio}ceily = . : 2J J cem J ctl iaeeli}lm oevctcnnln
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c/ Pbc} oy }bl tc}oa aj ibct`ly d/ Pbc} oy }bl tc}oa aj va}le}ocn
mojjltleily1 "G|el4663/
C% c/ Oe vctcnnln iahdoec}oae va}le}ocn oy iaey}ce} cem ibct`l ibce`ly
" /}ceSS I Z oy iaey } 3 4 9 3 4 97 7 7 7S S S I I I 8
3 4 97 7 = 7 : 7 2S S S 8 3 4 97 7 4 7 9 7 =S S S 8
d/ Cy va}le}ocn oy iaey}ce} .}bl tc}oa oy 3 4 97 7 3 73 73Z Z Z 8 4% Oj }bl cdazl icvcio}aty ctl iaeeli}lm oe yltoly }ble pbc} oy }bl tc}oa aj
c/ ibct`ly d/ va}le}ocn mojjltleily1
C% c/ Oe yltoly. ychl ibct`l oy y}atlm ae cnn icvcio}aty%
Tc}oa aj ibct`ly 3 4 97 7 3 73 73S S S 8 d/
3Z
I
Tc}oa aj va}le}ocny 3 4 93 3 3
7 7 7 7 "= : 2
Z Z Z SS oy iaey}ce}/
At 3 4 93 3 3
7 7 7 7 : 7 = 7 9
4 9 =
Z Z Z 8 8 9% Pbc} bcvvley }a }bl icvcio} aj c vctcnnln vnc}l icvcio}at oj o}y tcmo|y aj
vnc}ly oy ma|dnlm1
C% Icvcio} aj vctcnnln vnc}l icvcio}at. 6C
Im
8 Pbltl C 8 Ctlc aj }bl vnc}lCtlc aj ioti|nct vnc}l. C 8 4t
446 tI I t
m
8 4
4 4
4
3 3
I t
I t 8 4
4 3
4 3 4 33 3
4
4 =
I t
t t I II t
8 8 8 Bleil icvcio} oeitlcyly d ja|t }ohly%
=% Pto}l mape }bl |yly aj icvcio}aty% "At/ iaemleylty% 1
C% c/ Oe }|eoe` ioti|o} aj tcmoa%
d/ Cy jon}lty }a y}av M%I% cem cnnap C%I%i/ ]a vtam|il y}tae` lnli}toi jolnmy po}boe c yhcnn yvcil%
m/ ]a tlm|il yvctky oe oem|i}oae iaon%
l/ ]a y}atl lelt` oe lnli}taeoi jncyb |eo}y%
\EYANZLM VTADNLHY
3% Icni|nc}l }bl icvcio} aj c vctcnnln vnc}l icvcio}at aj lcib vnc}l ctlc aj 36
ih 36 ih cem ylvctc}lm d c moy}ceil 3 hh%1
C% C 8 3636 ih4
8 36(4
h4
; m 8 3 hh 8 36(9
h ;34
6 2%2=4 36 ! jctcm hl}lt 8 6CI
m
8 34 4
33
9
2%2= 36 362%2=4 36
36I jctcm
8 8 22%=4VJ
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8/2/2019 Capicitors
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4% ]btll icvcio}aty aj icvcio}ceil 4 .=J J cem : J ctl iaeeli}lm oevctcnnln cem c vm aj 34 Z cvvnolm. Icni|nc}l ibct`l ae lcib icvcio}at%1
C% Z 8 34 Z; 3 44 ; =I J I J 8 ; 9 :I J s 8 IZ
3 3 4= ;s I Z I 8 4 4 =2s I Z I 8 ; 9 9 04s I Z I 8
9% ]pa icvcio}aty bczl c icvcio} aj 4< J pble iaeeli}lm oe vctcnnln cem
: J pble iaeeli}lm oe yltoly% Joem }blot oemozom|cn icvcio}oly%
C% 3 4 4
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8/2/2019 Capicitors
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6 6 6= 9
: ==
m
C C CI
}m }
K
8 8 8 + +
6
6
9 49
m
c
CI m
CI
m
8 8 8
" /4 4 < 36m cI I J 8 8 8 Yoeil dc}}lt oy ea} moyiaeeli}lm
c mZ Z OZ 8 Cmmo}oaecn ibct`l jnap
m c
e S S 8 " /3 36 <
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8/2/2019 Capicitors
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molnli}toi oy tlvncilm d cea}blt molnli}toi aj molnli}toi iaey}ce} "tlnc}ozl
vltho}}ozo}/ 4% Joem }bl elp lelt` y}atlm oe }bl icvcio}at%1
C% 43 33
%%%%%%%%4
L K IZ k \ 8 8
"3/
Pbltl 3
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34% ]bl vnc}ly aj c vctcnnln vnc}l icvcio}at ctl ylvctc}lm d 6%3 hh% Pbc}
yba|nm dl }bl vnc}l ctlc }a bczl c icvcio}ceil aj 4 vJ134 4 3 4
6]ckl 2%2< 36 I E h 8
Yan734 4 3 4
6 2%2< 36 I E h
8 ; m 8 6%3 hh 89
6%3 36 h
; I 8 4vJ 834
4 36 J
%
Nl} }bl ctlc aj lcib vnc}l dl C 4h
6CIm
8 at
" /" /9 3434
6
6%3 36 4 36
2%2< 36
mIC
8 8
: 444%: 36 h
8
39% C icvcio}at aj 36 J icvcio}ceil oy ibct`lm d c 34 Z dc}}lt% Pbc} oy }blhc`eo}|ml aj ibct`l ae lcib vnc}l aj }bl icvcio}at1 Elr}. }bl dc}}lt oy
iae}oe|lm oe }bl ioti|o} pbonl }bl yvcil dl}plle }bl vnc}ly aj icvcio}at oy
jonnlm po}b c molnli}toi aj molnli}toi iaey}ce} K 8 9% Eap pbc} oy }bl
hc`eo}|ml aj }bl ibct`l1
Yan7 :6 36 36 36I J J
8 8 ; Z 8 34 Z
c/ 6 6 6S I Z8 " /: :36 36 34 346 36 346I I 8 8 8 d/ Molnli}toi iaey}ce} K 8 9
Icvcio}ceil po}b molnli}toi :6 9 36 36I KI J
8 8
Cy }bl dc}}lt oy y}onn vtlyle} oe }bl ioti|o}. }bl va}le}ocn ponn ea} ibce`l cem bleil
6 34Z Z Z8 8
Ibct`l ae lcib vnc}l " /:9 36 36 34 9:6S IZ I 8 8 8 %3=% ]btll icvcio}aty aj icvcio}ceily< J . 36 J . cem 46 J ctl iaeeli}lm oe
yltoly% Icni|nc}l }bl ljjli}ozl icvcio}ceil1
Yan7 3
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jonnlm po}b c molnli}toi aj molnli}toi iaey}ce} K 8 9% Icni|nc}l }bl lelt`
y}atlm oe }bl icvcio}at jonnlm po}b molnli}toi1
Yan7 6 36I J8 ; n Z 8 34Z ; K 8 9
Cy }bl dc}}lt oy y}onn vtlyle} oe }bl ioti|o}. }bl va}le}ocn Z ponn ea} ibce`l%
Icvcio}ceil aj icvcio}at po}b molnli}toi :6 9 36 9 36 36I KI J J
8 8 8 cem
bleil. lelt` y}atlm oe icvcio}at po}b molnli}toi
43
4\ IZ8 8 " /" /: 4 : :
39 36 36 34 3< 36 3== 43:6 36
4G
8 8
32% C icvcio}at aj 36 J icvcio}ceil oy ibct`lm po}b c 34 Z dc}}lt% Eap. }bldc}}lt oy moyiaeeli}lm jtah }bl ioti|o} cem }bl yvcil dl}plle }bl vnc}ly oy
jonnlm po}b c molnli}toi aj molnli}toi iaey}ce} K 8 9% Icni|nc}l }bl lelt`
y}atlm oe }bl icvcio}at po}b molnli}toi%1
Yan7 6 36I J8 ; 6 34Z Z8 ; K 8 9
Icvcio}ceil po}b molnli}toi :6 9 36 9 36 36I KI J J
8 8 8
Eap. cy }bl dc}}lt oy moyiaeeli}lm jtah }bl ioti|o}. }bl va}le}ocn ponn mtav }a
6 34 =9
ZZ Z
K8 8 8 %
Lelt` y}atlm oe }bl icvcio}at po}b molnli}toi
" /" /4 : 4 :3 3
9 36 36 = 4=6 364 4
\ IZ G
8 8 8
CYYLYY _A\TYLNJ
3% ]bl molnli}toi y}tle`}b aj cot oy: 39 36 Zh
c} c ilt}coe vtlyy|tl% C vctcnnln
vnc}l icvcio}at po}b cot oe dl}plle }bl vnc}ly bcy c vnc}l ylvctc}oae aj 3ih%
Ice a| ibct`l }bl icvcio}at }a:9 36 Z1
Yan7 Ea% ]bltl ponn dl lnli}toicn dtlck mape4 Pble c molnli}toi oy vncilm oe lr}ltecn lnli}toi jolnm aj y}tle`}b 6L . oeyoml }bl
molnli}toi. m|l }a vanctowc}oae. cem lnli}toi jolnm aj y}tle`}b oL oy mlzlnavlm oe
c motli}oae avvayo}l }a 6L cem }bl tly|n}ce} lnli}toi jolnm oeyoml }bl molnli}toi
oy 66 3L
L L LK
8 8 Pbltl K oy }bl molnli}toi iaey}ce} aj }bl molnli}toi%
Pbc} ponn dl }bl zcn|l aj oL oe icyl aj c vltjli} iaem|i}at1
Jtah }boy tly|n}. joem }bl zcn|l aj K jat c vltjli} iaem|i}at%
Yan7 Jat c vltjli} iaem|i}at 6oL L8 cem bleil L 8 6 oeyoml% K ponn dl oejoeo} jat c
vltjli} iaem|i}at%