í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I,...

14
r5.7 I I -+á4 Lrh"F t l,-I 'L t.u à* .) 4 àÍ, ài xÉr;*fr.í,^i.;*u&=i^i =o It à* àt \._# à+ 30 , *4 y* i *" í í ** * fi-*ãl'Fllrtr** (i)*o Ll ;-*"tü"* T* Í * ,*;t s ê tbt* ?* c*h^ ; " G o A , 1fr a*^,* i *-*'**ãr, )'llo ? â t^-'r/'' -**'{' p*.4' I W*'*J*r /* b7 ^"4.-!*,, r l,rHl f r-: I 2 i^ *"*t-,fo{..*t."[ a *'!'y et^i *rn;4 uk $;a 8' /'ã1t çâ Íy"§^*A, ?*"t 6.*,.1"* C/'- z lx != í t4 L o ú); ) fi=!Ü*') z ,y4 L q --!!v I a z- [ L) Í mc,a = A' {9 ' lt' !. ru*, g z a^y= h IAu"'\O +- ' *, .z == ** t #'í#',*^ ff= " § , ,.\49r- .2. LP,"o; usàw-' ' *)t- 2 -t 3- *e + éi 4- u(e--;)" o { V Í * 'j- la*r# I z' L? DL z lrf\ **.Y 3 ', J. fuu* ^.1,1 , 2 Lp,e Áê zl I'd" t* -14 z f e fij-êê? L-,.2 L *(,,o *=Jg- I L Í-lvtfli, \*, tW*^À^, ' ü"* f** oL ,*M á" L"l*'1'+^*; : I/^ ?. hlz e{7âQ r*^*.0r+*rq' yn. Ü44 kJ+*!- ^-ffi* d"'-l' 'ur) o=-) ?rtl -L ,;= ?+Ü '+('-*ü ?-^ í o ua'*'{1'?tá,,o c 2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1

Transcript of í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I,...

Page 1: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

r5.7 II

-+á4Lrh"F t

l,-I

'L t.uà*

.) 4àÍ, ài xÉr;*fr.í,^i.;*u&=i^i =oIt à* àt \._# à+30

, *4 y* i bà *" í í ** * fi-*ãl'Fllrtr** (i)*o

Ll ;-*"tü"* T* Í * ,*;t s ê tbt* ?* c*h^ ; " G

o A , 1fr a*^,* i *-*'**ãr, )'llo ? â t^-'r/'' -**'{'

p*.4'I W*'*J*r/* b7 ^"4.-!*,, r

l,rHl

f r-:I2

i^ *"*t-,fo{..*t."[ a *'!'y

et^i *rn;4 uk $;a 8' /'ã1t çâ

Íy"§^*A,

?*"t

6.*,.1"*

C/'-zlx

!= í t4 Lo

ú);) fi=!Ü*')z

,y4 L q --!!v I az- [ L)

Í mc,a = A' {9' lt'

!. ru*, gza^y= h

IAu"'\O +- ' *,.z

== ** t

#'í#',*^ ff= " §, ,.\49r- .2. LP,"o; usàw-'

' *)t- 2 -t

3- *e + éi 4- u(e--;)" o{V

Í* 'j- la*r#I z'

L?DLz

lrf\ **.Y3 ', )ú

J.fuu* ^.1,1 ,

2 Lp,e ÁêzlI'd" t*

-14 z f efij-êê?L-,.2 L

*(,,o *=Jg-

IL lçÍ-lvtfli,

\*, tW*^À^, )Á '

ü"* f** oL ,*M á" L"l*'1'+^*; :

I/^ ?. hlze{7âQ

r*^*.0r+*rq' yn. Ü44 kJ+*!- ^-ffi*

d"'-l'

'ur)o=-) ?rtl-L

,;= ?+Ü '+('-*ü

?-^ í o ua'*'{1'?tá,,o

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 2: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

E

o ,**Á

z I nLt"ry

Lt= J- nfI ?u

l" )-L*;

J nt3lz

l.+l / )"'* r/+Y

Iz n I

L3

L

17 , ,rlI 't- fr 1,,! Lt

J L"/'-L rlu

; +: ? h,,.,pt-

P,\ v).tt', J =

/15,5

// wtZÍ'=; \t"

n,q - \ y - I : o T.dÜ

T*yn = f . T.h=Ji;

wq -Ynfi.Od

vvaqh--^P=à =tá ;t

j'-ní

Ít

*gr.0i*;ni)í

/r*lq/,â- -"2h _ ^?

.^1\,?+ )nÉ ftny+tnl

I

*3L \\ 1,ty

(Wl

//

t.

lt

*"*tfr

3J= 4*-

? r*t

@

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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1r4*. 2 axL L/ - .,L , z.

í- Y I x'Jx = 7j(*'1,). * * LLJ

o

dy,a: A á"L

L-L

', ? [1r* = ? +r'fr).,f[(*Í +*l]=,.Jz

-!Z

,,2- -!- wt l-'12

4-= * n)*|-r*h ,lí ' .

,=[ ;r'1')o- :*[ n'ào -- 2 i tít' >urt

J:nrt ro

áq --:- n'laàoIrR

'?i {R. n, 't R ' '

de I ,t'àv';jn'f'6' lu)' ''i

* ^

J íI<

»

a)

c)

à)hds á/,

wa.l^4 i

ryn{

7Jo

"rr^,L" a

tl

lu {tn =

Efrr-.'

/ífi,^"u 'I,I'f t',4*r/ I = J' lL

| 5,+',

ll@'' **.ã.inf j nl|--!ntoLno=1, D s^'{ ?4 I, : } t1 L

nc L

,rl ,o ) Frtl ,n'frX--o)F''n* *?rn?/ 3qf

F = tl\l, -, ["-)' n3 | +)' +

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 4: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

^.1í(Í.LFn*-^i- * '"-ío'o l, **, )l^- L ^rr*, "*o t','lr.'a n O )

!= ) ,^L'*^LE\'' '' nL'tz \ z/ lz

f1-*À A ;;*z kU "^f* J^ t'"*LL'

Í+ =e)L^L"* ?,"i-u. z4*Lz6tz3

t"w*,r*À, &'àÁ,d'i l^ 1,'-''' )* àan^" 4*Í u'üat

Z **fru*;)*&- q'u' o t

r.ZÍ=1w'L

n.**Á a ''-Jd^ #U l*1"À )^ *^**L;

I-r - r J*Ltn ! *.1"' 16*ti- 3 3

' '' T "''-Í u)' \ u'='oo *"*uo'lu:u

A ,,rÃrr*& *?A, tn^"'**'* -'a e ''*l;' t 'ro'o ' Í4r*' \ u' =

Ç *o' lí

oo'

E,*,,i,ol;{'r- 4,a",l^3., 'J' r do'+rn': 'f tu*f a'í= ta nt'í

tt ,, 4 ,, W, wJ . ! Jrrr,' , i tt nL'(!';'n # *L'*i'"1t ^1"^j

Wl-*à=(r-'') ^Lt*l'6 ^tr'i ?*' : o fr^L'\/*' |'r"'-;L U"

àLly;L't"

I

7';1,]T

//// lltil(\ c.tut t,L-Jtc.,t )^ "**1"^)

p nll" = ) fi,r'n !'I- r'Lié

zaqt,(\o*')u'R"

t."..'-' *e 4a Ca$at t

"r". t* *" 1* c- J<'*t "

[*2 ne1,"'V--R,/éy 1q.+J

fr) e*.ô ú+ *t*a a(.n*, T. ?n,( i: rffeil = 1,1 ss{íf

to^* & l,'* üsta, 1'*nf

r -á Ve ; h1r;'n,",^kY'*'T ' t'1"i-ff

u^^í"" yu "â

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 5: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

@k o oiso o A ,wea.-t<* bro " hf vvXau^a ?n o -f^*

4u^s-/ta lr)e rt "' **LL ?* * W ç "Ja'*/^ f'L

r4r»e'ê clb .- .;l^* ' l''l V F--frr<'"4=o'

o v^.^^+,Jp A í'í"i L ulàh' at* ruJ't' oo â'"À"'

f ,.l*^tc,J-{ ,- f{"'* q f 9*' l* a - .;to k i Lh -

t En^â, W, * +o7+ *^ "tL^f t o',\'H ari#

I trl'^ e btutu' '*:,, úu ú 1^.tR

v^1u-4=,,:* t<'ii 4*t or\'* /4'

ea*"y,'"--* à'-!* e úr,'n^ v^;u'0 K=f - n'l e

i = r 1p,-ê ' /c co'-:'o /tlefis}'*'o oa2laaú ^ú NÀ'L

,d04 ctlt4 a'*'h áL tú"L z5 u^&

// /t5. tr tr-7*

V a^^^*

; hga,^e R t4-U-

, 3fiRt 1\L,o z

' ) ''/nn,tnu Ca*a A4 à w

2aa2r_Iti+{,2_= 3firle

t-_ ?x*ri: . 7Xa*»+

l*;Ã/\L4Áê tfl^* ;J;u''Ín, *- Ú '

"* *jo* ^ ?

C,,-á; w"t

/*-l*, IU-+tt';P'

[*. i-lku A *a^^r']n?

ítr, u*ilr,. â, *4"y> :

Ur".W l E,.tF,... ,,, -1 11 , _1o=

n*tLl ç,\'v L=L

E a;*ht ?r.'{ ê

í I t,.z- -J'o''i"-"'

? nq Lr,*',s * I tlXLwo ' nX LP''# = nflt'3ds

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 6: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

I@W4) AJ^*"q- h ? A? z L"4;J"*, hrLn^- y'4'§1 lr4{ht'l!*^*'' A*, o lâ'1" ',/*

,Lu*t j'*f

$t;-**-'na l- ?^^ ê u"In "n *-*l- A +t*-'- -à "* **'f*

F** *'' &s;'l* a l*t fr'A* &'^rb**L= e L''o*i " i^*Ã' '

Ü Va"'^-' "*+* W )r!4 j* ud*l^'* 'l 1-"*'o fu e 7*< G 'A" t^

4i bÇ+u'u+ 0'*^;' e*"n*§u'/* N a'o e;'*t ' Va*"a'u-l* /' 'u^u^ 'L'a"*;/'aá'

v^í,lw.''i';''áa'€t'\>"r*t)*+t-'/1"^,ié'..á'rw-!a^;u-*^(44f-"1*;

rA o tu"tv*"'*f' & i'*"A bJ* al;*l* í v- 'à f t^*q f a

à.çat*l^*+'*'*'-7*'E't*J"'u'.'l, ;y**l''ni)L"*in4*;

4,Jàb1ç}-uaf*5,fuà44&l-}1.)t^*,*,t,!.o!**.f^:*l*

4^à.r*-^-?i,,-- 4Á |-u.*^ u:,'* : §a** t- |1.,,* J;. 'hJ*/§$,

// _// _1 ,s;tl

o ebrvt^tÍ'*) & vr{rrr^.. L, f---i'

IZ

lí í,)s,)

l-- /trynt ow l1--/Lf*,rg *ff-f-e*0

hf,^üà4rLd,t

E -55'"5 (?s-- u

t6 , (s; n:) = §r6ni-ai)= l,J,t* {l

Elu*r*^Á^ Aô * {** }^ "!.fl, "*' í"|-(ni-c,

e,j- nj3 3r;q)1

í

at1

(*ii tRrR4

/ I^:r /x P'}^a d'o ü)* J*' t Y e" :

' I r{s4í= á*,(»wní .;,(,tru,6,iur- ç (r*ir:4 à,t.Ào'Ii t;"Tl àh-àt Át

=r=lo,=,!otf ,*:o^,/ I',n'r,qÍc |*!!»::ll"l'Uilq

) =

o o Ro \--'--- JL

àrs í- n;

;Üf'r1 ,\eY

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 7: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

*l*o'R=!**'oz -2,!

n *yW$R =-m R a

Ef;*;-,.*"* à v'À^

,|

tu ,0 -- 1 Á /4 0,,,0

/ z/

l= ?r. Rtn ,t et. ! * i

^,1ru'0e

!",r"'lenl f Í*u I"*Í

t= !h#/ f d

t / 'ír1, l*=á*» 2\-t4J,r

t,n. Í "á

2tl6 = r rí$ + {

R".n'?' á"ai'

lv = 14. -l-P

'r'(.fri

JlL== i ,,

8 ^l.,ni )2t"u,.-' )

)-- ^?KIn----relz

t5. t* //

IE7* ,É, .-.^y^ 1",+*Ç,4, * l (, - À r r *)

e*L e^4 t^^1,-ov4 a iLz., ! ^ u,' o ! !,u' "j *-i- / "; p " Ávt

rp*(r;*^T: h

h=n?irÍ",1(!-4 \

c***,toy k *-^w , ^fr(t -, r*) , *f,u= *7( l'üÇ^E l.,-l+r*=9-n ) L"*a-3/L

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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't;uq-zÉ=a Í,Á=?à\riá 4u, ô,+

R

//4=?íu'*) ^,;u. l,= Ê+J= on?o=!R __**ru,* o,

I S,zofÍ

c;l u *rl

lâ.[,rnnl lc'l*-nÀi ':

ls " [ * nÊ, ls= ltr -'r'tinnll = to + f1 A"'n'')

o ?* Pa 't'*'["a

t- »,r* A çc '*h *h*YL Ü*

,r*#, lts=tlrnÊ,

Nq bà,4 ),

ht F*le""l*r ^ lluâzL

e ê. hs " &, -l',

stl

hr.r' lrhu

z-- -rtck,A

,11

:r' \n,z---_t,,

hz

í

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 9: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

lÂ,1I "

tc" h,/, e

' Vi h, Vt'

V=V,

Vn lrz

t- Z

í t,^' - i *i, *.:^i-:-(*.-:r.,ü: = vt = *. *n-,z ,,Í '- l,'i( ' vl)» lr:

) o ,-^.^-*L *yU : c"^^4@\ ) í'* !

rt pt v = l= cb

o^-,{": fa,'r- »=h" V*n^'

rz 1,d" y u". * r,

Ít-

")É

mZÇ>--o

í4="

í cu,* * nI - L.o ) ín* Ç cun "r- l'1 X

.,:í,«-ítr = to

Fcn *K- fl R i-çn= ai-i F'* < R-çiL

,\F R( Ran*-t)*-*---?*

Í+ i1 R

- (n«.9\;-\ e l,t

,, ttr ( na^q'1)x-''' 'a

fl R+

e t/'t ^.

f suh. , !*l^'^4' l'ffiTl<

t11 =

0b) §{ U*-L )" rlken4 Fn, =o

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 10: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

2zÍ= L^(zt\.*^t

lz \ / o

-4rtt L"

^rr.r4 t^ = f e[

, t'e i-t^ | t/, ivry,"^,-rÍ1 't/'

J2

a

?/"

^Yo

?;o rl1J

e f *, *=T

)r-l^ 'T =

ô.-* + P.. ;t.Y'^l* § 'á=-2!{*t+w"

u"*aa N a-*,ü , àÜ r)'-íft+u" =o

:t"ytlttt

2,Írro 1 v^x +7 fll=o i )< , -/?w _zL-- íttRtÍU R W / ,'?r-l " 7s

'ã i;, {- **ún= ?/o

;=-/?i.v*tf'

*,à R'

rô t*=4 .

rnl

a-

o

; r t^*tü. -zF.

b)

T*Tn f w** *e fur l. &+" á '

.',, €ri*a L=T )'*' a ^-w ê la+r/r "--A

l'

f #4n"^,,* t<t'4'l

À^-1i*^r,*\wo"r*l^ fr +'T I e^l* l^'z p*Lsl'I.'aX f p-L u*l* a*6'"-finA ' 'Í*u*'

p.sx(+=r).vrT-*"1r e z z.rz r> zlno*-t::*],

T= V^ ! J--!,Í ç#)- ? IL/' 'o ? lfr,

,t+'=r).Vr'l-t'T '? - z ,.rV.- ttl'? vu'

. z .,2 ? r/- 12 '| " ' Fé

?J*-!,Íç#Í - ?;# - *(i) í 'lr-Ç')'Í - 'l13 lt

- lz vo' '13 'a 3'

?n*^ L,a a v-;,";,t"t^ é, ü" x(t='l) '{'iT={t'S? t' *oo

Lrr)*ut t

rAT J-L.#Iar\

e a/*+ã t/* " it 'v,'V 1-Í " 0 K' '

?rr;* , il, * l,'**çnh, 1^. o l^*ç'**n*^k u**"1 /44

hp nr^ nÁ ^n'*^-io ' a' *lí' à (t=o) * a € ú4'^*

x[r*r] *vo-rír, f*'Ê*f tu*T

V", [-íJ u1T'*uâ' ' -f* ?#,yJ" f*

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 11: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

-zÍ=9qR5

/ Çr=a

íaÍ^x >

.^{õ à yn a? i2 (*.0) * wo

f ** u^+th.*'*h '* fu & * E*l' t=T'

e *(t--t)'o e ic'tv't i

e- Yo -V1T= o , E ü vni neP'la AZ'f '^ff" " L

,o- {*uo=o i {r=§wu«

0 l.te,*r-u JÁ',0, c^r1"1' )'A"'"*-Jt At-'A4 áu{'Y*to,- pa !J' l**

n^4iJir- k **rrrsu*'*L ?e V-'' lJn';t*g ú*" t;*

t -" e,*-- a a u-)*ul* & *-XÁ* ) a4 X)*a,.' r^Áà "n'l

*u',"t ̂ /lo"

"rr&*,áa-çt y . v*l*;7o54 ê^ uea*a *+ tlt '*O" '4,^ V-c.:R. I

E*k- a q: â' aju.lâ .lt"/ +? r- í t*;hu" l'+' o-;> t'*'<

;v*nã* á* **,,fr, » é' /"4*f '?* *'Í á'4r?' v""-'l;'*'a" W'

t- le(.

I

tr .v'\>( =-tÍ\ ) x =l? ) *, !r-t't, 2 tr

:'4 tn14 - -lfr,. & = 3"v.,k ê

'- * {; á='i*tr à(t=')

5 tt+zF

t

á , ar.'

Xt

- l,t, arl,-VXT € í Ye No'l y"

t* r^^*;ur,-;* uâÍ e&fru *\*' àr*o' c'l^ag'í"'" '

v"c'Iá'('í '

t ltt .

&,t/n*r-: .*íT* u,* ril' f o"

e ,,*LgT*Lb M^ 2"-e{*oc'a' tS--"'i k ?u' , *

7Y.í;?"" ) (?-+| {+r+)v6arüo: i V, = **,e''ffí;.-*íT{'*o ) t+ ?

N;L v,lruo n S'R{wat CL'-"fu,

wüT*1?t)/Yw^,""/-\)v ' ^ .^ .i À- T u^-nvo?=o

+ü a ,r,^r**r,Í* ü'*a'-' T'-n to e - HV R u+ Fttt+< Lcw 0

P*t**1r***hu'J^{olanayt*o*-ê{,ÁoVt44r\'1-\'t'^àA"'*fut*JI'"'}"&(r,n o t *r--at *' ff^tr{ /r*L e*"'b'L'^ **{-J )' àJt- p'l'

'**'*fL*' A*}"

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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15, 2Y

r)

ko,l;, ,

i c"-"}**t ? re *"* enú*r*p , lrn*r' hl, R : lrn *+ (f v') n e i1 *c

e mLç4,1*;*h úe,q ; frrf,cl. = frv, *r ínt i'Ê r +v.nR oa'.

Qn*

, | .2 *(**l)'

2 \/tuz*JLfrt

Zar - V. zí,,o0.,a+í ?y.70, ) *iloR =[ ,-i r*i]n=t#u".#\à^*-), vr=# **or=

hJ^ R

ô_ Ll

" b* o á,J,-/-t r'{^;, o S*' t{'u.-* a* L*uo^ M,,

\.1".-.:_-/'

I

I

Lrl I

ql

ür*os^un h ,^^"''*rA a-[^l*rl

[tn*t-)u.," lir' tn=fn{ e

-ít

(j,rf.r* f)" = 2 Yn (erf.) u'

tudr44"u J^ t*"*$ '

z

!r;=!r'u' z ?

! I L{r'*J*e') J'i a'^'(n nt) w'z \r t

l^ '- 2 uR

1.4

"l@

'/ r;-tr*fu na.y * t,1(rulollt*;-R

W r,,l.rl^- h;â *&l a ',.,*t 'l' a"-S^Jln' '?- r^í' FS *^Tl* '

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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@1N,"L 'fÂlr*" ozo'

rla^r^*, ea'u+< fud a ' Y- e

It-.- x,i \fi j =P'. x' i' r S' i'

^ *^* lÀcad rr\ Jz-"* j' *Y l*

F{^, r,Trrt,v

Cll"* kL * o.-.ár*oL- a' lloe ,1"< { o ,çLh*'u *;'k-l

à)4ú* 1*",".ht. xt it+y, ir, #= i' i' ri' i' r;' !rl'#

Y' )' L' *'J' i' r O' #' ri' # * x' à! ri'# r *' # r'1"#

'{*^'#rl#d;,- 4e 4i, - d3;, -_ u i,Ê3 _-+er-at ár-aro v

1'it à+ d l4! i'\ - 4!- lI Ü = - ,'L'7' àt ao\arn/- àt à+ àt

#.* #,#(,,)=_ #í,.-DL'd' j' da 4 "Í - Lí'\=-F'7í ts \ àt /

àe de dit ,..iràt lt Jt

, t/.. ar.Jrr-J*

'-frtu# -rr^o) l'

*,-v "'l) i'Í+

lot u'x' " Fi

+ h^rt)'= í

# =X,.r,-$, jt rtil, *' * i' *rJ' (-' i') * *|'"'') r l' ("'l') :

= i, i, *J, j,n , ,$'i'-!'L'1 - t"(x';'*Y i')

= (,i ' - z^, i '- ,' ^) i ' * ( 'r't

n zut;' ' *' l)i''t

(oo 7,-,i' l'-l* W #,- # e'r''rin't l' ^E = - ü'

â1 ríx T

r^fu a LurÁ*, i)r'lÜ* â í' * ^ u i')'-fi*oa;ru^o)i'+(

.-" (,)=*rr::)ü), e.i@ 'r'-t* (i)"(:', :,'),:?

f. ^ § n

1 a**)i' + (- í* *' e - 7l * o) i' {* i' - tn 2 ui'- "' *') i' r(* J"-

u z u )

F*u€+Tsa^,a.*í/-ya2*v,***.x,1*1,=Çu€rt*,+r^^2i.r;ifina*# +FXt^n0 = ti'+ *2 u*í-^ i!' ) -)''= -ixbanÇl^t'1t\z**''

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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Page 14: í t.u Ll Í ê · c 2018 A alapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15 1. E o ,**Á ...

0*l-J, .

F-er *-,-' á *lt''*' u')

"*r'1"*-4.e' ',^,P lvtht e

* eáJíJl

-l "l

1 ln) x tL'

,\: :' :'\t

\-,i, o \

2+uJ=un

[àue\ =alrri I

.(- " \' L' r' ;' i')

l4va\I

-t

_

lat /n

J r^rX Vn

,r[ - r j' ;'+ tux'r1 =\ ; :' i'\= '"'x'i'-''v'i'

L I \-"lt ''txt o

I

oj,j' - t *J' í'* z* i'it- w x' ;'-*" J'J'

,,iL-Etx') l'+(i'*' w*'t-"J') à'

'- r.r., ri') nf)(o* o;L*u i') §'

í,ru^t\'tt +t'ít ** * 4 a*ali'

,? t - w u xt * Ç'* Çx báni A"4#*a*tcuj t+ w' uxt'íl

,* r'J' >,,í,, ,{§*t+í'fc*a 'êhN i<t+**'l' -'í

j' *'[l-o ul-I

\' olI

â " r lla- - x'l,l-

d

t",=(.x

= É,.(uti

= (xu#+

i' - 2 o 't+zmr*''

t,trxwTt' , " \,

ln't

e pL+4;ff* Áç rarq I

!=r,âü=rrí-ii

Çx tu+ * B tq*^# *- *

*Çrl*§ r ít t*0 'Y\ 1

&n*rn @

- {àU + axú- l a, /n' *é)| é-i

ffiA\ r; rç-fr =(#)rt ürxv4 +I':xv4 * tn v w xh"

'llln Vr tn

= ldlr-l * z i n7, oL *i, 'ilar tn

Ú' " x' n' *ü' j'ár'

c©2018 Afialapis.org - Exercises for the Feynman Lectures on Physics - Vol. I, Cap. 15

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