%!PS-Adobe-2.0
%%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software
%%Title: dielectric.dvi
%%Pages: 4
%%PageOrder: Ascend
%%BoundingBox: 0 0 612 792
%%EndComments
%DVIPSWebPage: (www.radicaleye.com )
%DVIPSCommandLine: dvips -o diel.ps dielectric.dvi
%DVIPSParameters: dpi=600, compressed
%DVIPSSource: TeX output 2002.02.26:0702
%%BeginProcSet: texc.pro
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3
1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx
0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx
sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{
rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp
gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B
/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{
/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{
A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy
get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse}
ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp
fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17
{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add
chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{
1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop}
forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
%%EndProcSet
%%BeginProcSet: special.pro
%!
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
save N userdict maxlength dict begin/magscale true def normalscale
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
TR/showpage{}N/erasepage{}N/copypage{}N/p 3 def @MacSetUp}N/doclip{
psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2
roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath
moveto}N/endTexFig{end psf$SavedState restore}N/@beginspecial{SDict
begin/SpecialSave save N gsave normalscale currentpoint TR
@SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{
CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto
closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx
sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR
}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse
CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury
lineto closepath clip}if/showpage{}N/erasepage{}N/copypage{}N newpath}N
/@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{end}
repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N
/@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX
currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY
moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X
/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0
1 startangle endangle arc savematrix setmatrix}N end
%%EndProcSet
TeXDict begin 40258431 52099146 1000 600 600 (dielectric.dvi)
@start
%DVIPSBitmapFont: Fa cmti12 14.4 10
/Fa 10 120 df<0207B612F05C60DA000F0180C7FC6F48C8FC5EA34B5AA44B5AA44B5AA4
4B5AA44B5AA44A90C9FCA44A5AA44A5AA44A5AA44A5AA44A5AA44A4815031907A2190E4A
5AA2191CA24990C9123C1938A21970495A19F019E018014948150319C01807180F4948ED
1F80183F187F943801FF0049481407EF1FFE017FEC01FF007FB8FCB95A7E405278D149>
76 D<007FB500C0017FB500E00107B512C0B66C90B6FC4B6D5C000301F0C7000101F8C8
387FFC006C01C06E01C0ED1FE04A4C5E775A6C9AC7FC1D0E1D1E1D1C1D3C1D3865A2655F
525A4D7F525AEF077F52C8FC050E5E051E160E051C161E053C161C05385E17706E6117E0
64017FEC01C0515AEE0380515ADC070015074C94C9FC040E160E5E635E634C80634C133F
634B48150103035F4C150303075F93C74ACAFC150E02E0170E5D62013F5B625D624B16F0
02E15F4BEDE1C0ECE380F1E38002E7C8FC07E7CBFC02EE16F719FE02FC151F615C615C61
4A5E5C615C616DC9FC96CCFC131E181E011C161C6A5467D175>87
D97 D
101 D105
D<14FF90B5FCA31301EB00FEA4EB01FCA4EB03F8A4EB07F0A4EB0FE0A4EB1FC0A4EB3F80
A4EB7F00A413FEA4485AA4485AA4485AA4485AA4485AA4485AA4387F00301470A300FE13
E0A438FC01C0A3EB0380A2387C0700A2EA3C0E6C5AEA0FF8EA03E0185475D21E>108
D<01F8EC7F80D801FE903803FFF03B0387800F80F83B0607C01C007C000E02787F271C03
E0E0133FECE1C00018D9F3801480003801F7C7121FEB07F6007013FE5C4A143FA248485A
A25CA2484848EC7F001200A3494814FEA34C5A49C7FCA24C5AA213FE4C5AA3484891380F
E0031807A2EE1FC04848160EA2EE3F80181C485AEF0018183818304848167070136018C0
93380F018049913807070049EC03FE6CC912F8383575B342>110
D<01FCEB03FC48B490380FFF803B0387803C03C03B0707C07000E0000E9138E001F03B0C
03E1C003F8001C9038E380079138F7000F003813FE495A007016F04AEB07E0EE03C04A90
C7FCEAE00F5CA348485A1200A3495AA449C9FCA413FEA4485AA4485AA4485AA4485AA45B
5B6CCAFC2D3575B331>114 D<140E141FEC3F80A3EC7F00A414FEA4495AA4495AA4495A
A3007FB6FCB7FC7E39000FE000A2495AA4495AA449C7FCA413FEA4485AA4485AA4485AA4
484813181538A21570485A15E0A215C0EB8001EC0380A2EC0700140E000F130C5C3807C0
703803C1E06CB45AD8007EC7FC204C75CA27>116 D<011FEF01E0D97FC00238EB03F026
01E1E0027CEB07F8260380F002FE130F48486C17FC1206000E6D495A4818071903EA3801
4C48130100301800387003F81AF800E04B481478495AA3484848494814701200A2495A4C
4814E0A2495AA24C48EB01C049C7FCA301FE4AC7EA0380A3F10700484814FEA2190EA361
A26115010000600303156019E0017ED9073F5C013ED90E1F495A6D010C6D48C7FC903B0F
80180FC00E903B07E07003F03C903B01FFE001FFF8903B007F80003FC0463575B34E>
119 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fb cmmi12 12 1
/Fb 1 21 df<130E011FEC03E049EC1FF0EE3FF816E7ED01C7017E90380707F0030E13E0
92381803C04BC7FC495B4A5A4A5A0206C8FC48485A14385CEBF9C048B45A14F8ECFFC090
38F07FF03907E003FCEC00FE153F6F7E48486D7EA3170248481506A448C7EB800CA21718
A2127E173003071360ED03C048913801C1C0007C913800FF800038ED3E002F2D7BAB38>
20 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fc cmti9 9 10
/Fc 10 119 df97 D
101 D<143FECFF80903801E1C690380780EF90380F007F5B013E133F49133EA25B120115
7C485AA3484813F8A49038C001F0120FA30007EB03E0A21407A20003EB0FC0141F3801E0
3F3800F0E790387FCF80EB1F0F1300A2EC1F00A4143E1238007C5B007E13784813F8495A
387803E0383C0F80D81FFFC7FCEA07F820317CA023>103 D105 D<3903C007F03907F01FFC390C783C1E001CEB700F3818
3CC026383D801380EB7F001270137EA2137CD8E0FCEB1F00EA60F81200A24848133EA35D
485AA2EDF818161C48481438EC01F0A21670D80F8013E0166016E016C048C7EAE380ED7F
00000E143E26227AA02B>110 D<14FCEB07FF90381F078090383C01C0017813E09038F0
00F0485A000314F8485A120F4913FC121F90C7FC5A15F8007E1301A4007CEB03F012FC15
E0140715C0007C130F1580EC1F00003C131E5C6C5B000E5B380783E03803FF80D800FCC7
FC1E2278A027>I<011E137C90383F81FF903963C383809039E1C703C09039C1EC01E000
0113FCD9C3F813F0380383F014E016F8A2380707C01203120016F090380F8003A490391F
0007E0A216C0150F013E1480A2ED1F00151E017F133E5D15786E5A9038F9C3C09038F8FF
80027EC7FC91C8FC485AA4485AA4485AA3EAFFFEA225307FA027>I115 D<1306130F5BA3133EA45BA45BA2B512E0
A23801F000A4485AA4485AA4485AA448C7FCA214C014E0383E01C0A2EB0380A2003C1300
5B130EEA1C0CEA1E38EA0FF0EA03C0133079AE19>I<01F01330D803F81378D8071C13FC
EA0C1E121C0018147C1238013E133C1270A25B00E014381260C65AA21570485AA3484813
E0A3EC01C0A201C01380140315005CEBE00600015B5C3800F070EB7FE0EB1F801E227AA0
23>118 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fd cmr5 5 1
/Fd 1 49 df48
D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fe cmmi5 5 6
/Fe 6 115 df
100 D<137F3803C180380700C0000E13604813C05A38780380387FFE0000F0C7FCA41270
1440003013E0383801C0380C0F00EA07FC13127C911C>II<137013F0A213601300A7EA0F80EA19C0EA31E012611241EAC3C01203
EA0780A3EA0F001308EA1E18A21310EA1C30EA0E60EA07800D1D7D9C16>105
D<380F03F03833861C3821D81EEA61F0EAC3E013C01203A248485AA3EC7820D80F001360
14F015C0A2001EEB7180000CEB3E001B127D9125>110 D<380F03F038338C1C3821D00C
3861E01E00C3133CEBC01800031300A2485AA448C7FCA4121E120C17127D911C>114
D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Ff cmex10 10 4
/Ff 4 89 df<160F161F163E167C16F8ED01F0ED03E016C0ED0780ED0F005D153E5D1578
15F84A5A4A5AA24A5A4A5AA24AC7FC5C143E147E147C14FC5C13015C13035C13075C130F
A2495AA249C8FCA3137EA35BA3485AA312035BA312075BA3120FA25BA2121FA45B123FA6
90C9FC5AA9127E12FEB3AC127E127FA97E7FA6121F7FA4120FA27FA21207A37F1203A37F
1201A36C7EA3137EA37FA36D7EA26D7EA2130780130380130180130080147C147E143E14
3F806E7EA26E7E6E7EA26E7E6E7E1578157C818181ED0780ED03C016E0ED01F0ED00F816
7C163E161F160F28C66E823D>18 D<12E07E7E127C7E7E6C7E12076C7E6C7E7F6C7E137C
133C133E7F6D7EA26D7E6D7EA26D7E80130080147C147E143E143F8081140F81140781A2
6E7EA26E7EA36E7EA3157EA381A31680151FA316C0150FA316E0A21507A216F0A4150316
F8A6150116FCA9150016FEB3AC16FC1501A916F81503A616F01507A416E0A2150FA216C0
A3151F1680A3153F1600A3157EA35DA34A5AA34A5AA24A5AA25D140F5D141F92C7FC5C14
3E147E147C14FC5C13015C495AA2495A495AA249C8FC133E133C137C5B485A5B485A485A
120F48C9FC123E5A5A5A5A27C67D823D>I73 D<007FBE12E0BF7EA38A6C48CCFC6C6C0700806C1B07
6E07007F6C6D1A1F6C6D1A076CF401FF6E747E6C6DF33F806C6D1B0F017F1C076EF303C0
6D6C1B016D6DF200E0A26D6D1B706D6D1B306D7F1F186D6D1B006D7F147F816E7E6E7F80
826E7F6E7F80826E7F6F7E153F826F7F6F7FA26F7F6F7F6F7FA26F7F707E707EA2707F70
7F8284707F707F82A2177F715A715A60604DCDFC5F177E5F4C5A4C5A4C5A160F5F4C5A4C
CEFC167E5E4B5AA24B5A4B5A4B5A4B5A4BCFFCA2157E5D4A5A4A5A4A481B18020F1C305D
4A481B704ACF1260027E1CE04A1B010101F403C04A1B074948F30F8049481B1F49481B7F
4948F3FF00013F1B0391CE120F017EF37FFE49F203FF48481A7F4848077FB55A48BEFC66
5A5A48655ABFFC6C656D747B7F78>88 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fg cmsy7 7 1
/Fg 1 15 df<137F3801FFC0000713F0380F80F8381E003C487F0038130E487FA248EB03
80A70070EB0700A26C130E003C131E6C5B380F80F86CB45A000113C06C6CC7FC19197C9A
22>14 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fh cmbx10 10 14
/Fh 14 122 df46 D<003FB91280A4D9F800EBF003D87FC09238007FC049161F007EC7150FA2
007C1707A200781703A400F818E0481701A4C892C7FCB3AE010FB7FCA43B387DB742>84
D97 D<49B47E011F13F0017F13FC9038FF81FE3A03FE007F804848133F4848EB1FC0
484814E0150F003F15F05B127FED07F8A212FFA290B6FCA301E0C8FCA4127FA36C7E1678
121F6C6C14F816F06C6CEB03E0D801FF13076C9038C03F80013FB51200010F13FC010013
C025257DA42C>101 D<13FE12FFA412071203AFEDFF80020713E04A7F91381E07F89138
3803FC02607FECC001D9FF807FA21400A35BB3A3B5D8F87F13FCA42E3A7CB935>104
DI<13FE12FFA412071203AF92380FFFE0A4923803F8005EED0FE0ED
1F804BC7FC157E4A5AEC03F04A5A4A5A143F4A7E14FF90B57E81ECCFFC1487EC07FE496C
7E496C7F6E7FA26F7E6F7E6F7E6F7EA26F7E6F7EB5D8F01F13F8A42D3A7EB932>107
D110 D<903801FFC0010F13F8
017F13FFD9FF807F3A03FE003FE048486D7E48486D7E48486D7EA2003F81491303007F81
A300FF1680A9007F1600A3003F5D6D1307001F5DA26C6C495A6C6C495A6C6C495A6C6C6C
B45A6C6CB5C7FC011F13FC010113C029257DA430>I<49B4130F010FEBE01F013F6D5A90
38FFC07C489038001E7F4848130F48486D5A48487F121F003F805B127FA25B12FFA9127F
7FA2123FA26C6C5B120F6D5B6C6C5B6C6C133FC6EBC0F990387FFFF1011F13C101011301
90C7FCAC037F13FCA42E357DA432>113 D<90387FF0383903FFFEF84813FF381FC00F38
3F0003003E13005A157812FCA27E6C140013E06CB47E14F86C13FF6C14806C14E06C14F0
000114F86C6C13FC13039038000FFE14030070130012F0157E7EA26C147C7E6C14F89038
8001F09038F00FE090B512C000F0140038C01FF81F257DA426>115
D<131EA5133EA4137EA213FEA2120112031207001FB512E0B6FCA3D803FEC7FCB21578A8
000114F07F6CEB01E090387F83C090383FFF806D1300EB03FC1D357EB425>I<01FE147F
00FFEC7FFFA400071403000380B3A35DA300015C5D6C6C011D138090267F807913FC9038
3FFFF16D13C1010313012E257CA435>I121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fi cmsy10 10 5
/Fi 5 48 df<007FB81280B912C0A26C17803204799641>0 D<121C123E127FEAFF80A3
EA7F00123E121C0909799917>I25 D<181C181EA384A3727EA2727EA2727E
85180019788585F11F80F107C0F103F0007FBA12FCBCFCA26C19FCCCEA03F0F107C0F11F
80F11E006161611801614E5AA24E5AA24EC7FCA3181EA3181C482C7BAA53>33
D47
D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fj cmbxti10 12 11
/Fj 11 122 df97 D<4AB47E020F13E0027F13F849B57E0107EB80FE90390F
FC007F49485B90387FF003D9FFE0148048495A1480484A1300481300495C000F1407001F
5D49EB01F0003F91C8FCA25B127FA3485AA45BA61606160F007FED1F80163F003F157F6D
903801FF00001FEC07FE6C6CEB1FF83A07FE01FFF06CB612C0C692C7FC013F13F8010713
80292E75AC35>99 D<4AB47E021F13F0027F13FC49B57E0107EB80FF90391FFC007F4948
EB3F80EB7FE04948131F4816C0485B4890C7EA3F80A2485AEE7F00001F5D49495A003FEC
07FCED7FF848B65A16C093C7FC15F0D8FFF0C9FCA45BA61606007F150FEE1F80003F153F
167F6C6C903801FF00ED07FE6C6CEB1FF83A07FE01FFF06CB612C0C692C7FC013F13F801
0713802A2E75AC35>101 D105 D108
D<013FDA1FF0ECFF80D9FFE0D9FFFE010713F048D9F8039026FF801F13FC48D9FC0FDAC0
7F7F3F07E3FE1FE07FE0FF03FFD80FC3903B7F003FE3F801902683FFFCDAF7E080001F4A
ECFFC0010349038080003F4A15004B5CD83E07495C127E92C75BA24848484A48495B127C
1200A249484A484990C7FCA3505A4948495BA2505AA24948495B505AF40F801DC0494849
90C7397FF01F80A2F2FFE0F43F004849495AF3C07EA26448494948EDC1F8F27FC3F3C7F0
91C7496EB45A6C030F6F1380494B020790C7FCD80078DA03C0EC01F85A2E79AC5E>I<01
3FEC1FF0D9FFE0EBFFFE48D9F8036D7E48D9FC0F803C07E3FE1FE07FE0D80FC390387F00
3F902683FFFC80001F5C01034980003F5C5DD83E075B127E92C7FCA24848484A5A127C12
00A249484A5AA34C5B495AA24C5BA2495A4C90C7FCF001F019F8494890390FFE03F0A2EE
1FFCF007E0485B9438F80FC0A2F01F804849ED3F00040F5B18FE91C76CB45A6C6F13F049
02005BD80078033FC7FC3D2E79AC41>II<141EEC7F8014FF4913C0A3491380A4491300A4
495AA4495AA2003FB512FE4814FFB7FC15FE6C14FC39003FF800495AA4495AA4485BA448
5BA44890C7FCA4485AA2153E153F4848137EA215FCA2393FF801F8A2001FEB03F0EC07E0
EC0FC0000FEB1F80EC7F003807FFFE6C5BC613F0EB3F80204177BF26>116
DI121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fk cmti8 8 30
/Fk 30 122 df12 D<00071370380F80F8381FC1FCA4380EC0EC0000130C38018018A238030030
A200061360A24813C03818018038300300EA6006485AEA8008161474AD25>34
D<1207EA0F80EA1FC0A4120E1200A2EA0180A2EA0300A212065AA25A12705A12800A147B
8616>44 D<1238127C12FEA212FCA212700707788616>46 D<011FB612F8A2903901F800
074A1300A217781770495AA4495AA21503EE8060494848C7FCA35D90381F000E153EECFF
FEA290383E003CA2151C153C491338EE0380A29238300700491300160EA2161E4848141C
163C1638167848485C1501ED07E00007143FB75AA22D2D7AAC30>69
D<0007B712F05A9039E007E007D81F00EBC001001E16E0001C1500123C0038495AA24815
0117C0EC1F005AA2481680C7003E90C7FCA45CA45CA4495AA4495AA4495AA4495AA3131F
001FB5FCA22C2D74AC33>84 D87 D92 D97 D<13F8121FA212015BA4485AA448
5AA4380F87C0EB9FE0EBB870EBE038381FC03CEB801C141E1300123EA3143E5AA448137C
A314F8A214F0EAF00114E0387803C01480EB0700EA380EEA1C3CEA0FF8EA03E0172F78AD
21>II<157CEC0FFCA2140015F8A4EC01F0A4EC03E0A49038
0787C0EB3FE7EB7877EBE03F3901C01F801203EA0780EA0F0015005A123EA2003C133E12
7CA3485BA31530ECF870A25A13010078EBF0E01303130739380EF1C0391C3C7180380FF0
3F3903C01E001E2F78AD24>II<
EC01F0EC03F8EC070CEC0F1EEC1E3E157E143E157CEC7C381500A45CA590383FFFE0A290
3801F000A3495AA6495AA5495AA549C7FCA5133EA45BA313781238EA7CF8EAFCF0A2485A
EAF1C01261EA3F80001EC8FC1F3D81AE16>I<14FCEB03FE903807873090380E03F8EB1C
01133C137813F015F0EA01E01203A29038C003E01207A3390F8007C0A4EC0F80A3000713
1FEC3F0000035B6D5A3801C1DF3800FFBEEB3E3E1300A25CA400385B007C5BEAFC01495A
48485AD8F01FC7FCEA7FFEEA1FF01D2C7C9D21>I<131FEA03FFA2EA003F133EA45BA45B
A43801F07EEBF1FF9038F783809038FE03C0D803FC13E013F813F0A2EA07E013C0A3390F
8007C0A3EC0F80EA1F00A2EC1F001506003E140E143EA2150C48EB3C1C147CEC3C381530
48EB1C60EC0FC00070EB07801F2F7BAD24>I<1306131F1480EB3F007F130C90C7FCA9EA
03E0487EEA0C781218EA387C12301270A2485AA2EAE1F012411201485AA3485AA3EA0F83
1387EA1F07A21306EA1E0E123EEA1E1C1318EA0E30EA0FE0EA03C0112E7AAC16>I<137C
EA07FCA2120013F8A4EA01F0A4EA03E0A4EA07C0A4EA0F80A4EA1F00A4123EA45AA31330
EAF870A4EAF0E0A3EAF1C0EA7180EA3F00121E0E2F7AAD12>108
D<3B07801FC007F03B0FC07FE01FF83B18E1E0F0783C3B38F38078E01E3B30F7007DC01F
D870FEEB7F80491400A2D8E1F8137EA249137C1241D803E049133EA35F4848485AA25F18
30484848481470EE01F0A218603C1F0007C003E0E0A2933801E1C01880003E903A0F8000
E300177E001C6DC7123C341F7A9D3A>I<3907801FC0390FC07FE03918E1E0F03938F380
783930F7007CEA70FE5BA2EAE1F8A25B1241D803E05BA34A5AEA07C0A24A5A16C0D80F80
13E1EC07C1A21680D81F001383140F91380787001586003EEB038CEC01F8001C6D5A221F
7A9D28>II<90387803E09038FC0FF039018E1C3839038F301C
EC601E39070FC00E150F1480380E1F00A30004141FEA003EA449133EA3157C5B157815F8
15F00001EB01E015C09038FC0380EC07003803EE1EEBE7FCEBE1F001E0C7FC485AA4485A
A4121FEAFFF8A2202B7E9D24>I<3807803E390FC0FF803918E1C1C03938F301E0EBF603
3870FE0713FC01F813C000E1EB038049C7FCA21241EA03E0A4485AA4485AA448C8FCA412
3EA2121C1B1F7A9D1E>114 DI<
131C133EA35BA45BA4485A387FFFE0B5FC3801F000485AA4485AA4485AA448C7FCA314C0
EA3E01A3EB0380003C13005B130E5BEA1C38EA0FF0EA07C0132B7AA918>II
II<90383E01F09038FF07F83901C38E1C390303DC1E390701F8
3E000EEBF07E120C001C147C903803E03800381400A21210C6485AA4495AA3151890381F
0038A21238007C1470EAFC3F15E0484813C039F06F01803970E78700383FC3FE381F00F8
1F1F7C9D21>II E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fl cmr6 6 1
/Fl 1 50 df<13E01201120712FF12F91201B3A7487EB512C0A212217AA01E>49
D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fm cmr12 12 1
/Fm 1 46 df45 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fn cmmi7 7 14
/Fn 14 117 df<010FB5FC013F148049140048B6FC2603F03EC7FC3807C01F48C67E120E
121E5AA212381278A30070131E12F0141C0070133C5C0078137000385B383C03C0381E0F
80D80FFEC8FCEA03F8211A7D9826>27 D34 D<1238127C12FE12FFA2127F12
3B1203A31206A3120C121812381270122008127A8614>59 D99
DIII<130E131FA2131E130C90C7FCA8EA03
E0487EEA0C78EA18381230A2EA6078A212C05B1200485AA3485AA2485AEB8180A2EA0F01
EB0300A213065B131CEA07F0EA01E011287DA617>105 D<13F0EA07F813F01200A3EA01
E0A4EA03C0A4EA0780A4EA0F00A4121EA45AA45A1330A3EAF060A3EA70C01279EA3F80EA
1F000D297DA715>108 D<3907C01FC0390FE07FE03918F0E0F03930718078EB7B00D860
7E1338017C133C01781338D8C0F813785B1200A248485BA34A5AEA03C01660EC03C0A23A
07800780C0A2ED8180ED8300390F000386EC01FC00066D5A231B7D9929>110
DI<3807C03E390FE0FF803918F1C1C038307B01EB7E0338607C07A290387803
80D8C0F8C7FC5B1200A2485AA4485AA4485AA448C8FCA212061A1B7D991F>114
DI<130C131EA25BA45BA45B387FFFE0B5FC3800F00048
5AA4485AA4485AA448C7FC1460A214C0121EEB0180EB0300EA0E07EA0F0EEA07F8EA01F0
13267EA419>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fo cmmi10 10 13
/Fo 13 127 df<1338017C14F8017EEB03FC49130F153D1571EDC0F83A01F80180704AC8
FC140E5C3803F0305CEBF1C0EBF380D807FEC9FCEBFFE014FE9038E1FFC0390FC01FE0EC
07F0EC01F8A248486C7EEE0180A33B3F0001F80300A31606127E02005BA2ED7818486E5A
007CEC1FE00038EC07C029267CA430>20 D<027FB512C00103B612E05B131F4915C09026
7F81FCC7FC9038FC007E48487FEA03E00007804848805B121F48C7FCA2127EA3484AC7FC
A3153E48147EA2157C15FC5D4A5A4A5A00785C007C1307003C49C8FC6C131E000E137C38
0781F83803FFE0C66CC9FC2B257DA32F>27 D34
D<121C123E127FEAFF80A3EA7F00123E121C0909798817>58 D<150C151EA2153E153CA2
157C1578A215F815F0A2140115E0A2140315C0A214071580A2140F15005C141EA2143E14
3CA2147C1478A214F85CA213015CA213035CA213075CA2130F91C7FCA25B131EA2133E13
3CA2137C1378A213F85BA212015B12035BA212075BA2120F90C8FCA25A121EA2123E123C
A2127C1278A212F85AA212601F537BBD2A>61 D<1760177017F01601A21603A21607160F
A24C7EA216331673166316C3A2ED0183A2ED0303150683150C160115181530A21560A215
C014011580DA03007FA202061300140E140C5C021FB5FC5CA20260C7FC5C83495A8349C8
FC1306A25BA25B1338133001701680EA01F0D807F815FF267FFF80013F13FEB516FF18FE
383C7DBB3E>65 D67 D<0103B812F05B7F90260007F8C7123F4B1407F001E0A24A481400A44A5A19
C0A34A5A1730A219804AC7481300A317E002FE5C1601160F91B6FC495DA29138FC000F16
0749486DC8FCA4494801065B60A204041306494890C7FC60A2181C494815181838183018
70495A6017014D5A49C8120F173F49913803FF80007F90B7FCB9C7FCA23C397DB83D>69
D<4BB4FC031F13F09238FE01FC913903F0007EDA07C0EB1F80DA1F80EB0FC0023EC7EA07
E002FCEC03F0495A4948EC01F8495A4948EC00FC495A013F16FE49C9FC13FE187F485A12
035B12075B120F4916FF121FA2485AA34848ED01FEA448C9EA03FCA3EF07F8A218F0170F
18E0171F18C0EF3F807EEF7F0017FEDA07C05B6C90391FF001F8903980383803001F9039
600807F09139C00C0FE0D80FC0EC1F802807E1800E3FC7FCED067ED803F1EB07F8D801F9
5C3A007EC00FC0013F90387F0003903807FFFE0100138EDA000F1306170EA25FEE803CEE
C1F816FF5F5F5F8194C7FC6F5AED00F8384B7CBA42>81 D<267FFFFC91383FFFC0B5FC7E
000190C83807FC0049ED03E0715A4D5A000094C7FC5F17065FA25F6D5DA26D5D17E05F4C
5AA24CC8FC6E1306A2013F5C161C16185EA25E6E5BA2011F495A150393C9FC1506A25D6E
5AA2010F5B157015605DA2ECE18002E3CAFC14F3EB07F614FE5C5CA25C5CA26D5AA25C91
CBFC3A3B7CB830>86 D<133FEA0FFF5AA2EA007EA45BA4485AA4485AA4485A14FCEBE3FF
9038E707C0390FCC01E001D813F013F09038E000F8485A4913FCA348C7FCA4007E1301A4
48EB03F8A315F014074814E0A2EC0FC0A2EC1F8015000078133EA26C5B14F06C485A380F
07C06CB4C7FCEA01FC1E3B7CB924>98 D<163FED0FFF5DA2ED007EA416FCA4ED01F8A4ED
03F0A4ED07E0147E903803FF8790380FC1C790391F006FC0133C49133F13F84848EB1F80
485A1207485AED3F00485AA2123F90C7127E5AA300FE5CA448495A160CA3913803F018A2
127C1407020F13306C131B001E013113606C13E1260783C013C03A03FF007F80D800FCEB
1F00283B7DB92B>100 D<1504150E151F811680150716C0007FB612F0B712F8A26C15F0
C8EA1FC0ED3F00157E157C5D5D1560251271BB2A>126 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fp cmbxti10 10 35
/Fp 35 122 df<93381FFFC093B512FC030314FF923A0FF8007F80DB1FE0EB0FC04B4813
1F4B48EB3FE093C7127F5D4AEDFFC05DF07F8002031600181E95C7FC4A5AA54A5AA2013F
B712FEA25B6D5E903A001FF00007A34D5AA24A5AA24D5AA34A5A4D5AA402FF4A5A5DA34D
5AF083E04990C7FCA24CEB07C0A34948ED0F80A2DC00FE1300EFFF1EEF7F3E4948EC3FFC
715AEF07E094C8FC495AA2120F383F8FF0EA7FCF00FF5B13DF5C139FEB1F804848CBFCEA
7C3EEA3FFCEA1FF0EA07E03B4C81BA38>12 DI<147CEB
01FE497E5B1580491300A35CA3495AA35CA35C133F5CA35CA3495AA391C7FCA3137E13FE
5BA35BA35B90C8FCA7EA07C0487EEA3FF0A2487EA2485AA26C5AA2EA3F806CC8FC193B75
BA20>33 D<13F0EA03F8EA07FCEA0FFEA2121FA5120FEA03CEEA001CA21338A21370A213
E0EA01C0A2EA0380EA0700120E123C5A5A12400F1C6DB91E>39 D46
D55
D63 D<0103B712E04916FE727E19E0D90007D900037F9438007F
F8F01FFC4A486E7E1807727EA24A486E1380A21AC0A24A4880A44A485CA44A5AA260A249
491680A260A249491600A260614990C8FC4E5AA2614948153F61187F6149484B5A4D5BA2
4D90C7FC49484A5AEF1FFC4D5AEFFFE0494801035B041F90C8FCB812FC17F0178004F8C9
FC423979B849>68 D<0103B812E04917F0A3D9000790C713E0181F180F4A5A1807A34A5A
19C0A34A4813F01601A391277FF003E0138095C7FCA216074A48485A163F92B5FCA2495D
A2EDC03F161F49018090C8FCA3180F49D9003E5BA3043C133E494890C7FC60A218FC4948
5D1701601703494814074D5A171F4D5A4948EB01FF160FB95AA295C7FCA23C3979B83F>
I71 D<0103B56C49B512F0494C14F87016F0A2D900076D90390007F800
F103E0824A4C5A8215BF82DA1F1F4B5A82150F82DA3E074BC7FC6F7FA26F7F027C163E6F
7FA2707E4A5E707EA2707E49485E707EA2707E49484B5A701381A27013C14948EDE3E082
18F3177F4948EDFFC083A28349C85C83A283013E94C8FC83A283495E01FE1500B512FC18
7E187C183C4D397AB84A>78 D<923803FF80033F13F84AB512FE0207903801FF80913A1F
F8007FE0DA3FE06D7EDAFF806D7E4990C76C7E49481407D90FFC81494814034A81133F49
5A494816805A5C5A91C8FC5A5A5BA2121F495D123FA348484B1300A448484B5AA34D5AA2
6049157F6017FF605E604C5B6C7E4C90C7FC4C5A003F4B5A6D4A5A001F4B5A6C6C4A5A6D
4913802707FF800790C8FC6C9038E03FFCC690B512F0013F14C0010F49C9FC010013E039
3B72B947>I83
D97 DII<
EE0FF0ED07FFA317E0ED003FA3EE7FC0A4EEFF80A44B1300A491383FC3FE903801FFF301
0713FB90381FF07F90393FC01FFCEB7F0001FE130F120148485C12075B120F001F4A5A5B
123FA249495A127FA34848495AA449495AEE87C0A34AEB0F80A2127F4A14004A5B003FEB
0FFE3A1FC01FFF1E3A0FE0FE7F3C3A07FFF83FF80001496C5A3A007F8007E02C3B77B931
>II<167E923803FFC04B13E092380F
C3F0ED1FC792383F8FF8ED7F9FA215FF17F0EE1FE04AEB0FC0EE078093C7FCA24A5AA64A
5A011FB6128017C01780A29026000FF8C7FCA54A5AA64A5AA54A5AA54A5AA64990C8FCA4
5C1303A35C1307120F383F87F8EA7FC700FF5B13CF5C138FEB0FC048485AD87C3FC9FCEA
3FFEEA1FF8EA07E02D4C81BA21>III<143C147E14FF5BA25BA26D5A5CEB007091C7FCAB133FEBFFC0487F3803C7F0
EA0787380F07F8121F123E130F127CA2495A12F8495A1200A2495AA3495AA24890C7FCA3
485AEC0F80EA07FCA2EC1F00EA0FF8141E143EEBF03C5C12073803F1F06CB45A6C138001
3EC7FC193C79BA1E>I108 DII<
EC0FF891B5FC010314C090390FF81FF090391FE007F890397F8003FC9038FF0001484814
FE12034914FF1207485A121F5B123FA2495B127FA34848EB07FEA316FC49130F16F8A2ED
1FF016E0007F143F16C0ED7F806C6CEBFF00001F495A390FE007FC3907F81FF06CB512C0
C691C7FCEB1FF0282777A531>I<90390FC003FC903A1FF00FFF8090263FF83F13C0903A
78FCFE0FE0903AF8FFF807F0499038E003F8000102C013FC1580D803E190380001FE1603
A348485AA2EA0003A249481307A44948EB0FFCA317F84948131F17F0A2EE3FE0495AEE7F
C01780EEFF00017F5C6E485A6E485A9138FC0FF09039FFBFFFC0029F90C7FCEC87F80280
C8FC4890C9FCA4485AA4485AA2387FFFE0B57E5CA22F367EA531>I<91383F801C903901
FFE0FC010713FB90381FE0FF90393F803FF8EB7F0001FE131F1201484814F01207485AA2
001FEC3FE05B123FA249EB7FC0127FA34848EBFF80A449481300A44A5AA3007F13074A5A
003F131F381FC03F380FE0FF6CB55A6C13EF38007F0F13004A5AA44A5AA44A5AA290381F
FFFE81495B7F263677A52C>I<01FCEB7F803A01FF01FFF048018713FC3A078FCFC0FE3A
0F0FFF003F001F49137F001E4913FF003E495AD83C1F5B007C13F0A216FE3AF83FE001FC
ED00F000001500A2495AA4495AA44890C8FCA4485AA4485AA45B6C5A6C5A282779A52A>
II<14F0EB03F8130780
495AA4495AA4495AA4495AB6128015C0A21580C6EB8000A34890C7FCA4485AA4485AA448
5AA4485AEC07C0A2EC0F80EA3FE0EC1F00A2143E143C6C485A5C380FE3E06CB45A6C5BC6
48C7FC1A3778B520>I<133FD9FFC0130F486DEB1F802603C3F0EB3FC0260783F8137FEA
0F0348487E121E003EEDFF80383C0FF8127CA2484848481300A21200EB3FE04B5AEB7FC0
A34948485AA44849485A173EA392381FF07CA317F86C143F037F13F06D9038FFF1E09038
3F83E7903A1FFFC3FFC06D01811380903A01FC007E002F2779A534>I<017EEB01E09039
FF8003F000039038C007F83A07C7E00FFC260F07F013FE151F381E0FF8003E140F150739
7C1FF0031501ED00FC48485AA21200495A16F8495AA34890380001F0A3ED03E0485A16C0
15071680A2ED0F00A2151E00015C15386C6C5B90387F81E06DB45A010F5BD901FEC7FC27
2779A52C>I<013F161ED9FFC0011E133F486D013FEB7F802603C3F090397F80FFC02607
83F813FFD80F03038113E048487E001E1680003E4A5B263C0FF8153F007C171FF00FC048
4848485AA21200EB3FE04B481480EB7FC0A349484848EB1F00A3181E48494848133EA218
3C187C187818F8606C1601033F5C037F495AD97F806D485A90283FC1F3FC0FC7FC903A1F
FFE1FFFE01079038C07FFC01009038000FF03B2779A540>I<133FD9FFC0130F486DEB1F
802603C3F0EB3FC0260783F8137FEA0F0348487E121E003EEDFF80383C0FF8127CA24848
48481300A21200EB3FE04B5AEB7FC0A34948485AA44849485AA44B5AA46C4A5A157F6D13
FFEB3F836DB55A7F903801FC7F90C7FC4B5AEA03C0D80FE091C7FC486C5A5D003F495A4A
5A01E05B4A5A49485A6CC6485A260FC0FFC8FC3807FFFC6C13F0C613802A3779A52F>
121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fq cmr7 7 2
/Fq 2 50 df48 D<13381378EA01F8121F12FE12E01200B3AB487EB512F8A2
15267BA521>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fr cmti10 10 29
/Fr 29 123 df<04FFEB03F003039038E007FC923A0FC0F01E1E923A1E00783C0F923A3C
01F8783F15780403EBF87F03F814F09226F001F1133E0201D900E1131C05011300A24A48
495AA44A5A4D5AA44A5A4D5A0107B81280A3903C000F80000F80004AC748C7FCA5023E14
3EA54A5CA54A5CA5495A4C5AA4495A4C5AA44948495AA449485C160FA291C790C8FC5E39
1C1F03803A3E1E07C01E007E010F5B38FE1C1F013C5CD8FC38495A3A78700F01E0496C48
5A273FC003FFC9FC390F8000FC404C82BA33>11 D44 D59 D<0103B8FC5B7F903A000FF000034BEB007F183E181E4A5AA44A5A181CA34AC8FCEE
0380A2181802FE49C7FCA35E4948130E161E167E91B512FE495CA2ECF800167C49481338
A4494849136018E0A293386001C049481300EF0380A34948EC0700A2170E171E49C8FC5F
177C5F01FE140116070001ED7FF0B8FC5FA238397BB838>69 D<0103B5D8E00FB5128049
6E4814C004E015809026000FF0C7383FC0004B5DA34A484AC7FCA44A4814FEA44AC7485A
A402FE4A5AA449484A5AA391B7FC495EA202F8C7120FA249484A5AA449484A5AA449484A
C8FCA4494814FEA449C7485AA401FE4A5AA200011507B5D8FC03B512F0A342397BB83E>
72 D<0103B512F8A216F090390007F8005DA34A5AA44A5AA44A5AA44AC7FCA414FEA449
5AA4495AA4495AA4495AA4495AA4495AA449C8FCA25B007F13FEB5FC7E25397CB820>I<
EB01F8EB07FC90381F0E1890383C033C017813FCEBF001EA01E000035CEA07C0A2EA0F80
001F5C13005AA2003E495A127EA348495AA448495AED81C0A391381F0380A2143F147F00
78EC070014DFD83C01130E381C030F390E0E071C3907FC03F83901F001F0222677A42A>
97 D<137EEA0FFE121F120FEA007CA45BA4485AA4485AA4485AEBC1F0EBC7FCEBCE0E38
0F980701F013809038E003C013C0001F14E013801300A2123EA4481307A448EB0FC0A315
80141F5A15005C143E5CA25C00705B387801E0383803C0383C0780D81E1FC7FCEA0FFCEA
03F01B3B76B926>I<147F903803FFC0903807C1E090381F0070013C13385B4913F83801
E00100031303EA07C0000F14F090388001E0001F90C7FC90C8FC5A123E127EA35AA55AA3
1510153800781470007C14F0EC01E0003CEB03C06CEB0F00000E133E380781F83803FFE0
C690C7FC1D2677A426>I
I<147E903803FF8090380FC1C090381E00E0017C13705B485A485A485AA2484813E0121F
90380001C048EB0780EC1F00387E01FC387FFFF049C7FC007EC8FC5AA8007C1410153815
7015F0003CEB01E06CEB03C0EC0F006C133E380781F83803FFE0C690C7FC1D2677A426>
IIIII107 DIII<147F903803FFC0903807C1E090381F0070013C137849133C49133E
485A0003141E4848131F120F5B121F90C7FC48143F123E127EA348147EA3157C15FC4814
F8140115F0140315E00078EB07C0007C1480EC0F00003C131E6C5B000E13F8380783E06C
B45AC648C7FC202677A42A>I<90390F800F8090391FC03FE0903938E07070903970F0C0
389138FB803C01E0EB001E14FED801C0141F5C5CA2380381F0A3EA00014948133FA44948
137EA3167C494813FCA216F81501011F14F0ED03E0A2ED07C0013F1480ED0F00ECC01E01
3E5B90387C70F8EC3FE0EC1F8091C8FC5BA4485AA4485AA3387FFF80B5FC6C90C8FC2835
7FA42A>I<3903E003F03907F00FFC390E383C0E391C3C700F90393EE01F800038EBC03F
133F007001801300EC003E151C013E90C7FCEAE07E137CA212005BA4485AA4485AA4485A
A4485AA448C9FCA2120E212679A423>114 D<14FE903807FF8090380F03C090381C00E0
4913705B01F013F0EBE00100011303A215E00003EB01C06DC7FC6C7E13FF14F06C13FC6D
7E6D7E6D138013019038001FC0140F1407A2123C127E00FE1480A25A48EB0F0000E0130E
0060131E00705B6C5B381E03E06CB45AD801FEC7FC1C267AA422>I<1303EB0780130FA4
EB1F00A4133EA45BA2B512FC14FE14FC3800F800A3485AA4485AA4485AA4485AA448C7FC
1438A21470123EA214E014C013011480EB0300EA1E06EA0E1CEA07F8EA03E0173578B31C
>I<13F8D803FC14C0D8070EEB01E0D80E0F1303120C121C1238ED07C0485AA3D8E03EEB
0F80A3C65AED1F005BA34848133EA448485B160EA3EDF81CA31401163814030001010613
703900F00C789039783838E090393FF01FC090390FC00F80272679A42D>I<01F8130ED8
03FC131FD8070E1480D80E0F133F000C141F121C0038140FA248481307A3D8E03E1400A3
C65A150E5BA348485BA35D485AA25DA2156015E05D14015D000149C7FC5C3800F00EEB78
3CEB3FF0EB0FC0212679A426>I<01F81507D803FC903901800F80D8070E903903C01FC0
D80E0F1307000C160F121C00381607ED0F8048481503A3D8E03ED91F001380A3C65A033E
EB07005BA3484849130EA44848495BA35FA21730020114701760020314E000015E903AF0
07780180000090380E3C0390277C1C1E0FC7FC90391FF80FFC903907E003F0322679A437
>I<13F8D803FCEB0180D8070EEB03C0D80E0F1307120C121C1238ED0F80485AA3D8E03E
EB1F00A3C65A153E5BA348485BA448485BA44A5AA213C0EBE0035D14070001130F000013
1F9038F07FC0EB3FE7EB1F87EB00074A5AA292C7FC001E5B003F131E48133E143C007E5B
007C5B00705B495A38380780D81C1FC8FCEA0FFCEA03F0223679A428>121
D<903903C00380EB0FE090391FF00700EB3FF890387FFC0E9038783E1C9038F00FF8EBE0
033901C000705D49485AC7485A4AC7FC140E5CA25C5C495A495A49C8FC130E5BA249131C
5B5B48485B485A48C75AD80FF013F09038FC01E0391C1F07C038380FFFD878075BD87003
90C7FC38E001FCEB00F021267BA422>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fs cmbx12 12 34
/Fs 34 123 df35
D<157F913803FFC0020F7F91381FE0F091383F8078EC7F0002FE7F13010103141C4A131E
1307A3130FA2161C163CA25E16706E13F04B5A4B5AA20107495A6E48CBFC031E0203B512
E05D6D13F85D4B9139000FF0004BED07C06D606F4BC7FC616D6D151E61496D157C491778
902607BFFC5D90260F3FFE1401D91E1F5E013C6D4A5AD97C0F6D130701F85F00036D6D49
C8FC00076D6D5B000F6F131E48486C6D5B6E157C003F6F5B007F6E6C485ADB3FFF5B00FF
6EEB83C06F13C76FEBCF8005FFC9FC6F5B6D6D49EC01E0ED007F007F6F7E706C14036C6C
04C014C04C6D13076C6C91B56CEB0F806C6C902707F87FFCEB3F006C903C803FE01FFF01
FE000190B5D8C007EBFFFC6C6C9026FE00015C011F01F8D9003F13E001030180020390C7
FC4B477BC557>38 DI46 D50
D56 D68 D
70 DI76 D80 D83 D<003FBA12E0A49026FE000FEB800301F0EE007FD87F
C0EF1FF049170F90C71607007E1803007C1801A300781800A400F819F8481978A5C81700
B3B3A40107B8FCA445437CC24E>I<903801FFE0011F13FE017F6D7E9039FF007FE0D801
F0EB1FF0D803FC6D7E486C6D7E000F816D6D7EA283816C4881A26C5AEA00F090C7FCA415
0F021FB5FC0103B6FC011F138190387FF8013801FFC0481300485A485A485A485A127FA2
485AA35DA36C6C1306150E6C6C4913F06C6C9039387FFFC0390FFF81F000039038FFE01F
C6EC8007D90FFEC9FC322F7DAD36>97 DIIII<4AB4FC021F13C0027F13F0903901FF83F8903903FE07FC90380FFC0F90391FF81FFE
A2EB3FF0137F14E0ED0FFC01FFEB07F8ED03F0ED00C01600ABB612F8A4C601E0C7FCB3B2
007FEBFFE0A427467DC522>III<1378EA01FE487E481380A24813C0A46C
1380A26C13006C5AEA007890C7FCABEB7FC0EA7FFFA412037EB3B1B6FCA418467CC520>
I
107 DI<90277F8003FEEC07FC
B590261FFFC090383FFF80037F01F090B512E0923CF81FF801F03FF0913D81C00FFC0380
1FF80003903D830007FE06000FFC6C01865D028C6E488002986D49130702B803F08002B0
5D14F04A5DA34A5DB3A8B60081B60003B512FEA4572D7CAC5E>I<90397F8007FEB59038
1FFF80037F13E0913981F03FF0913983C01FF80003903987000FFC6C138E028C80029813
0702B88014B014F05CA35CB3A8B60083B512FEA4372D7CAC3E>II<90387F807FB53881FFC0028313F091388787F891
388E0FFC0003138C6C90389C1FFE149814B814B09138F00FFC14E0ED07F8ED01E092C7FC
A25CB3A7B612E0A4272D7DAC2E>114 D<90391FFC038090B51287000314FF3807F00338
0FC00048C7123F48141F007E140FA2150712FEA27EA26D90C7FC13E013FE387FFFF014FF
6C14C06C14F06C806C806C806C80D8003F1480010714C0EB003F1403020013E00070143F
00F0141FA26C140FA36C15C0A27EED1F807E6DEB3F0001E0137E39FDFC03FC00F8B512F0
D8F03F5B26E007FEC7FC232F7CAD2C>III119 D121 D<001FB71280A39026FC000F130001E0495A49133F495C90C7485A4B5A
003E5B5E4A5B003C5B5E4A90C7FC4A5A143FC75B4A5A4A5A5B5D495B5B5D499038000780
495A133F5C4948130F494814005A5C48495B5A5C4890C75A48485C003F5D49EB03FE4848
131FB7FCA3292C7DAB32>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Ft cmr10 10 65
/Ft 65 123 df11
DII<001C131C007E137E007F137F39FF80FF80A26D13C0007F137F
A2001C131C00001300A43901800180A33903000300A300061306485BA2485B485B002013
201A197DB92A>34 D<121C127E127FEAFF80A213C0127FA2121C1200A4EA0180A3EA0300
A312065AA25A5A12200A1979B917>39 D<146014E0EB01C0EB0380EB0700130E5B133C13
385B13F05B1201485AA2485AA348C7FCA25A121EA2123EA2123CA2127CA5127812F8B012
78127CA5123CA2123EA2121EA2121F7EA26C7EA36C7EA26C7E12007F13707F133C131C7F
7FEB0380EB01C0EB00E01460135278BD20>I<7E7E7E12707E7E7E120F7E6C7E7F12017F
6C7EA21378A37FA2133E131EA2131FA27FA21480A5130714C0B01480130FA51400A25BA2
131EA2133E133CA25BA35BA2485A5B12035B48C7FC5A120E5A5A5A5A5A5A12527BBD20>
I<15301578B3A6007FB812F8B912FCA26C17F8C80078C8FCB3A6153036367BAF41>43
D<121C127E127FEAFF80A213C0127FA2121C1200A4EA0180A3EA0300A312065AA25A5A12
200A19798817>II<121C123E127FEAFF80A3EA7F00123E121C09
09798817>I48 D<497E1307130F133FEA01FFB5FC13DFEAFE1F1200B3B3A8497E007FB5
12E0A31B3879B72A>III<15
70A215F01401A214031407A2140F141F141B14331473146314C3130114831303EB070313
06130E131C131813381330136013E013C0EA0180120313001206120E120C5A123812305A
12E0B712F8A3C73803F000AB4A7E0103B512F0A325397EB82A>I<0006140CD80780133C
9038F003F890B55A5D5D5D92C7FC14FC38067FE090C9FCABEB07F8EB1FFE9038780F8090
38E003C039078001E001007F00066D7E0004147CC8FC157EA281A31680A3123C127EB4FC
A4481500485C1260157E127000305C00385C6C495A6C495A3907800FC03903E03F806CB5
C7FC38007FFCEB1FE0213A7CB72A>II<12301238
123E003FB612E0A316C0481580A20070C7EA0300006014065DA25D485CA25DC85A4A5AA2
4AC7FC1406A25C141C141814385CA25CA21301A2495AA21307A2130FA3495AA4133FA413
7FA96DC8FC131E233B7BB82A>III<121C123E127FEAFF80A3EA
7F00123E121CC7FCB2121C123E127FEAFF80A3EA7F00123E121C092479A317>I<121C12
3E127FEAFF80A3EA7F00123E121CC7FCB2121C127E127F5A1380A2127FA2121D1201A4EA
0300A41206A25AA25A5AA21220093479A317>I<007FB812F8B912FCA26C17F8CCFCAE00
7FB812F8B912FCA26C17F836167B9F41>61 D<1538A3157CA315FEA34A7EA39138033F80
A202077FEC061FA2020E7FEC0C0FA2021C7FEC1807A202387FEC3003A202707FEC6001A2
02C07F1500A249487F82A249C76C7EA349B67EA3010CC7EA0FE0A3496E7EA3496E7EA349
6E7EA301E06E7E1201486C81D80FFC02031380B56C017F13FEA3373C7DBB3E>65
D
68 DII
I73
D75
D77
DI
II83 D<003FB812E0A3903AC003FE001F273E0001FC130348
EE01F00078160000701770A300601730A400E01738481718A4C71600B3B0EC07FF011FB6
12C0A335397DB83C>II
87 D<485B485B00061306485BA2485B485BA3485BA3485BA400CE13CE39FF80FF80A26D
13C0007F137FA2393F803F80001F131F390E000E001A1974B92A>92
D97 DIIII<147E903803FF80903807C1C090380F07E0011E13F0EB
3E0F137C13FCEC07E09038F803C0000190C7FCADB512FCA3D801F8C7FCB3AB487E387FFF
F8A31C3B7FBA19>IIII107
DI<2703F00FF0EB1FE000
FFD93FFCEB7FF8913AF03E01E07C903BF1C01F03803E3C0FF3000F86001FD803F602CC14
800307140F01FC02F814C0495CA3495CB3A4486C496CEB1FE0B500C1B50083B5FCA34025
7EA445>I<3903F00FF000FFEB3FFCECF03E9038F1C01F3A0FF3000F80D803F680150701
FC805BA35BB3A4486C497EB500C1B51280A329257EA42E>II<3903F0
1FE000FFEB7FF89038F1E07E9038F3801F3A0FF6000F80D803FCEB07C049EB03E016F049
EB01F816FC150016FEA3167E167FA8167E16FEA216FCA2ED01F8A26DEB03F016E06DEB07
C001F6EB0F8001F3EB1F009038F1E07E9038F0FFF8EC1FC091C8FCAB487EB512C0A32835
7EA42E>II<3807E01F00FFEB7FC0ECE3E09038E183F0380FE307EA03E6A29038
EC03E0EC008001F81300A35BB3A3487EB512F0A31C257EA421>II<1318A51338A31378A313
F8120112031207001FB5FCB6FCA2D801F8C7FCB215C0A90000EB018013FC137C90383E03
00EB1F06EB0FFCEB01F81A347FB220>IIIIII<003FB512FCA290388001F8393E0003F0003C1307003814E00030EB
0FC00070131F15800060EB3F005C14FE5C495AEA00035C495A130F495A5C49C7FC491306
137E5B1201485A49130E485A000F140C49131C485A003F143C90C7127C007EEB03FCB6FC
A21F247EA325>I E
%EndDVIPSBitmapFont
end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%EndSetup
%%Page: 1 1
1 0 bop 849 381 a Ft(Massac)n(h)n(usetts)26 b(Institute)j(of)e(T)-7
b(ec)n(hnology)26 b(-)h(Ph)n(ysics)g(Departmen)n(t)-9
550 y(Ph)n(ysics)f(8.02)2795 b(F)-7 b(ebruary)27 b(22,)f(2002.)1317
736 y Fs(Dielectrics)34 b(&)k(P)m(olarization)658 887
y(Some)g(notes)f(from)g(Lecture)g(#8)h(on)g(F)-9 b(rida)m(y)37
b(F)-9 b(ebruary)38 b(22.)-9 1057 y Ft(These)27 b(notes)g(do)g(not)h
(stand)f(on)h(their)f(o)n(wn;)g(they)h(should)g(b)r(e)g(\\consumed")e
(in)i(com)n(bination)e(with)j(m)n(y)e(lecture.)-9 1226
y(W)-7 b(e)28 b(discussed)f(t)n(wice)g(b)r(efore)g(that)h
(non-conductors)e(can)h(b)r(ecome)h Fr(p)l(olarize)l(d)38
b Ft(due)28 b(to)f(an)h(external)f(electric)g(\014eld.)37
b(The)-9 1326 y(\014eld)27 b(can)h Fr(induc)l(e)34 b
Ft(dip)r(oles)27 b(in)h(atoms)f(and)h(molecules;)f(the)h(stronger)d
(the)j(\014eld,)g(the)g(stronger)e(the)i(degree)f(of)-9
1426 y(p)r(olarization.)35 b(W)-7 b(e)28 b(call)f(these)h(materials)e
Fr(diele)l(ctrics)1715 1396 y Fq(1)1754 1426 y Ft(.)37
b(W)-7 b(e)28 b(exclude)f(all)h(ideal)f(conductors)f(in)i(whic)n(h)g(c)
n(harge)e Fp(\015ows)35 b Ft(in)-9 1525 y(resp)r(onse)26
b(to)i(the)g(\014eld.)37 b(What)28 b(I)f(will)h(discuss)f(no)n(w)g(is)h
(notoriously)e(confusing.)-9 1695 y Fp(Symb)-5 b(ols)34
b(without)g(arr)-5 b(ows)34 b(r)-5 b(epr)g(esent)35 b(magnitudes.)-9
1864 y Ft(T)-7 b(ak)n(e)26 b(a)h(plate)h(capacitor)e(\(conducting)i
(plates\).)36 b(W)-7 b(e)28 b(connect)g(it)g(to)f(a)g(battery)h(\(of)f
(v)n(oltage)f Fo(V)19 b Ft(\))28 b(and)g(consequen)n(tly)-9
1964 y(c)n(harge)d(the)j(plates)g(with)g(the)g(same)f(amoun)n(t)g(of)g
(c)n(harge)f(but)i(of)g(opp)r(osite)f(sign.)37 b(I)27
b(will)h(call)f(the)h(c)n(harge)e(on)h Fp(e)-5 b(ach)37
b Ft(plate)-9 2063 y Fo(Q)57 2075 y Fn(f)7 b(r)r(ee)195
2063 y Ft(,)26 b(and)g(the)h(resulting)e(surface)h(c)n(harge)e(densit)n
(y)i Fo(\033)1756 2075 y Fn(f)7 b(r)r(ee)1921 2063 y
Ft(\(this)27 b(is)f Fo(Q)2262 2075 y Fn(f)7 b(r)r(ee)2427
2063 y Ft(divided)26 b(b)n(y)g(the)g(surface)g(area)e(of)i(one)g
(plate\),)-9 2163 y(and)h(I)h(call)f(the)h(electric)f(\014eld)h(inside)
g(the)g(capacitor)e(due)h(to)h(this)g(c)n(harge,)e Fo(E)2475
2175 y Fn(f)7 b(r)r(ee)2614 2163 y Ft(.)37 b(Notice,)27
b(Giancoli,)g(on)h(page)e(625)-9 2263 y(men)n(tions)h(the)h(w)n(ords)e
(\\free)h(c)n(harge",)e(but)k(uses)e(the)h(sym)n(b)r(ols)f
Fo(Q)g Ft(and)g Fo(\033)k Ft(\(without)e(the)f(subscript)f(\\free"\).)
1038 3112 y @beginspecial 0 @llx 0 @lly 219 @urx 90 @ury
2190 @rwi @setspecial
%%BeginDocument: dielectric-f1.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: dielectric-f1.eps
%%Creator: fig2dev Version 3.2 Patchlevel 0-beta3
%%CreationDate: Sun Jan 6 18:45:28 2002
%%For: taoyue@taoyue (Tao Yue,W20-451,x3-2980,x5-9104)
%%Orientation: Portrait
%%BoundingBox: 0 0 219 90
%%Pages: 0
%%BeginSetup
%%EndSetup
%%Magnification: 1.0000
%%EndComments
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
-45.0 144.0 translate
1 -1 scale
/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/reencdict 12 dict def /ReEncode { reencdict begin
/newcodesandnames exch def /newfontname exch def /basefontname exch def
/basefontdict basefontname findfont def /newfont basefontdict maxlength dict def
basefontdict { exch dup /FID ne { dup /Encoding eq
{ exch dup length array copy newfont 3 1 roll put }
{ exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall
newfont /FontName newfontname put newcodesandnames aload pop
128 1 255 { newfont /Encoding get exch /.notdef put } for
newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat
newfontname newfont definefont pop end } def
/isovec [
8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde
8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis
8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron
8#220 /dotlessi 8#230 /oe 8#231 /OE
8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling
8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis
8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot
8#255 /endash 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus
8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph
8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine
8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf
8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute
8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring
8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute
8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute
8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve
8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply
8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex
8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave
8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring
8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute
8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute
8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve
8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide
8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex
8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def
/Times-Roman /Times-Roman-iso isovec ReEncode
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
%%EndProlog
$F2psBegin
10 setmiterlimit
n -1000 3400 m -1000 -1000 l 5400 -1000 l 5400 3400 l cp clip
0.06000 0.06000 sc
% Polyline
7.500 slw
n 1200 1200 m 3600 1200 l gs col0 s gr
% Polyline
n 1200 2100 m 3600 2100 l gs col0 s gr
% Polyline
gs clippath
1980 1503 m 1950 1623 l 1920 1503 l 1920 1665 l 1980 1665 l cp
clip
n 1950 1200 m 1950 1650 l gs col0 s gr gr
% arrowhead
n 1980 1503 m 1950 1623 l 1920 1503 l col0 s
% Polyline
n 1950 1650 m 1950 2100 l gs col0 s gr
% Polyline
[60] 0 sd
gs clippath
930 1953 m 900 2073 l 870 1953 l 870 2115 l 930 2115 l cp
870 1347 m 900 1227 l 930 1347 l 930 1185 l 870 1185 l cp
clip
n 900 1200 m 900 2100 l gs col0 s gr gr
[] 0 sd
% arrowhead
n 870 1347 m 900 1227 l 930 1347 l col0 s
% arrowhead
n 930 1953 m 900 2073 l 870 1953 l col0 s
% Polyline
gs clippath
3416 1344 m 3387 1223 l 3469 1317 l 3395 1173 l 3341 1200 l cp
clip
n 3825 1500 m 3822 1499 l 3815 1498 l 3803 1496 l 3785 1494 l 3763 1490 l
3736 1485 l 3708 1480 l 3678 1474 l 3649 1468 l 3622 1462 l
3598 1456 l 3576 1449 l 3556 1442 l 3540 1434 l 3525 1425 l
3511 1415 l 3499 1403 l 3486 1389 l 3474 1373 l 3461 1355 l
3448 1334 l 3435 1312 l 3423 1290 l 3411 1268 l 3400 1248 l
3391 1231 l 3375 1200 l gs col0 s gr gr
% arrowhead
n 3416 1344 m 3387 1223 l 3469 1317 l 3442 1331 l 3416 1344 l cp gs 0.00 setgray ef gr col0 s
% Polyline
gs clippath
3482 1995 m 3390 2077 l 3433 1961 l 3342 2096 l 3391 2129 l cp
clip
n 3825 1725 m 3822 1726 l 3815 1727 l 3803 1729 l 3786 1732 l 3766 1736 l
3742 1741 l 3718 1747 l 3695 1753 l 3672 1760 l 3652 1768 l
3633 1777 l 3616 1788 l 3600 1800 l 3587 1811 l 3574 1824 l
3561 1840 l 3546 1858 l 3530 1878 l 3513 1901 l 3495 1926 l
3476 1952 l 3457 1979 l 3439 2005 l 3423 2030 l 3408 2051 l
3396 2069 l 3375 2100 l gs col0 s gr gr
% arrowhead
n 3482 1995 m 3390 2077 l 3433 1961 l 3457 1978 l 3482 1995 l cp gs 0.00 setgray ef gr col0 s
/Times-Roman-iso ff 180.00 scf sf
750 1725 m
gs 1 -1 sc (d) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2025 1650 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2175 1050 m
gs 1 -1 sc (E = 0) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2175 2400 m
gs 1 -1 sc (E = 0) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1575 m
gs 1 -1 sc (+) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1800 m
gs 1 -1 sc (-) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1575 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1800 m
gs 1 -1 sc (s) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4170 1600 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4185 1810 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
2160 1660 m
gs 1 -1 sc (free) col0 sh gr
$F2psEnd
rs
%%EndDocument
@endspecial 1692 3497 a Fo(E)1753 3509 y Fn(f)7 b(r)r(ee)1915
3497 y Ft(=)2012 3441 y Fo(\033)2059 3453 y Fn(f)g(r)r(ee)p
2012 3478 187 4 v 2067 3554 a Fo(")2106 3566 y Fq(0)3803
3497 y Ft(\(1\))-9 3749 y(After)28 b(the)g(capacitor)e(is)h(c)n(harged)
f(up,)i Fr(I)i(disc)l(onne)l(ct)g(the)g(b)l(attery)35
b Ft(that)28 b(supplied)f(the)h(p)r(oten)n(tial)g(di\013erence)g
Fo(V)46 b Ft(b)r(et)n(w)n(een)-9 3849 y(the)28 b(plates.)36
b(The)28 b(c)n(harge)e(on)h(the)h(plates)f(is)h(no)n(w)f(\\trapp)r
(ed".)36 b(W)-7 b(e)28 b(no)n(w)e(sho)n(v)n(e)h(a)g(dielectric)g(b)r
(et)n(w)n(een)h(the)g(plates.)36 b(It)-9 3949 y(pro)r(duces)26
b(t)n(w)n(o)h(la)n(y)n(ers)f(of)h(induced)h(c)n(harge)e(on)i(the)g
(dielectric)f(\(remem)n(b)r(er)g(the)h(\\+)f Fm(-)p Ft(")g
(transparency)e(sho)n(wn)i(in)-9 4048 y(lectures\).)36
b(I)28 b(will)g(call)f(this)h(induced)g(surface)f(c)n(harge)e(densit)n
(y)j Fo(\033)2072 4060 y Fn(ind)2176 4048 y Ft(;)f(it)h(is)g(the)g
(result)f(of)h(p)r(olarization)e(of)h(the)h(dielectric)-9
4148 y(under)f(in\015uence)h(of)f(the)h(electric)g(\014eld.)37
b(The)27 b(induced)i(c)n(harge)c(is)j(often)g(called)f(\\b)r(ound)g(c)n
(harge",)f(as)h(opp)r(osed)g(to)g(the)-9 4248 y(\\free)f(c)n(harge".)
983 5163 y @beginspecial 0 @llx 0 @lly 232 @urx 90 @ury
2320 @rwi @setspecial
%%BeginDocument: dielectric-f2.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: dielectric-f2.eps
%%Creator: fig2dev Version 3.2 Patchlevel 3c
%%CreationDate: Mon Feb 25 16:55:00 2002
%%For: taoyue@taoyue (Tao Yue,W20-451,x3-2980,x5-9104)
%%BoundingBox: 0 0 232 90
%%Magnification: 1.0000
%%EndComments
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
newpath 0 90 moveto 0 0 lineto 232 0 lineto 232 90 lineto closepath clip newpath
-32.0 144.0 translate
1 -1 scale
/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/reencdict 12 dict def /ReEncode { reencdict begin
/newcodesandnames exch def /newfontname exch def /basefontname exch def
/basefontdict basefontname findfont def /newfont basefontdict maxlength dict def
basefontdict { exch dup /FID ne { dup /Encoding eq
{ exch dup length array copy newfont 3 1 roll put }
{ exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall
newfont /FontName newfontname put newcodesandnames aload pop
128 1 255 { newfont /Encoding get exch /.notdef put } for
newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat
newfontname newfont definefont pop end } def
/isovec [
8#055 /minus 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde
8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis
8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron
8#220 /dotlessi 8#230 /oe 8#231 /OE
8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling
8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis
8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot
8#255 /hyphen 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus
8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph
8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine
8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf
8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute
8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring
8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute
8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute
8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve
8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply
8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex
8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave
8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring
8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute
8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute
8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve
8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide
8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex
8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def
/Times-Roman /Times-Roman-iso isovec ReEncode
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
$F2psBegin
%%Page: 1 1
10 setmiterlimit
0.06000 0.06000 sc
%
% Fig objects follow
%
% Polyline
7.500 slw
n 1200 1200 m
3600 1200 l gs col0 s gr
% Polyline
n 1200 2100 m
3600 2100 l gs col0 s gr
% Polyline
gs clippath
1920 1665 m 1980 1665 l 1980 1513 l 1950 1633 l 1920 1513 l cp
eoclip
n 1950 1200 m
1950 1650 l gs col0 s gr gr
% arrowhead
n 1920 1513 m 1950 1633 l 1980 1513 l col0 s
% Polyline
n 1950 1650 m
1950 2100 l gs col0 s gr
% Polyline
gs clippath
2805 1635 m 2745 1635 l 2745 1787 l 2775 1667 l 2805 1787 l cp
eoclip
n 2775 1650 m
2775 2055 l gs col0 s gr gr
% arrowhead
n 2805 1787 m 2775 1667 l 2745 1787 l col0 s
% Polyline
n 2775 1305 m
2775 1650 l gs col0 s gr
% Polyline
2 slj
gs clippath
3399 1177 m 3342 1194 l 3384 1339 l 3380 1216 l 3442 1322 l cp
eoclip
n 3825 1500 m 3822 1500 l 3817 1500 l 3808 1500 l 3795 1499 l 3778 1498 l
3758 1497 l 3736 1495 l 3713 1493 l 3689 1489 l 3664 1484 l
3638 1477 l 3611 1468 l 3583 1457 l 3554 1442 l 3525 1425 l
3498 1405 l 3475 1385 l 3456 1365 l 3440 1345 l 3427 1326 l
3416 1307 l 3406 1288 l 3398 1270 l 3392 1253 l 3386 1238 l
3382 1224 l
3375 1200 l gs col0 s gr gr
% arrowhead
0 slj
n 3442 1322 m 3380 1216 l 3384 1339 l 3442 1322 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
3341 2098 m 3393 2127 l 3467 1995 l 3383 2086 l 3415 1966 l cp
eoclip
n 3825 1725 m 3823 1725 l 3820 1724 l 3815 1724 l 3806 1723 l 3796 1722 l
3783 1722 l 3769 1723 l 3753 1724 l 3736 1727 l 3718 1732 l
3699 1738 l 3677 1748 l 3654 1761 l 3628 1779 l 3600 1800 l
3575 1822 l 3552 1845 l 3530 1868 l 3510 1892 l 3492 1915 l
3475 1937 l 3460 1960 l 3445 1982 l 3431 2004 l 3419 2025 l
3407 2044 l 3397 2061 l 3389 2075 l
3375 2100 l gs col0 s gr gr
% arrowhead
0 slj
n 3415 1966 m 3383 2086 l 3467 1995 l 3415 1966 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
1504 1325 m 1466 1279 l 1350 1375 l 1462 1322 l 1389 1421 l cp
eoclip
n 975 1571 m 977 1570 l 981 1569 l 988 1567 l 999 1564 l 1012 1560 l
1028 1555 l 1046 1549 l 1066 1543 l 1086 1536 l 1108 1528 l
1132 1518 l 1157 1508 l 1184 1496 l 1214 1482 l 1245 1466 l
1275 1450 l 1304 1434 l 1329 1419 l 1351 1405 l 1371 1391 l
1389 1379 l 1405 1367 l 1421 1355 l 1434 1344 l 1446 1335 l
1456 1327 l
1474 1312 l gs col0 s gr gr
% arrowhead
0 slj
n 1389 1421 m 1462 1322 l 1350 1375 l 1389 1421 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
1458 2084 m 1507 2049 l 1419 1927 l 1465 2042 l 1370 1962 l cp
eoclip
n 975 1766 m 977 1767 l 982 1768 l 991 1770 l 1004 1772 l 1020 1776 l
1039 1781 l 1059 1787 l 1082 1793 l 1105 1800 l 1130 1808 l
1156 1818 l 1183 1829 l 1213 1842 l 1243 1858 l 1275 1875 l
1305 1893 l 1332 1911 l 1355 1929 l 1375 1945 l 1393 1961 l
1408 1975 l 1422 1990 l 1434 2003 l 1444 2016 l 1454 2028 l
1461 2037 l
1474 2055 l gs col0 s gr gr
% arrowhead
0 slj
n 1370 1962 m 1465 2042 l 1419 1927 l 1370 1962 l cp gs 0.00 setgray ef gr col0 s
/Times-Roman-iso ff 180.00 scf sf
2025 1650 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2175 1050 m
gs 1 -1 sc (E = 0) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2175 2400 m
gs 1 -1 sc (E = 0) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
2160 1660 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2850 1650 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
2985 1660 m
gs 1 -1 sc (ind) col0 sh gr
/Symbol ff 180.00 scf sf
675 1575 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
675 1800 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1575 m
gs 1 -1 sc (+) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1800 m
gs 1 -1 sc (-) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1575 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1800 m
gs 1 -1 sc (s) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4185 1600 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4185 1810 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
810 1600 m
gs 1 -1 sc (ind) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
810 1810 m
gs 1 -1 sc (ind) col0 sh gr
/Symbol ff 180.00 scf sf
540 1590 m
gs 1 -1 sc (-) col0 sh gr
/Symbol ff 180.00 scf sf
540 1815 m
gs 1 -1 sc (+) col0 sh gr
/Symbol ff 180.00 scf sf
1200 1350 m
gs 1 -1 sc (- - - - - - - - - - - - - - - -) col0 sh gr
/Symbol ff 180.00 scf sf
1200 2100 m
gs 1 -1 sc (+ + + + + + + + + + + + + + + +) col0 sh gr
$F2psEnd
rs
%%EndDocument
@endspecial -9 5201 1568 4 v 83 5255 a Fl(1)118 5278
y Fk(The)f(mole)l(cules)i(of)f(some)g(diele)l(ctrics)f(have)h(an)g
(intrinsic)f(dip)l(ole)i(moment)f(even)f(in)g(the)g(absenc)l(e)h(of)g
(an)g(external)f(ele)l(ctric)g(\014eld.)33 b(When)-9
5357 y(they)24 b(ar)l(e)h(\\exp)l(ose)l(d")g(to)f(an)h(E)g(\014eld,)g
(they)f(try)g(to)h(line)f(up)h(with)g(the)g(\014eld.)32
b(The)25 b(de)l(gr)l(e)l(e)g(of)g(suc)l(c)l(ess)g(dep)l(ends)h(on)f
(the)g(str)l(ength)f(of)h(the)f(applie)l(d)-9 5436 y(\014eld.)33
b(They)25 b(ar)l(e)h(include)l(d)h(her)l(e.)1929 5764
y Ft(1)p eop
%%Page: 2 2
2 1 bop -9 381 a Ft(The)27 b(induced)h(c)n(harges)e(pro)r(duce)h
(\\their)g(o)n(wn")g(electric)g(\014eld,)2036 360 y Fo(~)2024
381 y(E)2085 393 y Fn(ind)2188 381 y Ft(,)h(whic)n(h)f
Fp(opp)-5 b(oses)36 b Ft(the)28 b(\014eld)3163 360 y
Fo(~)3150 381 y(E)3211 393 y Fn(f)7 b(r)r(ee)3350 381
y Ft(.)1727 680 y Fo(E)1788 692 y Fn(ind)1915 680 y Ft(=)2012
623 y Fo(\033)2059 635 y Fn(ind)p 2012 661 151 4 v 2050
737 a Fo(")2089 749 y Fq(0)3803 680 y Ft(\(2\))-9 970
y(and)27 b(the)h(resulting)g Fj(net)38 b Ft(\014eld)27
b(is)1598 1304 y Fi(\000)-65 b(!)1607 1352 y Fo(E)37
b Ft(=)1792 1304 y Fi(\000)-65 b(!)1801 1352 y Fo(E)1875
1364 y Fn(f)7 b(r)r(ee)2032 1352 y Ft(+)2115 1304 y Fi(\000)-65
b(!)2124 1352 y Fo(E)2198 1364 y Fn(ind)3803 1352 y Ft(\(3\))-9
1634 y(The)27 b(magnitude)h(of)f(E)g(is)h(th)n(us)g(less)f(than)g(that)
h(of)g Fo(E)1699 1646 y Fn(f)7 b(r)r(ee)1865 1634 y Ft(\(the)29
b(electric)e(\014eld)h(has)f(b)r(ecome)g(w)n(eak)n(er\).)1629
2016 y Fo(E)h Ft(=)22 b Fo(E)1866 2028 y Fn(f)7 b(r)r(ee)2024
2016 y Fi(\000)18 b Fo(E)2168 2028 y Fn(ind)3803 2016
y Ft(\(4\))-9 2298 y(Under)27 b(\\normal")f(circumstances,)g
Fo(E)1222 2310 y Fn(ind)1349 2298 y Fi(/)d Fo(E)1498
2310 y Fn(f)7 b(r)r(ee)1664 2298 y Ft(,)28 b(th)n(us)g
Fo(E)1959 2310 y Fn(ind)2085 2298 y Ft(=)23 b Fo(bE)2270
2310 y Fn(f)7 b(r)r(ee)2408 2298 y Ft(,)28 b(where)f
Fo(b)h Ft(is)f(a)g(constan)n(t)g(whic)n(h)h(dep)r(ends)-9
2409 y(only)f(on)g(the)h(dielectric)f(substance.)37 b(Th)n(us,)1431
2361 y Fi(\000)-65 b(!)1440 2409 y Fo(E)1514 2421 y Fn(ind)1641
2409 y Ft(=)22 b Fi(\000)p Fo(b)1829 2361 y Fi(\000)-65
b(!)1837 2409 y Fo(E)1911 2421 y Fn(f)7 b(r)r(ee)2050
2409 y Ft(.)37 b(W)-7 b(e)28 b(substitute)g(this)g(in)g(eq.)37
b(\(3\),)28 b(and)f(\014nd)-9 2472 y Fi(\000)-65 b(!)-1
2520 y Fo(E)37 b Ft(=)22 b(\(1)d Fi(\000)f Fo(b)p Ft(\))428
2472 y Fi(\000)-65 b(!)436 2520 y Fo(E)510 2532 y Fn(f)7
b(r)r(ee)649 2520 y Ft(.)37 b(The)28 b(constan)n(t)f(\(1)18
b Fi(\000)g Fo(b)p Ft(\))27 b(is)h(called)f(1)p Fo(=\024)g
Ft(\()p Fo(\024)g Ft(is)h(the)g(dielectric)f(constan)n(t)g(;)h(it)g
(dep)r(ends)g(only)f(on)g(the)-9 2620 y(material)f(that)i(is)g
(inserted)f(b)r(et)n(w)n(een)h(the)f(plates\).)37 b(Th)n(us,)1732
2997 y Fi(\000)-65 b(!)1741 3046 y Fo(E)36 b Ft(=)1936
2941 y Fi(\000)-65 b(!)1944 2989 y Fo(E)2019 3001 y Fn(f)7
b(r)r(ee)p 1936 3026 222 4 v 2023 3102 a Fo(\024)3803
3046 y Ft(\(5\))-9 3351 y Fh(This)32 b(is)g(a)g(k)m(ey)h(equation.)-9
3550 y Ft(In)27 b(our)g(exp)r(erimen)n(t)h(where)f(the)h(free)f(c)n
(harge)f(w)n(as)g(trapp)r(ed)i(\(the)g(battery)f(w)n(as)g(disconnected)
g(b)r(efore)h(w)n(e)f(inserted)g(the)-9 3650 y(dielectric\),)g(the)h
(dielectric)g(material)e Fp(lower)-5 b(e)g(d)37 b Ft(the)28
b(\014eld)g(strength)f(b)n(y)g(a)g(factor)g Fo(\024)p
Ft(.)37 b(Note,)28 b(the)g(p)r(oten)n(tial)f(di\013erence)-9
3750 y(b)r(et)n(w)n(een)g(the)h(plates,)f Fo(V)19 b Ft(,)28
b(m)n(ust)g(go)e(do)n(wn)i(b)n(y)f(the)h(same)f(factor)g(as)g
Fo(d)g Ft(remains)g(unc)n(hanged)g(\()p Fo(V)47 b Fp(always)34
b Ft(equals)27 b(the)-9 3849 y(pro)r(duct)g(of)g(the)h
Fp(total)36 b Ft(E)27 b(\014eld)g(\()p Fo(E)1118 3861
y Fn(tot)1206 3849 y Ft(\))g(b)r(et)n(w)n(een)h(the)f(plates)g(and)g
(the)h(distance)f Fo(d)h Ft(b)r(et)n(w)n(een)f(the)h(plates\).)36
b Fr(However,)31 b(if)f(I)-9 3949 y(ke)l(ep)g(the)g(b)l(attery)g(c)l
(onne)l(cte)l(d)f(while)i(I)f(stick)g(the)g(diele)l(ctric)h(in,)g(the)f
(p)l(otential)g(di\013er)l(enc)l(e)h(b)l(etwe)l(en)e(the)h(plates)g(r)l
(emains)-9 4048 y(unchange)l(d;)g(thus)f(E)h(c)l(an)35
b Fp(not)g Fr(go)c(down,)f(ther)l(efor)l(e)h Fo(Q)1775
4060 y Fn(f)7 b(r)r(ee)1913 4048 y Fr(,)31 b(and)f(thus)f
Fo(E)2369 4060 y Fn(f)7 b(r)r(ee)2508 4048 y Fr(,)30
b(must)f(go)k Fp(up)7 b Ft(,)27 b(consisten)n(t)g(with)h(eq.)37
b(\(5\);)-9 4148 y(the)28 b(additional)f(c)n(harge)e(that)j(will)g
(then)g(\015o)n(w)f(to)h(the)g(plates)f(will,)h(of)f(course,)g(b)r(e)h
(deliv)n(ered)f(b)n(y)g(the)h(battery)-7 b(.)-9 4347
y(As)27 b(an)h(example,)f(if)h(I)g(use)f(glass,)f(with)i
Fo(\024)23 b Fi(\031)g Ft(5)k(\(see)h(T)-7 b(able)27
b(24.1,)f(page)h(622)f(of)i(Giancoli\),)f(the)h Fo(E)33
b Ft(\014eld)28 b(will)g(b)r(e)g(reduced)-9 4447 y(b)n(y)f(a)g(factor)g
(of)g Fi(\031)c Ft(5.)36 b(F)-7 b(or)27 b(w)n(ater,)g
Fo(\024)c Fi(\031)g Ft(80)j(\(this)i(is)g(enormous\),)f(the)h
Fo(E)k Ft(\014eld)c(will)g(b)r(e)g(reduced)f(b)n(y)h(a)f(factor)g(of)g
(80)g(\(for)-9 4547 y(ice)g(at)h Fi(\000)p Ft(40)366
4516 y Fg(\016)402 4547 y Fo(C)6 b Ft(,)28 b Fo(\024)23
b Fi(\031)g Ft(100\).)-9 4746 y(In)j(v)-5 b(acuum,)28
b(p)r(er)e(de\014nition,)i Fo(\024)22 b Ft(=)h(1)p Fo(:)p
Ft(0000000)g(exactly)-7 b(.)36 b(F)-7 b(or)26 b(most)h(gases,)e
Fo(\024)i Ft(is)f(only)h(a)f(\\hair")f(larger)g(than)i(1.000)e(whic)n
(h)-9 4845 y(means)i(that)h Fo(b)f Ft(is)g(v)n(ery)g(small,)g(and)h
(for)f(most)g(applications)g(in)h(air,)e(unless)i(stated)f(otherwise,)g
(w)n(e)g(use)h(for)f Fo(\024)g Ft(exactly)g(1.)-9 5045
y(It)g(follo)n(ws)g(from)g(the)h(ab)r(o)n(v)n(e)f(relation)f(b)r(et)n
(w)n(een)i Fo(\024)f Ft(and)h Fo(b)f Ft(that)1539 5456
y Fo(E)1600 5468 y Fn(ind)1727 5456 y Ft(=)1814 5339
y Ff(\022)1875 5456 y Ft(1)18 b Fi(\000)2031 5400 y Ft(1)p
2028 5437 48 4 v 2028 5513 a Fo(\024)2086 5339 y Ff(\023)2161
5456 y Fo(E)2222 5468 y Fn(f)7 b(r)r(ee)3803 5456 y Ft(\(6\))1929
5764 y(2)p eop
%%Page: 3 3
3 2 bop -9 381 a Ft(Since)27 b Fo(E)268 393 y Fn(ind)395
381 y Ft(=)493 346 y Fn(\033)531 355 y Fe(ind)p 493 362
133 4 v 527 409 a Fn(")558 417 y Fd(0)635 381 y Ft(,)g(and)h
Fo(E)908 393 y Fn(f)7 b(r)r(ee)1070 381 y Ft(=)1167 338
y Fn(\033)1205 347 y Fe(f)e(r)q(ee)p 1167 362 162 4 v
1216 409 a Fn(")1247 417 y Fd(0)1366 381 y Ft(\(see)28
b(eqs.)36 b(1)27 b(and)h(2\),)f(it)h(follo)n(ws)f(that)1387
769 y Fo(\033)1434 781 y Fn(ind)1560 769 y Ft(=)c Fo(b\033)1731
781 y Fn(f)7 b(r)r(ee)1893 769 y Ft(=)1980 652 y Ff(\022)2042
769 y Ft(1)18 b Fi(\000)2198 713 y Ft(1)p 2195 750 48
4 v 2195 826 a Fo(\024)2252 652 y Ff(\023)2327 769 y
Fo(\033)2374 781 y Fn(f)7 b(r)r(ee)3803 769 y Ft(\(7\))-9
1074 y Fp(Eq.)43 b(7)35 b(gives)g(us)f(the)h(magnitude)f(of)h(the)f
(induc)-5 b(e)g(d)34 b(surfac)-5 b(e)35 b(char)-5 b(ge)35
b(density)9 b Ft(,)27 b Fo(\033)2904 1086 y Fn(ind)3008
1074 y Ft(,)h(if)g Fo(\033)3182 1086 y Fn(f)7 b(r)r(ee)3321
1074 y Ft(,)28 b(and)f Fo(\024)h Ft(are)-9 1174 y(kno)n(wn.)36
b(Keep)27 b(in)h(mind)g(that)g(the)g(induced)g(c)n(harge)e(is)h
(negativ)n(e)g(\()p Fc(p)l(ositive)6 b Ft(\))28 b(near)f(the)h(plate)g
(where)f(the)h(free)f(c)n(harge)f(is)-9 1274 y(p)r(ositiv)n(e)h(\()p
Fc(ne)l(gative)6 b Ft(\);)29 b(see)e(the)h(\014gure)f(ab)r(o)n(v)n(e)f
(and)h(b)r(elo)n(w.)37 b(If)28 b(y)n(ou)e(feel)i(the)g(need)g(to)f
(express)f(the)i(di\013erence)f(in)h(sign,)f(y)n(ou)-9
1373 y(could)g(add)g(a)h(min)n(us)f(sign)g(to)h(eq.)36
b(\(7\),)28 b(but)g(I)g(don't)g(advise)f(that.)37 b(In)28
b(all)f(m)n(y)g(equations)g Fo(\033)2922 1385 y Fn(ind)3053
1373 y Ft(and)h Fo(\033)3262 1385 y Fn(f)7 b(r)r(ee)3429
1373 y Ft(represen)n(t)26 b(the)-9 1473 y(magnitude)h(of)h(the)g(c)n
(harge;)d(that)j(is)g(wh)n(y)f(m)n(y)g(\014gures)g(indicate)h
Fi(\000)p Fo(\033)2189 1485 y Fn(ind)2320 1473 y Ft(and)f
Fi(\000)p Fo(\033)2593 1485 y Fn(f)7 b(r)r(ee)2759 1473
y Ft(where)27 b(needed.)-9 1679 y Fp(Notic)-5 b(e)35
b Ft(that)28 b(for)f(v)n(ery)f(high)i(v)-5 b(alues)27
b(of)g Fo(\024)h Ft(\()p Fo(b)23 b Fi(\031)f Ft(1\),)28
b Fo(\033)1735 1691 y Fn(ind)1862 1679 y Fi(\031)22 b
Fo(\033)1996 1691 y Fn(f)7 b(r)r(ee)2135 1679 y Ft(,)28
b(and)g(the)g Fr(net)35 b Ft(surface)26 b(c)n(harge)g(densit)n(y)i(at)f
(either)-9 1795 y(plate)g(is)h(then)g Fi(\031)22 b Ft(0,)28
b(and)f(there)g(is)h Fp(almost)35 b(no)f(\014eld)h(b)-5
b(etwe)g(en)35 b(the)f(plates!)-9 1984 y(Do)-5 b(es)34
b(Gauss's)i(law)d(stil)5 b(l)34 b(hold?)44 b(Of)35 b(c)-5
b(ourse!)46 b Ft(Observ)n(e)26 b(the)i(pill)g(b)r(o)n(x)f(b)r(elo)n(w;)
h(the)f(\015at)h(top)g(and)f(b)r(ottom)h(\(eac)n(h)-9
2084 y(with)g(area)e Fo(A)p Ft(\))i(are)f(parallel)f(to)h(the)h
(plates.)-9 2273 y(The)f(in)n(tegral)g(of)g(the)h(electric)f(\015ux)h
(o)n(v)n(er)e(the)i(en)n(tire)f(surface)g(of)g(the)h(pill)g(b)r(o)n(x)f
(\()p Fp(close)-5 b(d)36 b(surfac)-5 b(e)34 b(inte)-5
b(gr)g(al)9 b Ft(\):)1439 2541 y Ff(I)1535 2606 y Fi(\000)-65
b(!)1544 2654 y Fo(E)32 b Fi(\001)1678 2605 y(\000)-42
b(!)1678 2654 y Fo(dA)24 b Ft(=)1922 2598 y(1)p 1904
2635 76 4 v 1904 2711 a Fo(")1943 2723 y Fq(0)2004 2576
y Ff(X)2138 2654 y Fo(Q)2204 2666 y Fn(enclosed)3803
2654 y Ft(\(8\))-9 2957 y(and)j Fo(Q)218 2969 y Fn(encl)368
2957 y Ft(=)c Fo(A)p Ft(\(+)p Fo(\033)662 2969 y Fn(f)7
b(r)r(ee)820 2957 y Fi(\000)18 b Fo(\033)950 2969 y Fn(ind)1053
2957 y Ft(\).)38 b(The)27 b(pill)h(b)r(o)n(x)f(con)n(tains)g(the)h
(\\free")e(c)n(harge)g(on)i(the)f(conducting)h(plate)f(and)h(the)-9
3056 y(\\induced")f(c)n(harge)e(on)j(the)g(surface)e(of)i(the)g
(dielectric;)f(b)r(oth)h(ha)n(v)n(e)f(to)g(b)r(e)h(tak)n(en)f(in)n(to)h
(accoun)n(t.)983 4058 y @beginspecial 0 @llx 0 @lly 232
@urx 98 @ury 2320 @rwi @setspecial
%%BeginDocument: dielectric-f3.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: dielectric-f3.eps
%%Creator: fig2dev Version 3.2 Patchlevel 3c
%%CreationDate: Mon Feb 25 16:55:29 2002
%%For: taoyue@taoyue (Tao Yue,W20-451,x3-2980,x5-9104)
%%BoundingBox: 0 0 232 98
%%Magnification: 1.0000
%%EndComments
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
newpath 0 98 moveto 0 0 lineto 232 0 lineto 232 98 lineto closepath clip newpath
-32.0 144.0 translate
1 -1 scale
/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/reencdict 12 dict def /ReEncode { reencdict begin
/newcodesandnames exch def /newfontname exch def /basefontname exch def
/basefontdict basefontname findfont def /newfont basefontdict maxlength dict def
basefontdict { exch dup /FID ne { dup /Encoding eq
{ exch dup length array copy newfont 3 1 roll put }
{ exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall
newfont /FontName newfontname put newcodesandnames aload pop
128 1 255 { newfont /Encoding get exch /.notdef put } for
newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat
newfontname newfont definefont pop end } def
/isovec [
8#055 /minus 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde
8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis
8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron
8#220 /dotlessi 8#230 /oe 8#231 /OE
8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling
8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis
8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot
8#255 /hyphen 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus
8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph
8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine
8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf
8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute
8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring
8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute
8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute
8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve
8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply
8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex
8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave
8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring
8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute
8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute
8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve
8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide
8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex
8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def
/Times-Roman /Times-Roman-iso isovec ReEncode
/DrawEllipse {
/endangle exch def
/startangle exch def
/yrad exch def
/xrad exch def
/y exch def
/x exch def
/savematrix mtrx currentmatrix def
x y tr xrad yrad sc 0 0 1 startangle endangle arc
closepath
savematrix setmatrix
} def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
$F2psBegin
%%Page: 1 1
10 setmiterlimit
0.06000 0.06000 sc
%
% Fig objects follow
%
/Times-Roman-iso ff 180.00 scf sf
1500 1650 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
1635 1660 m
gs 1 -1 sc (free) col0 sh gr
7.500 slw
% Ellipse
n 2362 1537 262 113 0 360 DrawEllipse gs col0 s gr
% Ellipse
n 2362 1012 262 113 0 360 DrawEllipse gs col0 s gr
% Polyline
n 1200 1200 m
3600 1200 l gs col0 s gr
% Polyline
n 1200 2100 m
3600 2100 l gs col0 s gr
% Polyline
gs clippath
1920 1665 m 1980 1665 l 1980 1513 l 1950 1633 l 1920 1513 l cp
eoclip
n 1950 1200 m
1950 1650 l gs col0 s gr gr
% arrowhead
n 1920 1513 m 1950 1633 l 1980 1513 l col0 s
% Polyline
n 1950 1650 m
1950 2100 l gs col0 s gr
% Polyline
gs clippath
2805 1635 m 2745 1635 l 2745 1787 l 2775 1667 l 2805 1787 l cp
eoclip
n 2775 1650 m
2775 2055 l gs col0 s gr gr
% arrowhead
n 2805 1787 m 2775 1667 l 2745 1787 l col0 s
% Polyline
n 2775 1305 m
2775 1650 l gs col0 s gr
% Polyline
n 2100 1050 m
2100 1500 l gs col0 s gr
% Polyline
n 2625 1575 m
2625 975 l gs col0 s gr
% Polyline
n 2325 1050 m
2025 900 l gs col0 s gr
% Polyline
gs clippath
2445 1965 m 2505 1965 l 2505 1881 l 2475 1941 l 2445 1881 l cp
eoclip
n 2475 1575 m
2475 1950 l gs col0 s gr gr
% arrowhead
n 2445 1881 m 2475 1941 l 2505 1881 l col0 s
% Polyline
gs clippath
2220 1815 m 2280 1815 l 2280 1731 l 2250 1791 l 2220 1731 l cp
eoclip
n 2250 1575 m
2250 1800 l gs col0 s gr gr
% arrowhead
n 2220 1731 m 2250 1791 l 2280 1731 l col0 s
% Polyline
gs clippath
2275 1865 m 2275 1805 l 2191 1805 l 2251 1835 l 2191 1865 l cp
eoclip
n 2030 1835 m
2260 1835 l gs col0 s gr gr
% arrowhead
n 2191 1865 m 2251 1835 l 2191 1805 l col0 s
% Polyline
2 slj
gs clippath
3399 1177 m 3342 1194 l 3384 1339 l 3380 1216 l 3442 1322 l cp
eoclip
n 3825 1500 m 3822 1500 l 3817 1500 l 3808 1500 l 3795 1499 l 3778 1498 l
3758 1497 l 3736 1495 l 3713 1493 l 3689 1489 l 3664 1484 l
3638 1477 l 3611 1468 l 3583 1457 l 3554 1442 l 3525 1425 l
3498 1405 l 3475 1385 l 3456 1365 l 3440 1345 l 3427 1326 l
3416 1307 l 3406 1288 l 3398 1270 l 3392 1253 l 3386 1238 l
3382 1224 l
3375 1200 l gs col0 s gr gr
% arrowhead
0 slj
n 3442 1322 m 3380 1216 l 3384 1339 l 3442 1322 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
3341 2098 m 3393 2127 l 3467 1995 l 3383 2086 l 3415 1966 l cp
eoclip
n 3825 1725 m 3823 1725 l 3820 1724 l 3815 1724 l 3806 1723 l 3796 1722 l
3783 1722 l 3769 1723 l 3753 1724 l 3736 1727 l 3718 1732 l
3699 1738 l 3677 1748 l 3654 1761 l 3628 1779 l 3600 1800 l
3575 1822 l 3552 1845 l 3530 1868 l 3510 1892 l 3492 1915 l
3475 1937 l 3460 1960 l 3445 1982 l 3431 2004 l 3419 2025 l
3407 2044 l 3397 2061 l 3389 2075 l
3375 2100 l gs col0 s gr gr
% arrowhead
0 slj
n 3415 1966 m 3383 2086 l 3467 1995 l 3415 1966 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
1448 1315 m 1406 1273 l 1299 1379 l 1406 1316 l 1342 1422 l cp
eoclip
n 975 1500 m 977 1500 l 982 1499 l 989 1497 l 1000 1495 l 1015 1493 l
1031 1489 l 1050 1485 l 1070 1481 l 1091 1476 l 1113 1470 l
1136 1464 l 1160 1456 l 1186 1447 l 1213 1437 l 1241 1425 l
1271 1411 l 1298 1397 l 1320 1384 l 1339 1372 l 1355 1361 l
1369 1350 l 1381 1339 l 1392 1330 l 1401 1321 l
1417 1305 l gs col0 s gr gr
% arrowhead
0 slj
n 1342 1422 m 1406 1316 l 1299 1379 l 1342 1422 l cp gs 0.00 setgray ef gr col0 s
% Polyline
2 slj
gs clippath
1450 2078 m 1494 2037 l 1390 1927 l 1451 2035 l 1346 1968 l cp
eoclip
n 971 1762 m 973 1762 l 977 1761 l 985 1761 l 995 1761 l 1008 1761 l
1023 1762 l 1041 1763 l 1059 1766 l 1080 1771 l 1104 1779 l
1131 1789 l 1162 1804 l 1196 1822 l 1223 1839 l 1249 1856 l
1274 1874 l 1297 1891 l 1318 1909 l 1338 1926 l 1357 1942 l
1375 1959 l 1392 1975 l 1407 1991 l 1422 2005 l 1434 2018 l
1445 2029 l
1462 2047 l gs col0 s gr gr
% arrowhead
0 slj
n 1346 1968 m 1451 2035 l 1390 1927 l 1346 1968 l cp gs 0.00 setgray ef gr col0 s
/Times-Roman-iso ff 180.00 scf sf
2850 1650 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
2985 1660 m
gs 1 -1 sc (ind) col0 sh gr
/Symbol ff 180.00 scf sf
675 1575 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
675 1800 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1575 m
gs 1 -1 sc (+) col0 sh gr
/Symbol ff 180.00 scf sf
3900 1800 m
gs 1 -1 sc (-) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1575 m
gs 1 -1 sc (s) col0 sh gr
/Symbol ff 180.00 scf sf
4050 1800 m
gs 1 -1 sc (s) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4185 1600 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
4185 1810 m
gs 1 -1 sc (free) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
810 1600 m
gs 1 -1 sc (ind) col0 sh gr
/Times-Roman-iso ff 120.00 scf sf
810 1810 m
gs 1 -1 sc (ind) col0 sh gr
/Symbol ff 180.00 scf sf
540 1590 m
gs 1 -1 sc (-) col0 sh gr
/Symbol ff 180.00 scf sf
540 1815 m
gs 1 -1 sc (+) col0 sh gr
/Symbol ff 180.00 scf sf
1200 1350 m
gs 1 -1 sc (- - - - - - - - - - - - - - - -) col0 sh gr
/Symbol ff 180.00 scf sf
1200 2100 m
gs 1 -1 sc (+ + + + + + + + + + + + + + + +) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
3075 2400 m
gs 1 -1 sc (E = 0) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
3075 1050 m
gs 1 -1 sc (E = 0) col0 sh gr
/Symbol ff 180.00 scf sf
1875 900 m
gs 1 -1 sc (A) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2550 1950 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman-iso ff 180.00 scf sf
2025 1990 m
gs 1 -1 sc (dA) col0 sh gr
$F2psEnd
rs
%%EndDocument
@endspecial -9 4228 a(The)f(electric)g(\014eld)h(is)g(assumed)f(to)g
(b)r(e)h(zero)f(outside)g(the)h(capacitor,)e(and)i(uniform)f(in)h(the)g
(dielectric.)37 b(A)n(t)28 b(the)g(curv)n(ed)-9 4328
y(cylindrical)e(surface,)696 4280 y Fi(\000)-65 b(!)704
4328 y Fo(E)41 b Ft(and)966 4279 y Fi(\000)-42 b(!)966
4328 y Fo(dA)28 b Ft(are)d(p)r(erp)r(endicular)i(to)f(eac)n(h)g(other,)
h(but)g(at)g(the)g(b)r(ottom)g(\015at)g(surface)f(of)h(the)g(pill)g(b)r
(o)n(x)-9 4428 y(\(area)f Fo(A)p Ft(\),)348 4379 y Fi(\000)-65
b(!)357 4428 y Fo(E)41 b Ft(and)620 4378 y Fi(\000)-42
b(!)620 4428 y Fo(dA)29 b Ft(ha)n(v)n(e)d(the)i(same)f(direction.)36
b(Th)n(us,)28 b(eq.)36 b(\(8\))28 b(b)r(ecomes:)1486
4806 y Fo(E)5 b(A)24 b Ft(=)1752 4749 y(1)p 1735 4786
V 1735 4862 a Fo(")1774 4874 y Fq(0)1835 4806 y Ft(\()p
Fo(\033)1914 4818 y Fn(f)7 b(r)r(ee)2072 4806 y Fi(\000)18
b Fo(\033)2202 4818 y Fn(ind)2305 4806 y Ft(\))d Fo(A)1389
b Ft(\(9\))-9 5106 y(Using)27 b(eq.)37 b(\(7\),)27 b(I)h(can)f
(eliminate)h Fo(\033)1138 5118 y Fn(ind)1242 5106 y Ft(,)f(and)h
(\014nd:)1593 5487 y Fo(E)g Ft(=)1780 5431 y Fo(\033)1827
5443 y Fn(f)7 b(r)r(ee)p 1780 5468 187 4 v 1811 5544
a Fo(\024")1898 5556 y Fq(0)1999 5487 y Ft(=)2097 5431
y Fo(E)2158 5443 y Fn(f)g(r)r(ee)p 2097 5468 200 4 v
2173 5544 a Fo(\024)3762 5487 y Ft(\(10\))1929 5764 y(3)p
eop
%%Page: 4 4
4 3 bop -9 381 a Ft(This)27 b(is)h(exactly)f(what)g(w)n(e)g(found)h(ab)
r(o)n(v)n(e)f(\(eq.)36 b(5\).)-9 580 y(It)27 b(simpli\014es)h(matters)f
(to)h(mo)r(dify)g(eq.)36 b(\(8\))28 b(and)g(replace)e(the)i
Fp(enclose)-5 b(d)38 b Ft(c)n(harge)26 b(\(whic)n(h)h(includes)h(b)r
(oth)g(the)g(induced)-9 680 y(and)f(the)h(free)f(c)n(harge\))f(b)n(y)i
(the)g Fp(fr)-5 b(e)g(e)35 b(char)-5 b(ge)35 b Ft(only:)1337
970 y Ff(I)1434 1035 y Fi(\000)-65 b(!)1443 1083 y Fo(E)32
b Fi(\001)1577 1034 y(\000)-42 b(!)1577 1083 y Fo(dA)24
b Ft(=)1845 1027 y(1)p 1803 1064 124 4 v 1803 1140 a
Fo(\024")1890 1152 y Fq(0)1951 1004 y Ff(X)2085 1083
y Fo(Q)2151 1095 y Fn(enclosed;f)7 b(r)r(ee)3762 1083
y Ft(\(11\))-9 1415 y(whic)n(h)27 b(is)h Fs(Gauss's)39
b(la)m(w)d(for)i(dielectrics)p Ft(.)-9 1614 y(Notice)27
b(that)h(eqs.)36 b(\(5\),)28 b(\(10\))g(and)f(\(11\))g(do)h(not)f
(explicitly)h(con)n(tain)f(the)h(induced)g(surface)f(c)n(harge)e
(densit)n(y)j Fo(\033)3515 1626 y Fn(ind)3646 1614 y
Ft(\(i.e.)-9 1714 y(the)g(p)r(olarization)e(c)n(harge\);)g(they)i(only)
f(con)n(tain)g(the)h(surface)e(c)n(harge)g(densit)n(y)i(on)f(the)h
(conducting)f(plate)h(\(i.e.,)g(the)-9 1813 y(\\free")e(c)n(harge\).)-9
2029 y Fs(The)37 b Fb(\024)h Fs(tak)m(es)g(the)f(induced)g(c)m(harge)29
b Fj(automatic)-6 b(al)6 b(ly)37 b Fs(in)m(to)g(accoun)m(t.)-9
2339 y Fa(Walter)k(L)-6 b(ewin)1929 5764 y Ft(4)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if%%EOF