4
f~ J, ./ (,:t. Ell'.' "" (fI#t:W~/l(J) ( ) . ,,\" r J ) f J" +, J:.t+, EJcA""P"E pArE"': , . , . P;" ( "!-) pJ (t- p),a.-J .)=L J Fol. f~(.' 1\fr- . . ~ ' . . 1;/ J- '1;+1 I' '/ Psbf 7i. ('~),o1.(,-p)IO = '"f,?. il" t.l.., '1 -" .. , fi~ Lv (.('- f (t./-€I:.:T(" f.I CcPIIVf " ""ottc TtfA; .tfl'" PI!,*IA'T~r F.1t. CA""S£I THfC ;\ j ('v~ r' 31.5 -) 7-S"" F,<j ',1 ..,...~.. p S 2.~ €)'A""l{; .r:1. ' vs "',Jco'~t> p~ , 70 1. = -,.1"'" "0 (l.: .,. .,o~ . pJ IA,-c...f,o "l'T "'SJAr€ Ie:" c..oOf'O (1"\ Lc):: ('fJ It) (0.£ T\fAT"' toll (Uc.T/ A~~ ) . S ",(' c.f' e Il to If.. f~ T"'4i ,t . 9'T e~ c... " p ~'" , = .ll cb = .!.!. (f:".~(lrv ",. ~~coDt!- 4',r J ,s- 'S" "'~h_~" CASE' " < f\ ( t/\. " f ) p) l,-_)"-) .., J= (0..., } ... " . . 1/" " J= , . = £u (11)p'j(,-~)It.)- ( " ) /jO(,.p)II )=0 I 0 ""', "- 'I - . - (f- p) (o(t~Ecr (t~. 'teo. '" ,.. ( 'f' ) ) 't'. j J='l. J Ie. rc (MA",",C"'- (o~ 0 81T "AT'« ' (t( ::~ 'f 100 = &$'t~ " fc ':: $ J1.~C 1:;: ~j.s' =.-J ,&,y:sn6' '::'.1('.-' c. - ( I .r ) ( ) I J - 6 <.: ... _.. -/-1 - -

J, - UVic.capeterd/45003/Elec450Notes1-16.pdf · f~./ J,,noB A ',e. 'TV 0 t: (Jo(l f) (i1.'o/t (,:t. Ell'.' "" (fI#t:W~/l(J) IF (.0 tit: c.A ~ it (l E c.f'""., To = I R..,.S T'toC(~

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Page 1: J, - UVic.capeterd/45003/Elec450Notes1-16.pdf · f~./ J,,noB A ',e. 'TV 0 t: (Jo(l f) (i1.'o/t (,:t. Ell'.' "" (fI#t:W~/l(J) IF (.0 tit: c.A ~ it (l E c.f'""., To = I R..,.S T'toC(~

f~J,./

,noBA',e.'TV0t:(Jo(lf)(i1.'o/t

(,:t. Ell'.' "" (fI#t:W~/l(J)

IF(.0tit:c.A~(.0it(lEc.f'"".,To~=IER.(l.,.ST'toC(~~ft

(). ,,\" r

,f",::..~~"

J ) f (,-,0)-J=~t'(,,)'t),J" +, J:.t+,

FoltTICe EJcA""P"E o~Tf(~PIlE",J

pArE"': I~

, . , .P;" =.~ ( "!-) pJ (t- p),a.-J

.)=L J

~{':')P'&..(f-p)'O

Fol. f~(.' 1\fr-

P«'o8A8u.'T'fQFP,rE/l.~~P(T~)rr,oV3)('~

.

';~~~,~,)r(,,)'p)e~nC~"ol-'

.

~'..

1;/ J- '1;+1 I' '/fo(lTK~~AI'Pl./(

Psbf 7i. ('~),o1.(,-p)IO = '"f,?.il"

t.l.., '1 -" .. , fi~ Lv (.('- f ~J~~~f?-"").~Clt(t./-€I:.:T(" f.I CcPIIVf "

PttltFoIt,..,."c~,",,'Ctotl"""{;,T'ow~TOft{l.lg(t(0(titE'T&0,""

""ottc TtfA; .tfl'" PI!,*IA'T~r F.1t.

T~£pec~.~#IEkr't(J~~0,.,-

CA""S£I (JV THfC {l.fCllA,*,oA/IICY~

;\

j~

('v~ r' 31.5 -) 7-S"" F,<j ',1

..,...~.. p S 2.~

€)'A""l{; .r:1.

'

CoO(D vs "',Jco'~t> p~,70

OPSIe

1. = -,.1"'""0

(l.: .,. .,o~ . pJ~

IA,-c...f,o "l'T "'SJAr€ Ie:"

c..oOf'O (1"\ Lc):: ('fJ It) (0.£ T\fAT"' toll (Uc.T/ A~~) .S ",(' c.f' e Il to If.. f~ T"'4i ,t . 9'T e~ c...

"

p ~'" ,£01"\AftCr-~&.fIr.,p"",WIT"(o".sTA"~S€c,:-t!I¥"E(H"I".,toll.'8,T'

= .ll cb = .!.!. (f:".~(lrv ",. ~~coDt!- 4',r J,s- 'S"

"'~h_~" CASE' -E::'01".cU~tl~oct.',c.TtON" < f\

(t/\. "

f :'.~.) p) l,-_)"-)

.., J=(0..., } ... " .==~"("\"J(I-p)",.j. . 1/" "

J = , .

= £u (11)p'j(,-~)It.)- (") /jO(,.p)II

)=0 I 0 ""', "-'I - .

- (f- p)L,,~ProbA~"g,uA~

(o(t~Ecr

PI#.~6J'LE~/~.-Y~CIJJ~SI=<IiJ2,CfH'"

(t~. 'teo.'" ,..

~0I')Et>(ASft:.,1\:;IS'=-"-2.",..P,..Co=.tfr

('f' ) ~j('-:-12 )

't'. jJ='l. J Ie. rc

(MA",",C"'- (o~ 0 81T "AT'« ' (t( ::~ 'f 100 = &$'t~"

fc ':: $ J1.~C 1:;: ~j.s' =.-J ,&,y:sn6' '::'.1('.-'~oRc,l.,ryr

c. - ( I .r)~

( ) I J - 6 <.:P

...

f,..=1.Pc.I-Pc=',1¥IG~

_..

-/-1--

Page 2: J, - UVic.capeterd/45003/Elec450Notes1-16.pdf · f~./ J,,noB A ',e. 'TV 0 t: (Jo(l f) (i1.'o/t (,:t. Ell'.' "" (fI#t:W~/l(J) IF (.0 tit: c.A ~ it (l E c.f'""., To = I R..,.S T'toC(~

' I"';T...",sFAP.w~+<A"E

c~lIj.#,Ri.

(t~'TA~r"""A" CO().JPA(I'TV 'o~E$ A~#

rJff:~. A(l.f f/'lAIIY OTlo(iR TVPEJ .(1

nc..Uc coJlet "..,C'...",~"r

- c.,,~"A /l O...c.CIc coJl.S (TeIlT r.\')

- eYC\-tc. coors. (TCIr,. T.')

- CYC,"'(Ilto"'~()A"'c",c~'c" <..cl!.c.)

kA~~"..(CoD~J(TCotT$.'1.,)~.,",A't,~~€(TtJcT$'.').'\.)8(.Wh.c;J<..TE)f't"$,"'),1)

It«EO. rO"'O""Q~ 'o~fJ (Tf"T $.,.¥)

f.~CAe..hDE'.,..CA~1)~"",f1'8...,.,".~f\&.ItT..Ct",F-oIJITSA~OE(l{l.tle.a(l«CTto~CA'A8,c.ITY-t.,...,,1t,;;t-,,;ItIt~c",€eA,.,CJQ(tf(0101.T'Ceti"iiif'--r,.,i)--iiTA-".Ct"..-"p..'=Pc=''neeD£"fAt..r.FTttcca-,.-r1"1f1;:cTe~,.4O£~oO"'f~F

TftEIf (0 () f S ,s "TItC'TfJor(~0'Tltf:Gl"",IlEIt r.ft €~A~)

'>7s'('(l.QB~E'" I.'TIll,.P~Co~J'~EitA~T'~'JflEPcTtTlo.l'(otl)ctiNeoDcll~(lePtAT£Ac.ttO,T'ST""CJor.,..~~A

(oO~w.(tDP~C~t\ I TAccC ~A'JoaITYIJ.'T(OIC'C'A'

) c'" (o."'"llor",,~~ ,.,.~ ,.- F~,.(J Pc.

SO,",""T\O,.,ID~eo0,,1'i(t/l.Q(t,~JeA"'81l~'

{t~PCTt"'to...,.s ",Pc (If ~t"f'O III f alo It ;

hiTtttl(AS~f'c:P,.,.'"---~!P

""- .:!:r

( 0.03.C-IIi~-.~1)PoJ(..p)$J.~(~

) PfA(,-P...)::r.!J-~Jc3i

CWAPTE(t ~ 7<'.' (Ol"'O~"'Tto.jltA(. e-CoO'Nf'

8...~'fCto/)(IIi>E;lc.~,!JetJ

II.----- "7'l.-

(.O","."c.T'.'A~c..",~ - '.-11't ,., k

",'1. k:.

K:.CQ,sTIl,q",T'(,,8:Nfru

~"tODEA WAf "'£~./ly

~,p Il.ff~" 'TA- 'rCo /J

( c.o",,~t ~..~ 'U,T'.~'A" (S""~T ~f(IJT~It)

2. /1.c."(". ,.. IACot

3 STArr ~'A.fl...,...yTt«£()1ACIlA~

t' T#i.fffA.IJ 1)1,#cr~A~

e)(A, f"'~: IlAT'E "/".' 'I... k:: J

7~o1,

,I" ""'T'-0IT"

~\.

Co.l'I'i(Tto,.,

~~c.'T. (t$

~,=,If

")'\. = , 0 ,foc..y" 0,.. tA..1'> llr)~ , '-

-~,"h~=- I+X'-

"...pe-,-SC MSf."s~ : ",PIAT B,~.I ..,'co 100

~Er"'TE" C."'Tf"T~ '-", ""1.

"'.

I (J (;»0 f 00 rJ ,

,0,

Page 3: J, - UVic.capeterd/45003/Elec450Notes1-16.pdf · f~./ J,,noB A ',e. 'TV 0 t: (Jo(l f) (i1.'o/t (,:t. Ell'.' "" (fI#t:W~/l(J) IF (.0 tit: c.A ~ it (l E c.f'""., To = I R..,.S T'toC(~

~

r--.

..')t0-I

M).~

-.'"

-~CO\

<!

~.~~W~

,«~V\

Ja\<1

~I..J{-

~~~!

{'-'

~...

I~':"~

.J~

>-

~

c.-\"-

~0"~"«~0-~<t"

jj~0{.

'V\.(<::J..,~~.~~,°(I:.tI

,J~Ie:1.~~

I)/I"-

II::

~~

q'-CtoJtL

II

J

.I'~.~'"~.c~~~~o.w

a\.

crto-\-~"

0:.~-

Qt~o.w3ftI~~~....~~...:.~.c:L

'""0

\~

<I,.

0-N"-...~."'1,\'.~~

...-II.,

~..~\If

\....\:;;

04.V';~~.c~(~

~...

~

)0,.

11/oJ...

~ct~

"-../

,.<

I"0

\.\\.cr];"'"

:)II

u:t

,~~

)0.,

~-

::;J

~0

"\

'I(q"

vC

I::)

IIII

\JJ

~E',""-

\),

11/'...:.

;s.\.

"..

<.

roJ

V........V\JJI\t

<::::!

II

ctIIV

-\A"....JIl

l0

:3'b

-..

Iu'-

'\0

~

t-...Q\II

.~~

...~~-a1

~

,..J"~"""~,

,...S

-.oJ..-.,~~%!Y'\.)...OJ~0..~~~)

4(C

D'"

~."...,

C'"\

-"i

...8'\.l"-

~~....-

etlit

",'"v

\Ct.-\3~4..

......-

"\,

3:~t-'Q

,.

'00i'",.~-

.-,-------\,.s~

ct

.-, :.(to-

t.J

' N~,:;'V.~1-

...)I

,t

t'r

"

~-;.

J-00)

~"

0

.~

'".-

«'»

~~0..QCO~~

oS"

'-..

'-'"

i}~~~~OJ.,.,!

::;\.

q\

\0-Wc::-0<""~).'.~..W0'(:.

\.~'\.)-J

{J<~s-

-c.-

.J{~vIIIi...<~oJ-

;Ct.....~(~C("

",,\.-

\II'"

""

~h'-'\.(,0'\,.

'".~"0

~:s~~'\.

<.

q~s..~~0

... rt--,~""

4-

...)-

:t0\C"'"~...-)...Of01

"'&.\.0"

:.~oJ

~

3

{...\.C(~t-

0'-

~~~~;::1~

I

II,\if..WCt~...,AI"

oJoJ

((\(

<

~

I ij

)i

~(I./.(-

,~~-~"">-

,..~\«

~

..q-),~t3

~.~~,.,r'\>--~ 'f~~q.~.....

.;q~0

~-.roI

.,~

~I

-II

~~~

'"

Q0'-'\

~3~I/..~

.'"~:,

\aJ

~X~\-~

.,;::

:).0'

~

tt

~)N~..0<~~'!..~\II~~0.~~3....0'..,\A'~~lt~~~"0.~-,.r"0e~\LIe~0-I~\.1Ci...~>0-~~'"~,rJC\),....<I-~'"~~~\:I~

Page 4: J, - UVic.capeterd/45003/Elec450Notes1-16.pdf · f~./ J,,noB A ',e. 'TV 0 t: (Jo(l f) (i1.'o/t (,:t. Ell'.' "" (fI#t:W~/l(J) IF (.0 tit: c.A ~ it (l E c.f'""., To = I R..,.S T'toC(~

'0..........

)

-J,\c0'"

w...0

.~

(

~-~~JCL.~\II!~)

J~l

~)'»()~)~..0C.a.~~

,,-.-fI:&J'~

-k~-

ta.\~oJ

")."~...,

i...

~

,...

~crc.\.j

":'~

.!I~N.,",

Jfu

~~0-);

0

;\i,.S~-w

fI.1""

./.

)

II:~,.2"~

-...,~

n

tV\.1\('"

'"\Lu'~0\.4.'Jt'j~,\"'.

'"04

~~~...">-'-'"~..,~X>'""o~o'-~\¥'-'".(""c(~~\a,~.;{.\\1,'"

"'"~~t"'"-j"

\\II

~~.,..!.

~~---\~j;'\.

, e""",,

,~...~oo

-,~...

J0

....w---J~\.'-\U,....'».J\¥"O~')j1.~<

\"-

....~

~

I

~OWQC."'"t~'-'

."...~O

-.,\aiL

-oJ(,"

\orS

......

Yo."

:(

'"~...q

,j-

00

~0

"",

,...(/~

...

~

J~~0

~1\

~

0't

\&t~-Cb~Q!.

,Q..

"-.

(3~~~~~

0'"

~t~tqQ)..~

CI!'-Q.'

...~

-tI

1""\~00'"

...If0~1"",~~(~{

qJct"'Jc:c

.;~

\f 4it

!:t."'8-

"'A;

J,~4)~...(-

\""",

\~~

",

~\\"~~i

J

,~t...\

...!

1&»..

~,-'".,

~Ct~~.\..

ft.a...

~""

:1

\

\.at:~...

ii~3~oJ.

0-""

IJ~~~"'...~.

'-'<o1r

-c::::.

'"

~C~...

~\'-3.ot

"-ctO\

'».-~~~'"~"'JCIIa

?0

~

"...

'C;"

I:J

~~"~Ia,-...

-4

"""

Sc(.,L~.,...~!%",~{)

J1-

3,,",0

0-"'\,

....C(~J~III~'t)0~.I

\"'I»):!.I

~~""o,..C(

~~~,-(c(~c'"

oJ.I"~.I'"'"",,-C~

1S,.I

""~'"~.....

~(

o~~.",'61

\o\wo

~~!4a:!

\IJ"""'(."'~

.){~~w~0-

""",.I~o~

...Sc;

,~.)~(0'-~"....

qJ.CIOQi

()

"'"

c:u

0~~..~ct

!ct.J',

~:'$w'-'w

)101"

~~

q.'C'

..

~~

'-~

......

0""'":J'"...~~......0~""'"

00

'"...,'"

,-"\~~...,-..;.

II~~(~"~:.~«

-"

"~~.-4~-~

o4t~...

..~{~'a

ct,,-,-'")

~\0-..0

,

........

..\-'\~"q"O..~...

\,~..~

II

'"

~\;~~~'M..IQ..~<)

~

'-"

4\

J'"

Q..'v

,,~~.j-..,..~'\::I.<r~~\-LA\..0".....

...\oo"'~

~..Q(.

...0

-~3"'\U'-

cae.t,'"

'-Ic~~-»Cb'"6

,....

1tJ\.~t80

...

~ :s...

"~'"

a

q,Q,;.

""

""")~~,~"

\Sf'

~0\..,.

-..3':i-\/\

'"..!'tr~

III....

~'"~}~

""...(

.1-41'"

~~a-~~~""'~ri..a~~C'"-'-I~~N~1..~vJ

..,

~<..\0

Jt..c:::.'Il

'"..,~

-.I

o~)I!.0

'"0'"

"-

Cbl~:~~\I'.t(~ll~

~~Ck(\....'"..'\....~:AJe"'...C'~'""I."\0.:J.I""j--<.r-\IIt,'~,'""-lit~{I).'"~~q~\.0...~~~0C~~