pdf-tarea-04-campo-y-fuerza-magnetica compress

TMLPDU_LANA MNOLCMNI ADI ONIINC
@NOTIQNA AD LMGDMLDUÊN JDOÎMLON \ AD
DMDUGÊN
@TMANJDMQC_ @Ê_LOC_ AD DIDOQULOLANA \
JNGMDQL_JC
Jg. Fcrgd Iuls LI^TLJLOHD JDII\
_djnmns ;< y >;
ONJ[C
y @TDUVN
JNGMÌQLON
DFDUOLOLC_ [UC[TD_QC_
5;5;
>. Ocmsladrd di ninjerd NEOAN qu
q ud
sd j
ju
udstrn d
dm
m iin
n `
`g
gurn. [
[c
cr ì
ìii
olrouin umn ocrrldmtd L dm in
alrdoolÿm lmalonan. _l EO y AN scm
nrocs
ad
olroumdrdmoln
suet
su
etdm
dmal
alac
acss pc
pcrr um îm
îmgu
guic
ic  ad
jcac qud CN : CA : U y CE : CO :
Oniouid
d di on
onjpc
jpc jngm
jngmìtl
ìtloc
oc
5U. Onioui
qud prcauod dm di odmtrc C.
1. Tm ninjerd dm crjn ad I iidvn
ocrrldmtd L. Di ninjerd oclmolad ocm
di sdjl
sdjl df
dfd
d x pcsltlvc y ocm di dfd
sdjl
sd
jl pcsltl
pcsltlvc
vc y. Oniouid di vdotcr
onjp
on
jpc
c jn
jngm
gmìt
ìtlo
loc
c dm um pu
pumt
mtc
c [
adi dfd z, uelonac dm z : A.
5. [c
[crr um ocm
cmau
auot
otc
cr rdo
dotl
tliê
iêmd
mdc
c sd
sdjl
jl-lm`mltc olrouin umn ocrrldmtd
diìo
diìottrlon
rlon ad lm
lmttdm
dmsslan
lana L dm di
sdmtlac qud sd judstrn dm in `gurn.
Oniouid di onjpc jngmìtloc dm di
pumtc [.
4. _usn
_usnmn
mn,, Uc
Ucar
arlg
lgc
c y Jnr
nrod
odi,i, dq
dqul
ulpc
pc
acodmtd
ad
oursc
ad
didotr
did
otrcjn
cjngmdt
gmdtlsj
lsjc
c ad umn old
oldrtn
rtn
?. In `gurn judstrn umn dsplrn
ounarnan ad inac I. On
Onio
ioui
uid
d di
onjpc
onjp
c jngm
jngmìtloc
ìtloc dm um pumtc [,
qud dstî n umn als
alstnmoln x adi
odmtrc adi ounarnac, n ic inrgc ad
su dfd, sl pcr ìi olrouin umn ocrrldmtd
diìo
diìottrlon
rlon ad lm
lmttdm
dmsslan
lana L dm in
alrdoolÿm lmalonan.
umlvdrsla
umlvdr
slana,
na, tld
tldmdm
mdm umn als
alsous
ouslÿm
lÿm
scerd
di
onjpc
jngmìtloc
gdmd
gd
mdrn
rnac
ac pc
pcrr um ni
ninj
njer
erd
d dm um
jlsj
jl
sjc
c pu
pumt
mtc
c [. _u
_usn
snmn
mn tl
tldm
dmd
d um
ni
ninj
njer
erd
d lm`m
lm`mlt
ltc
c pc
pcrr di ou
ouni
ni u
uyd
yd
umn ocrrld
ocrrldmtd
mtd 5L, Ucarlgc, ni vdr di
ninjerd ic tcjn y ic acein,
crjnmac
um
ounrtc
ad
olroumdrdmoln ad rnalc U jîs ctrcs
acss trn
ac
rnjc
jcss sdj
djll-lm
lm`m
`mlt
ltcs
cs (vdr
(vdr
`gurn). Ucarlgc id nsdg
dgu
urn n
_usnmn qud sl in ocrrldmtd
al
alsj
sjlm
lmuy
uyd
d n in jl
jltn
tna,
a, di on
onjp
jpc
c
jngm
jn
gmìt
ìtlo
loc
c pr
prca
cauo
uola
lac
c pc
pcrr ds
dstn
tn
mudvn gdcjdtrên
gdcjdtrên tdmarî umn jnycr
jngmltua dm di pumtc [ (pcr ic ouni
_usnmn sd judstrn juy dm
adsnou
ads
noudra
drac).
c). Jnrodi
Jnrodi,, nsc
nscjer
jernac
nac
pcr in alsouslÿm ad su oudrpc
acodmtd, ids alod qud njecs dstîm
dqulvconacs
yn
qud
nitn
lmcrjnolÿm
su`oldmtd
pnrn
nsdvdrnr dm ouni ad ics acs onscs
di on
onjp
jpc
c jn
jngm
gmìt
ìtlo
loc
c ds jn
jnyc
ycr.
r.
Nyuad ni oudrpc acodmtd ad dstd
oursc n adtdrjlmnr qulìm tldmd in
rnzÿm.
7. Ocms
Ocmsla
ladr
drd
d um als
alsoc
oc a
ad
d rn
rnal
alc
c U qud
pcsdd umn admslan
ana
a ad onrgn
supdr`olni
,
umlcrjdj
djdm
dmttd
alstrleulan. [nrtldmac adi rdpcsc, di
al
also
soc
c ocj
cjld
ldmz
mzn
n n glrn
glrnr,
r, hn
hnst
stn
n
ni
nion
onmz
mznr
nr um
umn
n vd
vdic
icol
olan
ana
a nm
nmgu
guin
inrr
ocmstnmtd  dm tcrmc n su dfd ad
sljdtrên. Dmoudmtrd umn dxprdslÿm
pnrn di onjpc jngmìtloc dm z : U.
([rcpu
([r
cpudst
dstc6
c6 ³Ou
³Ouîmt
îmtc
c ds di onjpc
onjpc
jngmìtloc
jngm
ìtloc pnrn ouniq
ouniquldr
uldr pumtc dm
di dfd3).
0. aceinac
Oc
Ocms
msla
ladr
drd
dadum
ninj
njer
erd
dqud
qu
qud
dsdhnlmalon
sl
slac
ac
in ni
crjn
in `gurn, slguldmac in ourvn ad in
umolÿm
dm
occradmnans oliêmarlons. Di ninjerd
an umn vuditn ocjpidtn y ds
odrrnac pcr ctrc trczc qud vn adsad
x : > hnstn x : 5 scerd di dfd x. _l
pcr di ninjerd sd hnod olrouinr
olrouinr umn
ocrr
oc
rrld
ldmt
mtd
d L dm sdmtlac nmtlhcrnrlc,
adtdrjlmd di vnicr adi onjpc
jngmìtloc dm di crlgdm.
8. Ocmsladrd um sdgjdmtc NO
rdocr
docrrl
rlac
ac pc
pcrr um
umn
n oc
ocrr
rrld
ldmt
mtd
d ad
lmtdmslana L ocjc sd judstrn dm in
`gurn.
n) Adt
Adtdrj
drjlm
lmd
d di vn
vnic
icrr ad
adii on
onjp
jpc
c
jngm
jn
gmìt
ìtlo
loc
c dm di pumt
pumtc
c C dm
umolÿm N, O y r
e) Ts
Tsd
d di rd
rdsu
suit
itn
nac on
onio
ioui
uin
nac dm
n) pn
pnrn
rn adtd
adtdrj
rjlm
lmnr
nr di onjp
onjpc
c
jngm
jn
gmìt
ìtlo
loc
c prca
prcauo
uola
lac
c pc
pcrr um
pciêgc
pci
êgcmc
mc rdg
rdguin
uinrr ad m inacs dm
su od
odmt
mtrc
rc.. Oc
Ocms
msla
ladr
drd
d qu
qud
d di
pciêgc
êgcmc ds ad inac n y ds
rdocrrlac pcr umn ocrrldmtd L.
o) ([
([rc
rcpu
puds
dstc
tc)) Adj
Adjud
udst
strd
rd qu
qud
d sl
alstnmoln a qud rdocrrd y di
îmguic  ocm di ouni snid ad in zcmn
ad onjpc (vdr `gurn).
m↕ ∝, di onjpc jngmìtloc
dm di odmtrc oclmolad ocm
di ad umn dsplrn olrouinr
ad rnalc r.
<. Dm
Dmou
oudm
dmtr
trd
d di on
onjp
jpc
c jng
jngmì
mìtl
tloc
oc dm
di pumtc [ sc
sce
erd di df
dfd
d ad um
umn
n
ecelmn oliêmarlon ad rnalc n ocm umn
adms
ad
mslan
lana
a ad m vuditns pcr umlana
ad inrgc qud iidvn umn ocrrldm
ocrrldmtd
td L.
Dxprdsd su rdspudstn dm tìrjlmcs
ad > y 5 (vdr `gurn).
>>.. Tmn
>>
Tmn pn
pnrt
rtêou
êouin
in md
mdut
utrn
rn sd dm
dmou
oudm
dmtr
trn
n
scjd
sc
jdtl
tlan
an n um on
onjp
jpc
c jn
jngm
gmìt
ìtlo
loc
c
ocmstnmtd
. Dm t : ; iin
n
pnrtêouin sd rcjpd (’adond‚) dm acs
onrgns +q y -q ocm lguni jnsn j, ins
ounids snidm alspnrnans ocm
vdicolanads
dm
alrdoolcmds
ocmtrnrlns. Adtdrjlmd di tldjpc dm
njens pnrtêouins vudivdm n ohconr
(dxprdsd su rdsuitnac dm umolÿm ad
q, j y E d lgmc
lgmcrd
rd in lmtd
lmtdrn
rnoo
oolÿ
lÿm
m
ocuicjelnmn dmtrd diins).
>;. Tm prc
prctÿm
tÿm sd al
alspnrn
spnrn n umn zc
zcmn
mn ad
onjp
on
jpc
c jn
jngm
gmìt
ìtlo
loc
c oc
ocms
mstn
tnmt
mtd
d tni
tni
ocjc sd judstrn dm in `gurn. _l di
>5.. Tmn
>5
Tmn pnr
pnrtê
têou
ouin
in ad jn
jnsn
sn j y onrgn q
qud dstî scjdtlan n in lmudmoln
sljuitîmdn ad um onjpc diìotrloc
csolin
cso
lintcr
tcrlc
lc dm in alr
alrdoo
doolÿm
lÿm vdr
vdrtlo
tloni
ni
+d
j
prctÿm
ocm umadîonrgn
mguic  y njnsn
in zcmlmolad
n ad
onjp
on
jpc,
c, adtd
adtdrj
rjlm
lmd
d di vn
vnic
icrr ad in
y um onjpc
jngmìtloc ocmstnmtd dm in alrdoolÿm
hcrlzc
hcrl
zcmt
mtni
ni
oc
ocjc
jc sd lilius
ustr
trn
n
dm in `gurn. _l in pnrtêouin pnrtd adi
rdpcsc,
n) Dm
Dmou
oudm
dmtr
trd
d ins
ins ocj
ocjpc
pcmd
mdmt
mtds
ds x, y
y z ad in nodi
didr
drno
nolÿ
lÿm
m ad in
pnrtêouin.
niturn ocm qud snid in onrgn ad
in zc
zcmn
mn ad on
onjp
jpc
c (ocm
(ocmsl
slad
adrd
rd
alstlmtcs onscs n pnrtlr adi vnicr
dmocmtrnac dm in pnrtd nmtdrlcr).
e) Dmoudmtrd in vdicolana dm
umolÿm adi tldjpc.
o) Dmoudmtrd in trnydotcrln y
al
also
sout
utn
n qu
quì
ì co
cour
urrd
rd ou
ounm
nmac
ac in
rdoudmoln ds
>1. Tm didot
didotrÿm
rÿm ad onrg
onrgn
n -d y jnsn j sd
nodidrn n trnvìs ad umn aldrdmoln
ad pctdmolni ad P : >;1 RPZ nmtds ad
dmtrnr n umn rdglÿm iljltnan pcr acs
pino
pinons
ns pn
pnrn
rnid
idin
inss qu
qud
d tl
tldm
dmdm
dm um
umn
n
>?. Tmn p
pnrt
nrtêou
êouin
in ad j
jnsn
nsn j, ocm onrgn
q = ;, lmgrdsn hcrlzcmtnijdmtd n umn
rdglÿm ad nmohc I, acmad dxlstd um
onjpc jngmìtloc umlcrjd
ocjc sd lmalon dm in `gurn.
n) Oniouid di vnicr orêtloc ad in
rnpladz lmlolni
ad in
pnrtêouin qud id pdrjltd adolalr
sl diin ntrnvldsn in rdglÿm, c sd
advudivd.
e) Adt
dtd
drjlmd in trnydot
dotcrln qud
rd
rdni
nilz
lzn
n in pn
pnrt
rtêo
êoui
uin
n pn
pnrn
rn ics
ics
onscs dm qud in rnpladz lmlolni
sdn jnycr c jdmcr qud di vnicr
orêtloc
dmocmtrnac
nmtdrlcrjdmtd.
o) _upcmgn
nhcrn
,
adtdrjlmd
qud
in
aldrdmoln ad pctdmolni
aldrdmoln
pctdmolni lguni n Pc :
>;; RPZ, sdpnrnans pcr umn alstnmoln
a : > RjjZ y ad inrgc I : > RjZ. Di
didotrÿm dmtrn n dstn rdglÿm dm um
pinmc
pin
mc dqu
dqulal
lalstn
stnmtd
mtd ad ins pin
pinons
ons..
Lgmcrnmac ddotcs ad ecrads6
n) ³Ouîi ds in vdicolana adi
di
dido
dotr
trÿm
ÿm ni iidg
iidgnr
nr n in rd
rdgl
glÿm
ÿm
iljltnan pcr ins acs pinons3
e) ³^uì onjpc jngmìtloc
sd
aded npilonr dm in rdglÿm
iljltnan pcr ins acs pinons pnrn
qud
qu
d di di
dido
dotr
trÿm
ÿm oc
ocmt
mtlm
lmöd
öd oc
ocm
m
trnydotcrln rdotliêmdn3 Lmalqud in
alrdoolÿm ad alohc onjpc dm in
`gurn.
o) _u
_upc
pcmg
mgn
n qud
qud,, umn vd
vdzz np
npil
ilon
onac
ac
di
onjpc
oniouinac
nmtd
nm
tdrl
rlcr
crjd
jdmt
mtd,
d, su
supc
pcmg
mgn
n qu
qud
d
ounmac di didotrÿm hn rdocrrlac
I
umn
alstnmoln
: 5 RPZ.
j sd³Nionmzn
qultn in
udmtd
ad Pc : >;;
n snilr di didotrÿm ad ins pinons
pnrnidins3. Lmalonolÿm6 tcjd d/j
: >8 X >;>; RJB_Z .
>4.. _u
>4
_upc
pcmg
mgn
n qu
qud
d di sls
slstd
tdjn
jn qud sd vd
dm in `g
`gur
urn
n sd dm
dmou
oudm
dmtr
trn
n dm um
pinmc vdrtloni, acmad g ds in
nodidr
no
didrnol
nolÿm
ÿm ad grn
grnvdan
vdana.
a. N trn
trnvìs
vìs
adi ninjerd rdotliêmdc lm`mltc olrouin
umn ocrrldmtd L> dm in alrd
alrdoo
oolÿ
lÿm
m
lmalonan. In dsplrn rdotnmguinr, ad
aljdms
alj
dmslc
lcmds
mds n y e, dstî
dstî ue
uelo
lona
nan
n
pnrnidin ni ninjerd, n umn alstnmoln
a ad ìi y pcsdd umn jnsn j.
Dmoudmt
Dmo
udmtrd
rd in ocr
ocrrldm
rldmtd
td L5 qud aded
ol
olro
roui
uinr
nr pc
pcrr in ds
dspl
plrn
rn (l
(lma
malq
lqud
ud di
sdmtlac ad diin), pnrn qud
pdrjnmdzon dm rdpcsc dm in
pcslolÿm sdþninan.
>0. Dm um ds
dspnol
pnolc
c ad onj
onjpc
pc jn
jngmìtlo
gmìtloc
c
ocmstnmtd
, um ctÿm 
-
d
dxpdrljdmtn
um adonljldmtc 
+
+ d acmad d rdprdsdmtn ni didotrÿm y
↕
d+ n um pcsltrÿm. In onrgn ad
adii
didotrÿm ds -d 9 ; y in adi pcsltrÿm
pcsltrÿm
ds +d2 nje
njecs
cs tldmd
tldmdm
m lgu
lguni
ni jnsn j.
Ocjc
Ocj
c rds
rdsuit
uitnac
nac adi ado
adonlj
nljldm
ldmtc,
tc,
njens
pnrtêouins
naquldrdm
tr
trny
nydo
dotc
tcrl
rlns
ns ds
dspl
plrn
rnid
idss oc
ocjc
jc sd
judstrn dm in `gurn. Di rnalc ad ics
jnmtcs
jnm
tcs oliêma
oliêmarlo
rlocs
cs pcr ics oun
ounids
ids
tr
trnm
nmsl
sltn
tn on
onan
an pn
pnrt
rtêo
êoui
uin
n ds U, y d i
pnsc nxlni dm umn vuditn ds s.
Adtdrjlmd in rnpladz ocm in qud sd
judvd onan pnrtêouin.
>7.. _d tl
>7
tldm
dmdm
dm ac
acss on
onei
eids
ds rd
rdot
otli
liêm
êmdc
dcss
lm`mlt
lm`
mltnjd
njdmtd
mtd inr
inrgcs
gcs ocm adm
admsla
slana
na
ilmdni ad onrgn , sdpnrnacs pcr umn
alstnmoln a, jcvlìmacsd n vdicolana
v ocmstnmtd. Dmoudmtrd di vnicr ad v
pnrn qud in ntrnoolÿm jngmìtlon sd
ocjpdmsd
ocm
in
rdpuislÿm
diìotrlon. ³Ds rnzcmneid dstd
rdsuitnac3.
>8. Ocm
Ocmsla
sladrd
drd acs onei
oneids
ds ocnx
ocnxlni
lnids
ds ad
rnalcs n y e ocjc judstrn in `gurn,
ouyc dspnolc lmtdrlcr sd dmoudmtrn
vnoêc
vnoêc.. Ic
Icss on
onei
eids
ds sd dmou
dmoudm
dmtr
trnm
nm
sdp
dpnr
nrn
nac
acss n um
umn
n al
aldr
drdm
dmo
oln ad
pctdmo
pct
dmolni
lni Pc y dmtrd diics dxlstd um
onjp
on
jpc
c jn
jngm
gmìt
ìtlo
loc
c hc
hcj
jcg
cgìm
ìmdc
dc
. Adsad di olilma
olilmarc
rc lmtdrlcr sd
ililed
edrn
rn um di
dido
dotr
trÿm
ÿm ad on
onrg
rgn
n -d y
jnsn j. Di cefdtlvc adi prceidjn ds
dmocmt
dmo
cmtrnr
rnr di vni
vnicr
cr jîxljc
jîxljc ad E ad
jcac
jc
ac qu
qud
d di di
dido
dotr
trÿm
ÿm ililed
edrn
rnac
ac mc
ohc
oh
cqu
qud
d oc
ocm
m di oli
lilm
lmar
arc
c dx
dxttdr
drlc
lcrr
(nionmod
n
anr
in
vuditn
pdr
pd
rdo
dottnjd
jdmt
mtd)
d).. Ns
Nsuj
ujn
n qud in
vdicolana
adi
didotrÿm
tldmd
scinjdmtd ocjpcmdmtds dm di pinmc
ad in `gurn.
n) Dmoudmtrd
di
jcjdmtuj
nmguinr adi didotrÿm dm umolÿm
ad in onrgn d, di onjpc
jngmìtloc E, in alstnmoln ni dfd
adi olilmarc lmtdrlcr r y
jcjdmtuj nmguinr lmlolni Ic.
e) Ns
Nsuj
ujld
ldma
mac
c qud ic
icss di
dido
dottrcmd
rcmdss
snidm ocm umn vdicolana lmlolni
vc
≈
;,
dmoudmtrd
vdicola
vdic
olana
na qu
qud
d td
tdma
marî
rî
rjnx, ds adolr dm r : e.
in
dm
o) Jdalnmtd
ocmsdrvnolÿm
ad
dmdr
dm
drgê
gên,
n, hn
hniiiid
d ctrn
ctrn dxpr
dxprdsl
dslÿm
ÿm
pnrn in vdicolana rdolìm
oniouinan. N pnrtlr ad dstc
dmoudmtrd di vnicr qud adedrên
tdmdr E, ad jcac qud n ics jîs
di didotrÿm vcivldsd dm r : e.
><. Tm one
oneid
id ocn
ocnxlni
xlni ju
juyy inrgc o
ocmslst
cmslstd
d
dm um olilmarc sÿilac ocm um rnalc
lmtdrl
lmt
drlcr
cr ad rnalc n, rcadnac pcr um
ons
nso
onrÿ
rÿm
m
oliê
oliêma
marl
rloc
oc
oc
ocma
mauo
uottcr
ocmo
oc
moìm
ìmtr
trlo
loc
c ad rn
rnal
alc
c lmtd
lmtdrm
rmc
c e y
dxtdrlcr o. Di ocmauotcr lmtdrlcr tldmd
umn adm
dmsslana ad ocrrldmtd mc
umlcr
uml
crjd
jd
ac
acma
mad
d  ds um
umn
n
ocmstnmtd. Di olilmarc dxtdrlcr tldmd
umn admslana ad ocrrldmtd
acmad  ds umn ocmstnmtd pcsltlvn.
Ics ocmauotcrds iidvnm umn lguni y
cpud
cp
udst
stn
n oc
ocrr
rrld
ldmt
mtd
d ad jn
jngm
gmlt
ltua
ua Lc.
Dmtr
Dm
trd
d nj
njec
ecss oc
ocma
mauo
uotc
tcrds
rds dx
dxls
lstd
td
vnoêc.
n) Dmou
Dmoudm
dmttrd ic
ics vn
vnic
icrd
rdss  y  dm
tìrjlmcs ad n2 e2 o y Lc.
e) Ad
Adtd
tdrj
rjlm
lmd
d di on
onjp
jpc
c jn
jngm
gmìt
ìtlo
loc
c
dm tcac di dspnolc. Dxprdsd sus
rdsuitnacs dm tìrjlmcs ad n2 e2
o y Lc.
o) Udnilod um grî`oc E ocm
rdspdotc
rdspdo
tc n in alstnmoln adsad di
dfd ad sljdtrên r.
5;.. Oc
5;
Ocms
msla
ladr
drd
d ? ninj
ninjer
erds
ds rd
rdot
otcs
cs ad
sdoolÿ
sdo
olÿm
m trn
trnmsv
msvdrs
drsni
ni ads
adsprd
prdoln
olneid
eid,,
lm`mltnjdmtd inrgcs y sdpnrnacs dm
sê um
umn
n al
alst
stnm
nmol
oln
n a. Ona
Onan
n nin
ninjer
jerd
d
iiiidv
dvn
n um
umn
n oc
ocrr
rrldm
ldmtd
td L, dm in jlsjn
alrdoolÿm (pdrpdmalouinr ni pinmc ad
in hcfn y hnoln nadmtrc).
n) Dmo
moud
udmt
mtrd
rd in ue
uelo
lon
nolÿ
olÿm ad ics
acss pu
ac
pumt
mtc
cs ac
acma
mad
d di on
onjp
jpc
c
jngmìtloc tctni sd nmuin.
e) _u
_upc
pcmg
mgn
n qu
qud
d di n
nin
inje
jerd
rd odmt
odmtrn
rnii
sd ad
adsp
spin
inzn
zn rê
rêgl
glan
anjd
jdmt
mtd
d um
umn
n
pdqudþn
pdqudþ
n alstn
alstnmoln
moln y (y ≦ a) dm
al
alrd
rdoo
oolÿ
lÿm
m pd
pdrp
rpdm
dmal
alou
ouin
inrr n in
iê
iêmd
mdn
n n in iê
iêmd
mdn
n sc
sce
erd in qud
qud
dstîm
dst
îm alspuds
alspudstcs
tcs lml
lmloln
olnijd
ijdmtd
mtd
ics ninjerds, jldmtrns ics ctrcs
acs ninjerds pdrjnmdodm `fcs.
Onio
On
ioui
uid
d np
nprc
rcxl
xljn
jnan
anjd
jdmt
mtd
d in
udrzn mdtn pcr umlana ad inrgc
qud no
notö
tön
n sc
scer
erd
d di nin
inj
jer
erd
d
adspinznac, ni prljdr cradm ad
y.
5>. Qrds ninjerds lm`mltcs dstîm
uelo
ue
lona
nacs
cs,, ju
jutu
tunj
njdm
dmtd
td pn
pnrn
rnidi
idics
cs
dstîm
crldmtnacs
pdrpdmalouinrjdmtd ni pinmc ad in
hcfn y uelonacs dm ics vìrtlods ad
um ounarnac
ounarnac ad inac a. Tmc ad diics
iidvn ocrrldmtd 5L qud dmtrn ni pinmc,
jldm
dmttrns qud ics ctrcs iidvnm
ocrrldmtd L qud djdrgd adi pinmc ad
in hc
hcfn
fn.. On
Onio
ioui
uid
d di vdot
vdotcr
cr on
onjp
jpc
c
jngmìtloc dm ics pumtcs [> y [5.
55.. _d tldmd
55
tldmd um oc
ocmau
mauot
otcr
cr dm in cr
crjn
jn
ad umn onpn oliêmarlon rdotn, lm`mltn,
ad rnalc lmtdrlcr n y rnalc dxtdrlcr e.
Dstd ocmauotcr tldmd umn admslana
ad oc
ocrr
rrlldmt
dmtd qud,
ud, dx
dxp
prd
rdsn
snan
an dm
occradmnans oliêmarlons, ds6
Ocm  y  oc
Ocm
ocms
mstn
tnmt
mtds
ds oc
ocmc
mcol
olan
ans.
s.
Cetd
Ce
tdmg
mgn
n di on
onjp
jpc
c jn
jngm
gmìt
ìtlo
loc
c dm
tld
ldm
mdm um
umn
n îm
îmg
gui
uic
c  dm
dmtr
trd
d di
diin
inss
ocjc sd liustrn dm in `gurn.
Dmoudmtrd in admslana ad udrzn pcr
umlana ad îrdn d lmalqud sl in udrzn
ds rdpuislvn c ntrnotlvn n pnrtlr ad
ics alstlmtcs vnicrds ad .
tcans pnrtds.
5?. _d tldm
tldmd
d um ocmau
ocmauotc
otcrr oli
oliêmar
êmarloc
loc ad
rnalc U, juy inrgc, ocm ocrrldmtd L y
um ocm
ocmauo
auotcr
tcr pin
pinmc,
mc, tnj
tnjelì
elìm
m juy
in
inrg
rgc,
c, oc
ocm
m oc
ocrr
rrld
ldmt
mtd
d su
supd
pdr`
r`ol
olni
ni L“
olrouinmac
pcr
ìi.
Njecs
ocma
oc
mauo
uotc
tcrd
rdss sc
scm
m pnrn
pnrnid
idic
icss y di
ocmau
auo
otcr pinmc y di dfd ad in
ocrrldmtd qud olrouin pcr di olilmarc
scm ocpinmnrds. _l di pinmc
ocmauotcr
ocmauo
tcr tldmd nmohc n y di dfd adi
olilmarc sd dmoudmtrn n umn
alstnmoln e adi crlgdm, dmoudmtrd6
n) Di onjpc jngmìt
ìtlloc scerd di
dfd x pnrn x = n.
e) In
udrzn
dmtrd
njecs
ocm
cmau
auot
otc
crd
rdss pcr um
umla
lan
na ad
icmgltua.
51. Ocm
Ocmsla
sladrd
drd acs pi
pinon
nonss jdt
jdtîil
îilons
ons lm`m
lm`mltn
ltnss
sd
sdpn
pnrn
rnan
anss um
umn
n
alsstnmoln a. Dm su
al
suss rd
rdsp
spdo
dottlv
lvn
ns
pnrni
pn
rnidin
dinss
⫦>
y
⫦5,
pinons
uydm
ocrrldmtds
dm
alrdoo
alr
doolcm
lcmds
ds nre
nreltr
ltrnrl
nrlns
ns,, ins oun
ounids
ids
54.. Tm on
54
onei
eid
d ad oli
liêm
êmar
arlo
loc
c ad rn
rnal
alc
c U
ii
iidv
dvn
n umn
umn ad
adms
msla
lana
na ad oc
ocrr
rrld
ldmt
mtd
d
. Di oneid tldmd um hcyc
oliêmar
oliêmarloc
loc ad rn
rnalc
alc n pnrnidic ni dfd
adi olilmarc n umn alstnmoln e ad ìi.
Judstr
Jud
strd
d qud di onj
onjpc
pc jng
jngmìt
mìtloc
loc
admtrc ad in onvlana ds umlcrjd, y
dmoudmtrd su vnicr.
50. _d tldmd
tldmd acs ocr
ocrrld
rldmtd
mtds,
s, njens
njens ocm
lguni sdmtlac. Tmn ad diins ds umn
ocrrldmtd pinmn d lm`mltn ad
adms
ad
msla
lana
na il
ilmd
mdni
ni B y ctrn ds umn
ocrr
oc
rrldm
ldmtd
td ol
oliêiêma
marl
rlon
on lm`m
lm`mlt
ltnj
njdmt
dmtd
d
inrgn
ouyn
admslana
ds
. Dmoudmtrd di
vnicr ad Fc dm umolÿm ad B qud hnod
qud di onjpc jngmìtloc rdsuitnmtd
dm di pumtc [ uelonac n umn
alstnmoln U/5 adi odmtrc adi olilmarc
sdn muic.
57. Ocmsla
Ocmsladrd
drd ? al
alstrle
strleuolcmd
uolcmdss ocjc sd
judstrnm
judst
rnm dm in `gurn. Tm eicqu
eicqud
d ad
nmohc w iidv
dvn
n umn admslan
ana
a
vciujì
vci
ujìtrl
trlon
on uml
umlcr
crjd
jd ad ocr
ocrrld
rldmtd
mtd
. Tm oneid lm`ml
lm`mltc
tc ad rnalc U
iidvn umn admslana ad ocrrldmtd mc
umlcr
uml
crjd
jd
, acma
acmad
d r ds in
alstn
als
tnmol
moln
n ads
adsad
ad di dfd adi olilma
olilmarc
rc
y  um
umn
n oc
ocms
mstn
tnmt
mtd.
d. Di ei
eicq
cqud
ud sd
dmo
dm
oud
udmt
mtrn
rn n um
umn
n alst
alstnm
nmo
oln a adi
olililma
ol
marc
rc.. _l sd oc
ocic
icon
on um ninj
ninjer
erd
d
ocm ocrrldmtd
ocrrldmtd L n umn alstnmoln s adi
a di
odmtrc adi oneid ( s 9 a ), adtdrjlmd in
u
udr
drzn
zn pcr um
umla
lan
na ad in
inrg
rgc
c qud
sldmtd di oneid ocm ocrrldmtd L.
5<. Ocm
Ocmsla
sladrd
drd acs ecel
ecelmns
mns juy inrg
inrgns
ns
ad rnalcs U> y U5, ocm M> y M5 vuditns
pcr
umlana
ad
inrgc,
rdspdotlvnjdmtd. In ecelmn ad rnalc
dmoudmtrn
trn lmsdrtn admtrc ad in
U5 sd dmoudm
ecelmn ad rnalc U> ocjpnrtldmac su
jlsjc dfd. _l pcr in ecelmn dxtdrlcr
olrouin umn ocrrldmtd L>, adtdrjlmd6
n) In ocrrldmtd L5 qud olrouin pcr in
ecelmn lmtdrlcr, sneldmac qud di
onjpc jngmìtloc pnrn r 9 U5 ds
muic.
e) [n
[nrn
rn in
in oc
ocrr
rrld
ldmt
mtd
d dmo
dmocm
cmtr
trna
nan
n dm
in pnrtd
pnrtd nmt
nmtdrlc
drlcr,
r, dmo
dmoudm
udmtrd
trd in
udrzn pcr umlana ad îrdn qud
sldmtd in ecelmn lmtdrlcr.