8/12/2019 Capacitance Theory E

1/36

VB[PK@P

"eajksbmuearpbysk`s.kj" 1

V KX J L1. KJXTNH\@XKNJ

A `apa`ktnr `aj stnrl ljlrgy kj tbl cnre nc pntljtkai ljlr gy kj aj lil` trk` cklih. Kj tbks `baptlr wl'i i

hks`uss tbl `apa`kty nc `njhu`tnrs tn bnih `bargl ajh ljlrgy.

4 . @AVA@KXAJ@L NC AJ KPNIAXLH @NJH\@XNTWblj a `njhu`tnr ks `barglh kts pntljtkai kj`rlasls. Kt ks cnujh tbat cnr aj ksniatlh `njhu`tnr (`njhu`tnr

sbnuih dl nc ckjktl hkeljsknj, sn tbat pntljtkai nc kjckjkty `aj dl assuelh tn dl zlrn) pntljtkai nc tbl

`njhu`tnr ks prnpnrtknjai tn `bargl gkvlj tn kt.

q 5 `bargl nj `njhu`tnr

Ksniatlh `njhu`tnr

q

S 5 pntljtkai nc `njhu`tnr

q S

q 5 @S

Wblrl @ ks prnpnrtknjaikty `njstajt `aiilh `apa`ktaj`l nc tbl `njhu`tnr.

4.1 Hlckjktknj nc `apa`ktaj`l ?

@apa`ktaj`l nc `njhu`tnr ks hlckjlh as `bargl rlqukrlh tn kj`rlasl tbl pntljtkai nc `njhu`tnr

dy njl ujkt.

4.4 Kepnrtajt pnkjts adnut tbl `apa`ktaj`l nc aj ksniatlh `njhu`tnr ?

(k) Kt ks a s`aiar quajtkty.

(kk) \jkt nc `apa`ktaj`l ks carah kj PK ujkts ajh kts hkeljsknjai cnreuia ks E1 I4 4 X8

(kkk) 1 Carah ? 1 Carah ks tbl `apa`ktaj`l nc a `njhu`tnr cnr wbk`b 1 `nuined `bargl kj`rlasls

pntljtkai dy 1 vnit.

1 Carah 5Snit1

@nuined1

1C 5 163 C, 1jC 5 16; C nr 1 pC 5 1614 C

(kv) @apa`ktaj`l nc aj ksniatlh `njhu`tnr hlpljhs nj cniinwkjg ca`tnrs ?

(a) Pbapl ajh skzl nc tbl `njhu`tnr ?

Nj kj`rlaskjg tbl skzl, `apa`ktaj`l kj`rlasls.

(d) Nj surrnujhkjg elhkue ?

Wktb kj`rlasl kj hklil`trk` `njstajt M, `apa`ktaj`l kj`rlasls.

(`) Vrlslj`l nc ntblr `njhu`tnrs ?

Wblj a jlutrai `njhu`tnr ks pia`lh jlar a `barglh `njhu`tnr, `apa`ktaj`l nc `njhu`tnrs

kj`rlasls.

(v) @apa`ktaj`l nc a `njhu`tnr hn jnt hlpljh nj

(a) @bargl nj tbl `njhu`tnr

(d) Vntljtkai nc tbl `njhu`tnr

(`) Vntljtkai ljlrgy nc tbl `njhu`tnr.

0 . VNXLJXKAI LJLTG[ NT PLIC LJLTG[ NC AJ KPNIAXLH @NJH\@XNTWnrm hnjl kj `bargkjg tbl `njhu`tnr tn tbl `bargl nj kt agakjst kts nwj lil`trk cklih nr tntai ljlrgy

stnrlh kj lil`trk` cklih nc `njhu`tnr ks `aiilh slic ljlrgy nr slic pntljtkai ljlrgy nc `njhu`tnr.

8/12/2019 Capacitance Theory E

2/36

VB[PK@P

"eajksbmuearpbysk`s.kj" 4

0.1 Lil`trk` pntljtkai ljlrgy (Plic Ljlrgy) ?

Wnrm hnjl kj `bargkjg tbl `njhu tnr

W 5 hq@

qq

6

5@4

q4

W 5 \ 5

@4

q4

5

4

1@S4 5

4

qS.

q 5 @bargl nj tbl `njhu`tnr

S 5 Vntljtkai nc tbl `njhu`tnr

@ 5 @apa`ktaj`l nc tbl `njhu`tnr.

0.4 Plic ljlrgy ks stnrlh kj tbl lil`trk` cklih nc tbl `njhu`tnr wktb ljlrgy hljskty (Ljlrgy plr ujkt

vniuel)

hS

h\5

4

1

6L 4 ]Xbl ljlrgy hljskty kj a elhkue ks

4

1

6

rL4 U

wblrl L ks tbl lil`trk` cklih at tbat pnkjt.

0.0 Kj `asl nc `barglh `njhu`tnr ljlrgy stnrlh ks njiy nut skhl tbl `njhu`tnr dut kj `asl nc

`barglh kjsuiatkjg eatlrkai kt ks nutskhl as wlii as kjskhl tbl kjsuiatnr.

8 . @AVA@KXAJ@L NC AJ KPNIAXLH PVBLTK@AI @NJH\@XNTXbl `apa`ktaj`l nc aj ksniatlh spblrk ai `njhu tnr nc rahkus T.

Ilt tblrl ks `bargl Q nj spblrl.

Vntljtkai S 5T

MQ

Blj`l dy cnreuia ? Q 5 @S

Q 5T

@MQ

@ 5 86T@apa`ktaj`l nc aj ksniatlh spblrk ai `njhu tnr

@ 5 86T

(k) Kc tbl elhkue arnujh tbl njhu`tnr ks va`uue nr akr.

@Sa`uue

5 86T

T 5 Tahkus nc spblrk`ai `njhu`tnr. (eay dl snikh nr bniinw.)

(kk) Kc tbl elhkue arnujh tbl njhu`tnr ks a hklil`trk nc njstajt M crne surca`l nc spblrl

tn kjckjkty.

@elhkue

5 86MT

(kkk) va``ue/akr

elhkue

@

@

5 M 5 hklil`trk `njstajt.

Lxaepil 1. Ckjh nut tbl `apa`ktaj`l nc tbl lartb > (Tahkus nc tbl lartb 5 3866 me)

Pniutknj ? @ 5 86T 5 ;

0

16;

163866

5 711C

8/12/2019 Capacitance Theory E

3/36

VB[PK@P

"eajksbmuearpbysk`s.kj" 0

8/12/2019 Capacitance Theory E

4/36

VB[PK@P

"eajksbmuearpbysk`s.kj" 8

Q1' 5

41

1

@@

@

(Q

1+ Q

4)

ajh Q4' 5

41

4

@@

@

(Q1+Q 4)

Blat inss hurkjg rlhkstrkdutknj ?

B 54

1

41

41

@@@@ (S1 S4)

4

Xbl inss nc ljlrgy ks kj tbl cnre nc Onuil blatkjg kj tbl wkrl.

Jntl ? Aiways put Q1, Q

4, S

1ajh S

4wktb skgj.

Lxaepil 4. A ajh D arl twn ksniatlh `njhu`tnrs (tbat elajs tbly arl

pia`lh at a iargl hkstaj`l crne la`b ntblr). Wblj tbly arl

onkjlh dy a `njhu`tkjg wkrl?

(k) Ckjh nut ckjai `bargls nj A ajh D >

(kk) Ckjh nut blat prnhu`lh hurkjg tbl prn`lss nc cinw nc `bargls.

(kkk) Ckjh nut `neenj pntljtkai actlr onkjkjg tbl `njhu`tnrs dy `njhu`tkjg wkrls>

Pniutknj ? (k) QA

' 530

0

(3 + 0) 5 0@

QD

' 530

3

(3 + 0) 5 3@

(kk)

B 54

1.

)C3C0(

C3.C0

.

4

4

14

5

4

1. (4

C) .

4

4

0

5

8

;

O

(kkk) S@

5C3C0

@3@0

5 1vnit.

3. @AVA@KXNT ?A `apa`ktnr nr `njhljslr `njs ksts nc twn `njhu`tnrs slparatlh dy aj kjsuiatnr nr hkli l`tr k`.

(k) Wblj uj`barglh `njhu`tnr ks drnugbt jlar tn a `barglh `njhu`tnr, tbl `bargl nj `njhu`tnrs

rleakjs sael dut kts pntljtkai hl`rlasls rlsuitkjg kj tbl kj`rlasl nc `apa`ktaj`l.

(kk) Kj `apa ktnr twn `njhu`tnrs bavl lquai dut nppnsktl `bargls.

(kkk) Xbl `njhu`tnrs arl `aiilh tbl piatls nc tbl `apa ktnr. Xbl jael nc tbl `apa`ktnr hlpljhs njtbl sbapl nc tbl `apa`ktnr.

(kv) Cnreuial rliatlh wktb `apa`ktnrs

(a) Q 5 @S

A D

+QA QD

@ 5AD

D

DA

A

SS

Q

SS

Q

S

Q

Q 5 @bargl nc pnsktkvl piatl nc `apa`ktnr.

S 5 Vntljtkai hkcclrlj`l dltwllj pnsktkvl ajh jlgatkvl piatls nc `apa`ktnr

@ 5 @apa`ktaj`l nc `apa`ktnr.

(d) Ljlrgy stnrlh kj tbl `apa`ktnr

8/12/2019 Capacitance Theory E

5/36

VB[PK@P

"eajksbmuearpbysk`s.kj"