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dvoxkror6 nixL<opcgendyowcr 4lexrpelcpuroi drivolrq
xor peiipo, lfpgovo ge rov v6go rou Faraday q IIEA
xor o pu0p6g prafiohiq qg poyr'{rraig porig eivor
noor5rrprrgforg xar' orr6lwq rrg{.
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dvqgoyoydq xrv€irqr o€poyvqrrx6 ne6io, 4
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Eopric rou oyr,ryori.
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dxernriwore r6rorc qropd(iqr€ vo ol'trri0eror mrl
prro$otrri r4g po1'wtruoig porig rou ro rpo{dfuot.
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gr16ror4prlrrxd qtra<rprxd u6io. Kaprd otcr rx{
roravopri rpopriou 6evpnopei vc 84luouppioer rdloro
4fuxrprxri ue6io.
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xuxfuxri peripcra oecyoiplo ufuxri uou ovopti(oupe
6rvopaip<rro.
o Or 0epehci6ergoxdoerqrou 4lexrpopoyv4rropof
luroporiv vc ouvoqncnofv pe xoprp6 rp6no orrg rdooeprg
efrot6oergrou Maxwell.
f I rov prllereprcraodto oro pdyvry6cpovoyrdvdxlv oxofosrsperIV
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-t Tlouxtcocs,ovoQrDTLrfirpeJroroxQoJroJroQcYrx0r,Ipouor?{l0.fiollv
torvfo;H rrtrnQoqoQfos(vorofioOlxrutrdvlotIVxow(ooErroldpuxQtS
l.rdyvlxropdvrsnsQroxdE(rqErdEqEtou0,001mln{ 1pn).Merondpaopcr
o,uxdvxovfuxQooxomli6vFoyvlx6vofidxlv 'ieqotr{ovarrcQoyoy4g
€fldyowolQ€lil,rdxo,fiou€vloxfowdr,up(orovrdrrmEeQyoo(oxor€Lodyo{or
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rroQd8€LytroItrElrxQoFdyvlxrxliE€xrdycDyriE:KdesXQovLlrdprxopotrtrdFsvo
Foyvl{Lxdfis6(ofiQoxotrsiltrsxxQr?rciqerlpooexdxtrcopa,otdpqror ov 6rv
urrdQxsrpnoxoQ(o,rj ti),),qcpovep{rTly{IlertQrysQtlx{gSdvcpqg(HEA).
OrxeqatrdErouo6qyor36(oxor"roeurotroyLoxlibropd(ouvt-rrrov i6torQdrro
xrErrtrIQogoQ(€ExrouE(vdLFdyvlflltti cnoorlxeupdvegotov6foro.
Xroxeqdtrcr,oour6elerti(ouperrlvrll,exrqeyegr,xrjSdvoprlrou
JrQor{,otrodvorla}2?a24iEotrtrqtrsJT[8Qdoer,g.Ol frayvlrrxd€roydF€v€E
rltrextgeyeptlxdg6ovdperEe(voruns{iOuveE.1lorq trenoupy(ono}.trr6v
sqdQrnprdrovor orlyXqovorltrenrqLXdo'uoflltloxorox{oE,6n0rEe(voLor
yew{rQlrg,o[ psxcoxT]porrordsror orxrvrl'niQrE.ALqdra ouorrjploro6ev0o
rjrav8uvcrtivo undqlouv,edvdrpefi€vo pooloxotp€osXl'lturcdErqydE
l),€?crQ€y€Qrrx{E6rjvoprlE,dnoEe(voLor frroroQ(sE.
To xevrpnt60dpcourof rou1.(€qdtro.(outwat,o vdpoErouFaraday.
Aor<iEo v<iproEouvbd€rr"4vsrroydpsvqHEA per'4tlsropotrLdp€v'4troyvlrrxrj
Qo{o€dvdpqd1o,rou ouxvde(vordvd}i},elordxrjxtrorpro.MetreropeerioqE
xov6lrcxouLenz,rou tlos|3olod€rvo rrQo0tr6rfouli€rl qoQdrns
€fioydFevrlEHEA xdrrouQsdpoxoE.Aurdro xecprilioro€rodysLxlgguoLX6E
oQXdSfiouojrorrotwoLyrovo ?(orovo{ooupexI trer,rouqy(aouoneuc'-rv
pexoxQorlliEEVdQy€rog,drr(Osl vrlrripeg,yewrjrprsEl.idrF€rooxlpoxrotdE.
En(oqg,nqoerorpdlerro d8atpoEyrorlv ovdtruolxovrllsxrpoproyvlrrxdv
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![3O.I TIEIPAMATAEILA.TOTHE
3O-T IIEIPAMATA EIIAf QI.H):
Kcrd rr16r,dpxelcrlg beroer(ogrol 1830o MichaelFaraday(Mtiutl,<Dtipcwei)orlv
A1'yl"(cxcuo JosephHenry(T(rlletpXdvgl,o lgrirog 6lel0uvr(grouIvotlroftou
Smithsonian)mq HvrrrprdvrgIlo),nefegqg Apeqr,xrig,rixovovno).)"dnpoxonoptcxci:rrr-
priparapegcyvlrLxrigencldlrevrlHEA.ToX1.30-1beilperpeqrxrircgcbe(.1pcrc.2ro
)1. 30-1advcnrlvioo'uvbderor,pe'yatrBovdpsrpo.Ora.vo pclv{rqgnol pploxerctxowci
oronlvio eivorcx(v4rog,6evnepvderperjpconriro lalpcvtipetgo.Aur66evpcEex-
n),{ooer,proror 6evrnriplerrlyrj HEAmo xrjx},clpc.Orcvriporgpercxlvrloouperov
poTvrirl,qdQvowriErovmoxowtl,{ cnopcxgrlvorrciErovcndro n1vio,r<ftero'yatrBo-
v6perpo6efper6rrrepvrinplipo moxfxLltpa,p6t'oxal6.'t16uipxelcn1gxivrlolgrorr
palvr]r1.Av lponjoouprecx(vrlrorov purlv{r4xal petcrxwriooupero qvio pero yotrBc-
vdtrrerpo,noporqporjpexarrd).rllsxrqLxciqeripcxurdn18urigxelcqg rivrlorlg.Toperi-
poourdovopd[€rdr.ecoyripevoqeripoxaL1 cwimolp HEAnor cncnelrcryr.cvo ro
rponal6osrovopdlraueraldpev1HEA.
(a) il (b)
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e r--:fl
30-l (a)
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[o A,rirlEr{our[ve[ro[ irQo(,rlvio ouvEebepdvopreyclpavdFEipoErdy€rd.€tilQrrd QE{uo
orodrlvio.Kard qv onopdliQuvorllou [ol,,iq cro ro nqvio,ro e:rcryopevo ge pc exELclrioeq qo,oti.
(b)'Evq b€irspo'ilvio, io onoio6rdpQierdrcridQef[c, riNefrolrQo(ro:qvio roo eivcrouvoebepdvo
peTo lclpovriperpo xcu€ridy€rpsiFq o€drid. K.fid qv coropdrQuvorlrou evdg,rlviorJo,rdio dl,lo ro
€rll-rld[€voQei[q dX€rr4vowi0eq qopd. (c)
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r].€io€ro brordtirlE,dvo[etcrpol]d1tevoQef[c,
oro eocorepLntimlvioendyeLperjpooro1cl,pov6[ErQorioueilcLouvDebepdvopeto ci),].oqvfo.
2ro XX.30-1bcrvnxc0lo,orjperov pclvrjrrlpedvo6er'repon1vio,ouv6sbsp6vope
pnoragfc.Orcvro ierimgonlvio eivcLcx[vr1ro,6evnepvdelgeipaondro npc6ro.
Orov,dptoE,perczLvrjoorpero 6eriregonrlvioqdgvovrcEro nroxovrdrlamponptivo-
vrdEro ord ro nqc,iro,i drovpero.xLvrjoolpero ngc6ronlvio peol"riotollorpdnoorE
rgogro 6eire.oo,rdrero n.oc'irorqvfo8Lcqqdercr,cn6qsripc,alld xoundh pulvom1v
repfnrolo4nol ro dvcr4r,iorrveirortognpogro dl"l.o.
Tel.rzti,lplorponol6vrag148rdralrlrtov6{o n1v(rrrvror 11.30-1c,xpcroriprrro
6io n1v(ncxfv1rcxa,rperaBdllorpLeto pe{pcoroOetirepor1vio,eitecvoilovragrcl
"e(vovtcgtov 6roxdnq,e(reperapd),lowcgl1v cvr(orcoqR (perov 6lczd:n1xl.er,-
ord).Alrd rou rogcqqotlpeefvorot rc0rigcvoi.lolperjrd"ei:r,oupLerov6r.cx6m1unti,o-
Xerdva-<mlyplc[oEnclpriggerjpcroEoTonpc6toxr3n]"orpo.)rqv ne.oinrcoolperopo].tjg
14gawiorcolg (xcr,rigc ror.rperlpcrog)oro6erireponrlvfo,roqcrqpodpeeno.ldpevo
peipc oronq6rox{xkopc, privo6pogrcrd 116ui.oxeropercpo},rigrol .oeuparoEoTo
6eftegozrlx)'orpc.
frc va6leperrvrjooupeneproodmpora rorvrioqpe[anol nsqL]'appdvowuloTlgrc-
pandvoncpcqprjoerE,0oelerdoorpsptal.enropegdmeqloeLgdner,paprirovpeq 6ld-
rcEl nounapolord(erro 11.30-2.llv8dolge dvonqvlopeyc],Bcvriperpozcl ro rono-
geroipLecvdpeooorouEnciLouErvdElLezrgopalvrjrq.To pclvqrlxdrs6iorol llexrgo-
pclvrjr4propeivo petapdl.l.eror.@crraqarqgrjooupercrelrjE:
1.
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ollexrqopc.lvrjllE6ev8lcqgderalonripei;ro,rdreB = 0xarto Tsl.povdpe-
rpo6eixvsrrftl6evnepvder,perlpa.
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ro ne6ioB sivqr
oiooeQdrq[ro ot{po rol I 060l
roun4viou6evpetcpri).l,owcl,6ev
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flrclexor oTl! n€QUTTooIJrou
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![840 KEOAAAIO 30 HAEKTPOMATNHTIKII EIIATOTH
2.
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o lLexrqopcyvrirlgreOefoe].elrorp1[c,dvaorlyplcfo1].exrglxrignipcnrg-
vrieLo16ro 1c),Bcv6psxQoka06qauEdvrrroB.
3.
'Orcv
ro -BanoxnioslpLcnrc0eprjrLpr{,ro qerjpcp16ev(ercl6oope^yd},oxr,cv e(-
vo.rro-8.
4. Ar.uqqrivrcgro n1v(ooro ogl(fulo rn(ne6oro ncqapoqgrivouprrriorevc perlOeI
1 err.qtirerdror. To yc)'portipetpoovty"ttitt pxtgaxard rq 6d.pxeLanlg napa-
p6pptoolg.Encvcq6povrcgro nqvioorocplLxdrouopjpa rcpoqpodpre,xc0tiE
mldvel q enlgriveldror-r,perjpapea.w[0eqqogri.
5. Av oTpdrpolpero qvfo xcrri pepr,x6Epolqegyripocnriopr,[dwr,od[ova,to 1a]"po-
vdperqocvllveieugti1ta,xal6 t16lriprelc qE negrrgoqrig,nol d1er,r1vi6lc qo-
Ei peounjvnol e[1ctircv e]'arrovdrcv1 enlqdverc.ror.rrqv[or. Oravcvrlmgd-
rl.rolpe116r,c6r,xco(cylc va.ro encva.qdgotrpeorqvcgl,xrj ror 06o1,avllvniercl
qeilpcpeqv cwiOenlpoQdxordq 6rdQrer,cqgnegr,orgoqriE.
6. Av rgcpriloupero n4v(oandropaxal ro Byil.otrpean6ro ;rc1vr1rlx6ne6(o,0anc-
QorlQriooupeQelj1loxorrin1ilcigneuaqE xw1o1gpe14qogtinoue[1edrcvelcr-
TovdTo.vI erlqdvsr0Tourlvaou
7. Av peuioolperovcqr,0p6rorvnegmlfteclvoronqvfolea].i^yowagprarjirrqmocire-
peEcndou6E,ncpmlporipe,xcrtiq 8ldqxelarotrleru),,[1;rcrog,qeripcpr n1qoqci
noue(1erirorrel.omov6rcv1 erlqdven.Av rul.(olpe xc,r,dl,lo orippcoro:r1vuo,
r6re0anoqaqq{ooupeperipapeawi0etl popri.
8.
'Orcv
anoou6doorperovrllexrpopcyrnjrl,napcr4.oorjpeoTr,rlpr"aioperipopeqopri
cvr[0er1cn6aunjvnotre[1edravrovOdrcpeoeleltoug^yfa.
9.
'Ooo
rcyirepayfveLonolcb{norecnring cllal6g audg,rr5ooneqr,oodrepoqeripc
dlcqgdelro nqvfo.
10. Av ercvckiBolpe6)rcotrtdrc neqtipcrcpen1v[onotrdleLro (6Looxipc,alki ei-
voLtcrcoreuoopdvoonti6r,agopetlxiulrlxtixcr,dlel Elcqoqerulricvriorcol, ro
qe{pc0o eivcr,,oexd0erepimooq,cl"nmp6cpcrrEcvd},oyor1go}"r,mjEcr.'r(oroo4E
rol xuxl,c6pcroE.Arrd 6r(XvrrdrLor,rfla^ydpevsgHEAfiou6qpu,or-rp^yorivro pniga
6evelopnt6r',rolorri to rl"r,xdrotrnlviou,alld privocn6ro ofipc ror xcl cndro
pcyvlrr.x6re6[o.
To norvdororleiooedl.aaurdro nelpriporae[vcr,1 per,aBa),,]n61ttqpaTurpxrj
porjQ" yftaaan6rc rqv[o. Kdveredvcvd]"e11ortovnopondvoJroQdrrlqioeovyrovo ro
enr,peBcloioere.)rjpgrovo,perovvtipoencyoyjgrotrFaraday,noue[vor,to Odgrorouerri-
prevous6opiou,oedl,eEcwdgu,gxoraordoer,E11enaldper.4HEAeivclavril.oylrouqr0-
potjp*aBo),tjEr1gltoTl1rrlrliEQo{EOsnotr8ucnegrdro ridr}.rrrpcror q cpopdqE enali-
pev4EHEAe[optritor.ondro cv q po( clldvncu { ;reuiverar.fic n1v(opeNnavopolri-
ruregonefqeg,1HEArqgplcgorefpagro]'i'ar].uordlerauerlN.
3O-2 o iox'ror roY FARADAY
To rolvdlagcmlglorrxti 6l.ovrov qar.vopdvoverorloyjEe,vdrI l.ttraBol)"6prvlpo-
lvrpr,xrjporjrotr blureqvddvcnrixl.opa.X(:ppwa p.ewt u6porouFaraday,1IIEA nou
entllercroedvcnrixln,ltynzfuu,ald).op1rouquOporipetoBo),rigrqgtrro^ywpr.lriEporjgnou
6t0repvdro nrix?lopo.flq6ro, agencvelertioorj;.ler1v dwolcr4gpc.lvltlxrigporig@,
(E6.28-3):Xroqefomtpf^tengdAppioxercrpdocoepclvrylxdne6[o.B 1 pc^yvlrlxri
porj/O, nounrgvcipdocurd qv crrqriveraeivcr
d@u=3 tr4= BdAcosQ'
rirou@efvcr,1
^yrov(c
1.ntaQ(r,avB xatd.A.(Ilpoooli orov6n1aplop6 perclri / xcl @r.)
H ol,r,xrjpa^yvrplxriporj@,p6ocald plo enr,qriveneivcr.Tool,o?iMQopoatxtiEqE 6x-
qQ0olEfidvooqv sfirqdvs|,0:
o"=ln.u=lnu"o,o.
Av ro 8 efvcropopvdg oe ;lc en(rs61entqdrtel'oA,r6r.t.
(30_1)
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![3O-2 ONOMOETOYFARADAY
:ra E!. (30-1)xcl (30-2)lpdreLva efpc.orengooerrLtoi1tdr.vo oQ[oouptps
ocrp{vercr1vrcre{Ouvo1trrr bravuoptiru,tA xctM.Yn6.q1ouvndvro6{o xmerOfv-
oelgnol eivclrd0ereEoeonorabr{noree:rrqdveLo.xcLro nqdolpot1Epa.lvlrutrjgpotiE
nou6lcrepvdr1v enlgdveroelaprdrcl cnrir1v xorefOuvorlrou enuLdlapevc.efvct
0eruxrj.
Ovripogeraytolr(grouFaradayop(erdt:
H enuydpevloedraxrixkrrpaHEAloorltorpeto cgvrltrxtllou qu0poripe-
tapohig tqE pap"rplxrigqorlgaou8loregvrito mixltrrpo.
Meofppol'c,ovtipogror Faradayefvol
^ da"
a[
Iro va larcldporpe q oqpcofcror.ropvryrxorjnpoo{pou,lqdneLvc eLocycilouptpLc
orjppcolnqoorjprov1r.or1v enaldprevrlHEA,€. Ag6o{peripargrpc6rc6vccn},cirapci-
berypuegoppoyjEartodror vripou.
I IIAPAAEIf N{A 3O_1
841
(30-3)
Pnipo aou endyxran oe pqdlo )ro X1. 30-3 ro pqWI-
rur<ine6(oovdpsoq oxougrdl.org rou ll,ExrQopqyv{nl s(-
voLopolevdE oe nriOelpovlnri oru'yprj,c)"},douldver pe
prop<i0,020T/s.H sfirqdvsLoro! oyrrilupoupprjlou p6oo
qro ne6io eivor,120unz xat 1otrlnf cwiorooq rou xunl6-
poroE,po(i pero 1oiBav6perQolior rov cvflordrq, eivor
5,0O. NG PQe0€f! tro1,6p€vqHEA, xs06E ?icrrro enoY6-
p€voQ€1ip0oro }rli?iL(Dpa.
AYEH H Er,rpdvEtctA = 0,012m'zeivor ord0eQi, dQao
Q!0p6EprrcooL{E 11Epapqruxrjgqo{g eivor ro yrvdp€vo
30-3 Axi,txoEd'y6yltlog0Q6IoEoEouqovdpsvol.royvryfid ,rE0io.
qEl €r[frov Qlopd peraBohigro! poyvlxu.iorifi€6fo! B:
d6^ ,tt2
";," - "; o = (0.020T/s)t0.0t2m:)
= 2,4 x 101Y = 0,24mv.
Aurrj eivct n €roydu€vl HEA t. qqilvowdExdrd lcpog ro
npciorlprorou 6evdXougrpe),rrriorro.xriptrl.
Af(er, vcrencvu$epcr,c'ioouperI olvdr€ro povd6ov
orovuwololr,opdcwdv. YrldQxot'vfio].],oilTQ6xlo[vo ro xd-
vouurcurd evcqrpcino<eivqrvc JraQarlpioouurorrcnci
rlv 6lrgQsonytg q pnyvlfl.xrj odvapq F = qi) x B e[oqe
1 T = (1 N)/(1 C . m/s).MnoQo{p€€nopdv0rEvq €nqQ(i-
oou;re11 pov<i6orIE poyvlruiliE eoriE(l)E(1 T)(1 m']) =
1 N . s . m/C,xor rou Q!0pof percBo).rjgqE FqyvlrrxiE
qo{gcog1N.m/C=1J/C= 1V, Apa1 povciBcrqErood-
'qr,aEd@B/dtEicttro volt, <jnogenupdl.l,er q EE.(30-3).
Enio4s.ouulo€irscirr4 povciSor4g pcyrlrtx{g Qorissivqr
1T.m2 = l Wbxouriqo.1V = 1Wb/s.
Tel.lrid,Toenoy<ipevoo'(orlixl,opc Q€{pal eivql
. t 2,4^104Y
,,=
;
=
ff
=4.8x tosA-o.o48mA.
Andpq Osvdxolpe BQEIrl qopd ro! QedpotoE.Autd 0<rei-
vnrro en6pevtipoEB{pct.
OoQdrIE efioy{ipsvtlEHEA
Mnoporipeva pporiperq qogripr,cEenclipevlEHEArj ev6Eenc^y6pevougeipcroE,191-
olporou6waEqv El. (30-3),pc![ peopr,ope'vougxavdvtgrqoorjpoupr rovtlrig tp<ino:
1. Opfnrcrq 0enlrixcreriOlvoqroudlcvioparogl nol lcgcxtlg(er, n1venlqdver,o.
2. Ol lcrel0rivoeLgrol I xcl rorrpc'yvlrr.xofne6[or-rB xc0oq(ou ro rp6oltroxIEpd-
prlrr,rrjggorjgOBxor,Tor.rQt0podtrsrdpoliErSdQsldt. To X1.30-4(ot1oel(6c
842)6ei1ver,pegr.xdncpc6eilpoto.
3. Aqiore ra bdyruLarol delLorlocgleglorjnipalon6ro 6r,tiwopc,4dlowcErov6e-
lri ol.rileupaoqv xoxsriguvolrorr,4.Av I qoQd1rroEHEAtj tv6Eqefpctogoromi-
x).copaefvalq (6r.cpen1cpopdnorroxo].ori01ocvrc 6dpr-rkiocE,t6te eivou0etlrj,
rvuravrlrr qv awiOrr4qoprieivoraqvqrtxrj.](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-5-320.jpg)
![B
842 KEOAAAIO 30 HAEKTPOMATNHTIKH EIIATATH
3G-4 H Fsyvlfl,x{ Qo{ €ivor (a)
Oerwrjmr cu[river,(b) 0ernrjxcr
p€l(liv€io! (c) aQvlr,rii xql
l.r€|,(6v€i0[r0[ (d) 0Qvfllr{ xor
duqd!€1.Apd n Or ouEdveroirE
,r€Qundo€ls(a)xqr(d) risr
peur:veroonE@)rar (c).!16 (a)
r0r (d) orHEA eilor 0Qvryr,rdE
(dxow q qoQdtov 6€u{1ot!iou
pol,oyloricv rr,EncgcqQ{ooupEqrd
rrivo), evc6ong (b) ror (c) eivcr
0€rrxdE(dxorryqoQdswf0Eq qE
qopdEtrovberxldvtou polollo{).
1 a )o " > 0 . $ > s (b)o,>0,19<o
dn
(c)ou<0,ff<o
(d)o,<0,+>0
)ro IIap. 30-1ro-461srxcref0lvol npogxdrldvco.EdvfldQarrlQiooupsondrci-
vo,I osxrltlit oTovpg61od1er,qogricw[oen1qE qoqdErov 6rrrr0ivxo! goloyrod.:r
our6ro rloQdbsrTporol rol B brixvorJvrrQoEra rrdvo,U,rofiord]"eopc1 <D,vaeivol0e-
rr,xrj.To trr6rqoB ctravnat,6paq d@uldteivarOetnrj.Xripgovop€qv EE.(30-3),1 t
rQ6nsrvo si;voroQvltx{ dxrrrrl qoQdxov6rrtx6vrouQolol,rodyiQo ofidrov BQdXo,
dnoE6e(1ver.ro X1.30-3.Av onl e6o1tou pprilourrniple proropao,ro olu,eioa 0oirov
o 0erut6gnd)"ognclro olpsiob o opvrlxr.tdgrtil"og.
To qedpranol rfldysrarofldouxrirlv HEA 61srsfifolErI goQdxov6€r].rdvror
Qoloyro{.AurdblprouQye[dvanQdo0srotroyvry?rdnr6io pdooorovBqdxo,?rolodp-
qovo p€rovxov6vorou6€ErodX€Qroli,I goedxorefuoiovtiq| 4 a1[6dnxrivrou[€6io1J
rou ]IQo}talt(o l],s].fiQopoyvlixlg.Au[6eivor.6voiroQd8sryposvdsyrvrl{ori}{ovdvoJrou
ovopdlero.Lvdpogror Lenz(Asv(),nou0c p,ei"er(oouptoroE6.3H. )ripqtuvopt rov
vtiporouLenzxti0e€fioyoyl]rdporvdpevorei:velvool'nre0€foq p€xopo]'(rlooxor[Qo-
rdlros.:TIV fieQffixoo'4ounip€xoBo],{efvorr'lofE1olroufiei(oupdooorovBQdXo.O
vdpogrouLenz,nc0r6gxcl ro cpvryurriradolpo oqr EE.(30-3),dlouvdpeololdo1pe
rl 8roniQ1olrllE€vdQTeroE.>xeq(riTrrr eoouvdBow€oxT1vneQ(rxroolrlorixoerldyd-
pevogeripceil1er1vdl,raeexqgoQd.Tdxsro rle6ao0od0Qocowovpero r[e6aofiol rrQG
tnrjqle,nqoxckiwcgenl:rqdo0er1ci!1oq oq go{ no0r6grcl orogerjpc.Oc cvnpno-
n(ape praavel6l.e'ymr1xcrdorcol, pero gedpcva auldver,(xcupeouooriqer-ro1evdq-
^yelcgoropcyvlnxdne6[o)1og(gtiquo,rolkil,o,ov 6onouvc lucioelo a1o1<ig.Aw<i
o(youQa0arroQoBio(e116lodp1o1n1grveqrprcgrcr rerorrErcrcmdoeuE6eirouppoi-
vow onl cpiorl.
Kdvsrelir eoeig6vav6l.e11omc rp6o1pc.rov efiaydp€vovHEA rdr,prupcirtrrv
yrctc neqdpcro.noucvc.gdgol'rclo'ror6loEror E6.30-1.fLcrcpri6el1pa,rftcvo ppd-
1ogppioxercr,oeoTc0egrine6[oxcl rov ^yefgoupe
{ rov or.ryn6oouyttdovtcl eAana9ei
r1po{ :rol rov 8lcrneqvri,1 HEArcr ro ge{pcnor.rendlovrcldlorv qoqdavrf0sqqE
rpopciElr.rv6rtxrujvrouqotroytoudrcvrc:rcquqqo[pr cnci:rcivu-r.
Edvdxoup€dvorlvfo peNncvoportirunegonefgegxal 11gorjpercBdl],erclperov
fbr,ogr-r0p6oexd0eoneiqc,ol encl6pevegHEAn1grdOeoneiqageivclioeg,Bgioxowcr.
oeoerprixcl npoorfOewcl.H ol.lxrjHEAeivcl
s =-N44
AT
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![ETPATHI IKH EIIIAYIIIE TIPOBAHMATON
O vdpog tou Faraday
l. fLc vo rrrol,olioet€ xovQruOpdp€rapoli! rIE payqflroig
eoig, ttp6n€LrrQdrrqvc xqxqldp€rcr[ nQor.ctreio1percpol.f
rIE eofE.Krv€aidro oyoy6E;A.l.,rdE€ro npooovorol.uopciE
rou;MerapdLtrerolto l,tcryvlr[r.dJrebfojNo gugdor€drr6€v
61ero4pcoio q i6Ltrq poil, ctl')i o pu0p6gpeaBoAfg qg.
2, No el,pdor€lov ?{ovdvonQoo{pou1rqr1 oerlx{ qopri
?lEpoliErou pay!,ryrriolin€oio! rqr rlE HEA. No rov 1gq-
orpororeir€[€ ouvdn€ro6rda€eoppd(etetrEE!. (30-3)ri
3(L2 O NOMOI TOYFARADAY
(30-4). Av o dytoydE€ivoLrqvio peN oneipeE,polvieXdoe-
T€ac notr.l,orloordo€i€ p€1()N.
3. XQrlorporlo{or€ rov vdpo rou Faradayyra vo Fp€il€ rllv
HEA. Eectppdor€torrExorciveEnpoorjpol 1r,cvtr el4lioe-
rr ro rreooluo nou F'Xsrro qnordl.€oud ooE xql ylo vq tc-
oogiorxr xn eopd rou €rr(tldp€vouQ€ipqroE.Av rl owforo-
ol rou rulcl(bpoxoEefvct|,yvoqr{, rdre |r'iop€fT€!q uro},o-
'/io€I€ ro e€ipc.
843
-EvG
rlvi:o rlou trnoxrtr€irordn6 500)rur.),lxoi( 13QdXo!E
oJQ[crrosp€ czrivo 4,00cm eivcrrono6etlpdvo crvdpeocr
nrolg nr5l,ougev<ig[eyd],ou1l€xxQopcryvirl xo trclvnrrrd
ne6io eivcr,orooepdps xaxs{olvotl 60" an6 ro erineoo
rot' r[Ivtou (>X.30-5). To ne6io e]"orr6vetcrge pl0pd
0,200T/s.No PQ€O€|1 or6l.ur4 rrprjo1Eercrl<ipevlgHEA.
E l i P ' ' , i I I r - t ( ) - :
R
A
u 4's''
lnu" "
u i ! ' 1 ' . r l l i , , - { l - -
AYEH Aral"dlte1Loto,{ rqv zcrterl8uvorlnou dler <xoX1.
30-5. Tdx€d eivnL4 ycrrvicrpettrlri rcov,4xcr B. H Qoi O,,
oeororc6{nor€Xeovr,x{cnLygriefuc 4)R=BA cosC,xcro
Q!0pdE[€roFo].iEx4Epo{g eivo.Ldor/dt = (dBldt)A cos0.
Xqv neqimorq cnrnldBldt = -0,200Tls,1 = z (0,0400m):
= 0,00503m'z,C : 30" (xat t*r (t0"),xat
ria^ ta
i
=:A'o"3u'
= (- 0,200T )(0,00503mr)( 0,866)
= - 0,000871T. mr/s= - 0.000871Wb/s.
EeaQF6EowqErtv EE.(30-a),n €raldp€vnHEA€ivar
€=,NryAI
= (500)( 0,000871wb/s)
= 0,435V.
'Orov
ncpcxrlporjpe(lrd Tq cQ[(x€Qd,rpoE r4v l.lc.rer.iouv-
cr1rou 6ral.ric;rcnogfilg €nr.cpdv€tqE(30' rr<ivtocrn<ito po-
yl4rlx6 n€6ioB), I eetrxr]qogd yLtrt1v t er:vcrn qopd ra)v
bernr6vrou po)"o1toi,ofptgovc{ll€ Tovzsvdvq rou bsErori
l€Qroi. H HEA eivc(r0erLitrixoLdpa dler 14gopd rcor,6er-
?.ir6vrou Qo),oyrof.Av tc rixgc tor oipparoq ouv6e0o{v
gr tvuv urrrorcirn.I poQrrrou QruFqrogmo nlvio fxrl r-
riorlErq gopri rcov6ermov1ol potroyloli.
-Evo
xdxoroQ€i-
pc 6iverrpcioOrr4[oy'llxI Ertrqgtoo cnciro n4vroor4v
f6raxdx€{Orrvonpeq porjord tov 1}.exrpopolvrjq x<rrd-
prcrTeivervo cwlte0€i oxl ptirool rIE o),rtig porjg.
30-5 To lLdlQoro! B prLcivercr.Mer1vzcrri0uvo4 aoudleLrorl,
I polinor 6lcaEpvdTorrlvio el,crroverctpecororfieopo1t la
ri'dl0rrui. Ar'Lcio1r.rrorXrior HEAzuror peufo:rourxrr qoQu
ulrrp ruv 6rrxrurvror pol.nlnrl Trrtnrrp,rrrjprlo4u.rii rooQtmFUL,
ridrdrI! xor€iouvol Toul. To nQdo0erofie6ioB nouriQoricL€i:icr
ar6 ro €rroldpEvoQ€ifo reirsrvo owloxoo[iosLrl [siool inEpoiig.
-EvaE
crl,dg rlo.Ll"6xag
'Ev<rg
rerpcrlrovLrtiEppdlog
:rrprmprr'gtrcrrU€fi(r0FQriyu,vrcrxr1ru;rirrltu ,r '1ripu-ro;rci
cllovcr,6rtog 6e(XveLro )1. 30-6 (otr1orl.i6cr844).To gc-
yvrlrtrldr€6ao€avoro[oy€vdgxar ora0epri.)t1 lgovrxri
onypri I = 0,d = 0.Na 0Qs0ei1 ena16pev4HEA.
AYEH H qoq O, gcocanri rov flqriXoerv<rrioq pero yrvti-
[evo rIE rrngdv€[cr,(l €'[f q1/ cruvrorooorou B fiou rivdl
nti0eq o'tqvenrgdverq,6l),obi B cosd.
Ttire
,1(j..
F = _ : + = u B A s i n o t .
H eroy<ipev1HEA, t, petcpcil,),erctqpltovoer6oqperol
1q6vo(21.30-6b).
EreL6{ 1t €ivor,crvd},oylrtrrv@xor B, 0o U:roeoioa-
pevc lplolponorrjoou[€ qv FIEArr€elo"rpecp<ipevourlvi-
ou yrq vGU€TQlloou[rrlv ruxliTlrrrlrprmpoq{g 1 ro pu-
lv4tLxcireOio.(H crpSjorrrriXpqoLpoxror.€irctos oQropdvc(
tiplovcrltcr 11prdtplol rou payvrlr[rof nebiou.)
'Orcl
ro e-Qp : BA cosQ = BA cosot.](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-7-320.jpg)
![844 KEOAAAIO 30 II,4.EKTPOMATNIITIKH EIIATOTH
n(ns6oxo! Bp<i1oueivorrrdOetoolo B (Q = 0 I 180"),tl O,
qr<lveuorq pdlrotq xcu n1ve)'riy,oq rlp{ qg. T6re o orry-
prc(oggu0p<igperopol.rjgn1Eelvot p16dv,dQqxor ri t €(-
var pq6dv.EfiioIE,I t €iva! U,dytorrl6rtrv ro eninsOorou
pqdlou eivar,nogtil,lrllro oto B (@= 90' i210') xcL't1@s
dlerTqvnroyprjloprl peropoltj.Tel'u?rti,ttopdalQolil.l€dI[ rl
eral<iprevl HEA 6ev efoqttiror, on6 ro oTfpa r'ott pp6aott,
ol"ld pdvoon<lqv errqdvetdrott.
I
- *
J 1 -
J 1 '__ *R
(ar (b)
3G{ (a) lppcrwd ouilpoppo cr}'ot evo vinq, dnor.rdvcgoycolLpogpQ6XoEtreQlmQdq€xdrF6octo€
pa1"ll1[rdx[€6io.To xdoeri4o tou Bp61ol ouvbdetcr,pt to elonepwd dx]"op'x [e lov 6orniho Etiqq{E
S.To oJoq[a rqpouordLeroirl XQo!t]i{mrYui droveivqL.dt= 90' (b)IQoqn{ llsQdoroonqs
erclripevqg HEA orc tir4o ab, nooo-rvo6eierq!ctid iotE owiolotxoug ltpoocvcto].toporigrol ppdlou
rcrci rq 6rcipxrrtrprcE:rLiQou(rrQrorooqnE.
30-7 (a) Xgpotut6 iiuilpopltc
yEwrirQr,oEouv€XofsO€1iFq'toEnou
XQqorporioreioul").dlirl (6qrfl j).Lo
pe6rioeyrondg). (b) Iaoqua{
r[sprioi0ol rIE sncryd|,t€llEHEA
orc rixpc ab.
Onepr,orpecpdpevoEpq61oEe[var,to np6rulopomd]"osvdErufiouYtv4irQloE€vd].-
),aoo<ipevorperiporoE,ror'rs?4,1,1dxrtl,rt' avcrnl:66oer.HEA oesEorsQu'(d)fljll),o[o p€
rrf poi0rrorov &io6axt .iavenaElES,ororofotxreQrmQdqowulpetov pptilo,dncog
8eipelro )1. 30-6a.Xrc0egdgenop6EnoluoTo1trlowatl)4xrpsEol.ro0o(vouvorouE6a-
l.mulfougxorr[vorouv6s6spdvrgpsro drQasEdbou, xdtb.
Mroporipevo lqlolponoujooupep[otloQdU,oro6tdxa!11r,cva elaocpc],'fooupe
FIEArou dleundwoxofbn nQ6olpo,dnolE6€ixv€tro :X. 3G-7a.H 6ufta[1ctnrjovogti-
trat,ou).).ixrqgxat"owrorQdqsItts ouvbdoelEpero elcote,olx6xtix]"rl;rcortElcDv!d]tdE
0doerEdroucl"rr,olq6petauq HEA.To)X.3G-7bD€f1vstrlv HEArot-txlQo)tlirr€[.AtxriI
o'uo}i€lJ{sfvorro xlQrirunor4ElewrjtprcEouvsxo{EQsipoloE.ferw{zquegouvtXotigqtd-
paroEJlou)rtllil.oqoQo{voroepr6Qm6Lo06rouvdl U,sl,dlooQ[0pdqvfov ]io[oui s-
1rr6v'oori Tlbuircfu elopal,iver.td eEoYli6poroonll HEA, peanotdi,'eopoI xdol dro
tixpuqE q1(E va p1v6It[ ofii!68ptoxorstiOuvol,o]'].dxdtvo s[va[fiQorrr,rtdo[d0sQi
(xupcuvdper^r1ouv€XrjErdol). H 6r.rfuo[qcrn{ pt Vri?4TQeE)rdtou},ldnr4lqrloqolonjfu-
r{r sJ[iolEorov]rwlnjpa ouveloriEperiporogoqv ovdtruolrolj E6.28-8.H otrll].t]'fiQ€-
ysQrrxi6{voFlrot!xrvrlfliQo.t(vototrlciEq HEAnout]Idl€Iot ord xll psrapo]"ldpevTl
l-rdyvrlrLxriQoitrdooondTorrQrorQ€96trFvo'rlvic rou.
l: 1- -Jr](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-8-320.jpg)
![JO-2 O NOMOETOYFARADAY
"r/z
3t)-8 O 6ioroEtor Faraday.H F(Yvlltlri Qorioultirer eitet6rjl
rdnittvq :reprrof peloltiveL.
vo orL^yplcfoperipaoro eforreqtxi xtixi,,cop(!]rououvodercu
pero qvio. O poog<igpetapofig r4g po{Epdocon<iro nq-
vio eivoLcvrilolog tou pedporog,rj rou puOpotj.oo{grol
poQTio!,p€droxd),€op(ivq €ivcr[€ri?4o]"ovo 6efioupe<itL1
oAurj perc$oLqqg poriEeivoLavtiloyl tou otrrnotjgop,rfou
nou pdeloro miz)'trrpo.Mnopo{pevcrxcfioo)i€udooup€€vo
<iglovo rou petpti armj qv ol,lxtj petopol,{ tor p€crur6rov
rprjno vc urolroyioorpe to B. Agrivorlp€rtEl€trroLtdQ€t€g
oe ocrg,orErg6fll'qpc. Av q 6odpecnroqgri,cu{ q pdOo-
bogdiverpcivoro gfoo rebio orrlvrntqtlvrro rou 'Inviou.
Xqv negirrrcooqdporgnou4 enrpdveroeivcl pLXQri,rdre ou-
rd eivcrnepurol ioo geTote6(o oro xdltQorotrtwlviorl.
84s
O 6ioxog tou Faraday
'Evcg
6ioxog pe cxrivc R, nou
6eilveLro !1. 30-8,pp(oxercroro eninebo.ry)iqt tr€Q[orQd-
geraupeoroOep<iltlvtox{ rcrlriTqtc coneQilov dEovaz O
oioxogeivcrronooeqpdvoEo€ opoYevdE,orqoeQdr€6io B
rcgdLl.4l.oorov cifovoz. No ppeOei1 erqYdpsvrlHEA p€-
1qE$xoutdwQou xGLqE neprqdpeLagrol 6(oxou.
AYDH O€oQorip€coEtrixl,tr.lpctro neq(lpoppc tt15xtircxr-
v1gneplol{g rotr >X.30-8, A€v utldQ1€tQoi Lrdoqqnd xo
op0olrrrvLorp{pc oro erfne6oyz,ere6f ro I eivcLnctgtil-
lr1lo peaur6ro erftebo. To zdnxuvopdpoEtou 6(ottol oro
enineDoxyeivcndvagropdog to epBo66vrou Efurlr;R'0
xot 4 porl<Denoureevd qtrdqurdv rivqt
68 = :BR2o.
Kcr06Er[tQlorQ6q€roro 6iozog,1 xtixtrvl neplopi pelc-
),c6ver. Xe lpovrx<i or<ioqpc dt q .yowlcctrEdvetxw6. d0 =
rudr xoLq po{ cnrl<ivelrcarti
dQB= tBR2d0 = :BR2@dt.
H enoy6pevqHEA eivcu
e =-* =-InR',.
a a '
Mroporjpe vc l,ololpoltolrjooupe ollti fil ot'ofi€uli
olgqTj HEA oe xrjx)"opoov ro oupnllptiooupe pe o)'r-
o0aivoroegenctgdg, qlPimaq (b o1oo:tipo). H HEA rou
64pr,oup1eidvcrErd,otoE6aoxoEpEL€lt]0!tt€qtr6rov
Faraday.H ouoli€uri ovo1tdetot,ioxog tou Faraday,l opo'
noknj yevwjrpn.
I ll.'PAlrtf 1l , 3O-;l
r II A P A, li I I lr., 30*5
I ll.Pl:lt1 . 30-6
To fiqr,aoavaxv€uoqE
'Eaa;
JrQqxtu{dErQ6[oEvc perQl-
e€frt dwcol rou pc.yvltLnofnebiouefvcrvc lprqolporot4-
0e[ prrQ6r[!1,iopleno],riocprprineptd].fq N onelqriv,nou
o'rcstaetatz4 o aviyv€uo4(.Av I €rrtgdv€lc rou t[tQ[l]€(-
erto rqvio eivar,4 xc(rro ordvoolo rlE €lttgdvtrcg e[v(r[
crplrrri eu0r'yqopplop6vope poyvrlrlxt5ne6io pdrqol B, 11
pori<D,nol blonepv<irorqv[o eivnliDo= Bl. Av neQlorQd-
rpoupelgrj'yopoto rlvfo xotti dvcrdtopro r4Eorpog{g re-
pi 146uiperg6rou, rj cwro rpaprjlolpLextrLto p'yd).oupeo-
rtftopc crn<iTo ne6io,1 go{ e}rctr6vercrpc16cr(oorci u1v
r,t1.ri]BA or,op16dv.Kcooig ei'c, rcrivercrq po(, epgo,v(eror
pr<rorryproioercl6pevq HEA, xcl rcrparlpeitctrenclcipe-
To )1. 30-9 6eiXvtr6vcrv<r1ro1<ipteoplpcr U oe opo'/€vdg
palvlrLrd ne6io B xd0ero qro erar€Oorou oxripcfioErtcrt
ge rore{0uvo1 zpo( rq oeli6o. Tono0eroripepercrltrlxrl
prip6o pe prjxogt n<ioetuorr.g6rionapri)').q)"tgrl,euq6g
rou oyroyori,riore vc oyqpcrti[ercLpp<ixoE,tql trwo6[e rrl
ptlpbo rpoEt1 6e[rd peorae€Qixqxdn]tc u. Ncrppe0e(ro
pr,drpoxc{tl gopri qE tttoYdp€qEHEA rou 0q rQofifp€t.
AYEH H pcrlvlrrxrj pori pdoc crrd tov pptilo petapdl'l.e-
rcr eneL6{crultiverq enrgdveuirou. )e lpovtrcdOLrioqpa
dt 1 pripbog6uavrjer,an6mao! o dlxq.t 4 enrpdvelootrld-
vevxqtd M = Lo d1.O€oQim€ drt q oerrl i lateriouvol
.7r<rr1v enrcpdverceivcr,nqogro o1t(trtc,ncrpdlJ'ql'qtot B.
Tfte, ! [(ryvnrr?(i porj pdoc ctn6rov pQdxoEfvc(!o€xuti,
zct cultiver oelpovundOrdorqpcdr xarci
d @ " = B d A = B L t t d t .
3G-9 To FoyvlT|xdr€6[o B rr0c'ig tcrrro 6tdvuol.t(rIE €trrqdvEloE
I dxolvgoQdrde€q oq oe),i6.rtpoEta liod. H c{Elol xlE
pcyvryltrjgporjg(noulQoral€ftot ard Tlv c{Eloq t1Eelr,qtiveLcg)
rrciyeLqv HEA xcrLto peripo.rou 6eixvetro olrjpu.](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-9-320.jpg)
![846 KEOAAAIO 30 HAEKTPOMATNHTIKH EIIATOI-H
H ercl<ipevqHEA eivcrL
^ do,
fic vc epplveriooupero cpvrpr,rc<ing<5o4po,crEOupq0oipe
T
4 oripptroqrcovnqoo{prov:Kareu0rivererov 6eltd ctw(1el-
qc onlv xctriOuvo4 rou 6rov6opcroEerlgdveucg,4rc 6d-
1rutr<rorpipouv perI popd rou d1erq 0e1!xi HEA. Xr4v
nepirnrooripagaurti ouppo(verFs eoQdy6qc'lorrdro BQ6-
xo rou >X. 30 9 a6!apecuniv rtov Oerxrcrlvrol gol.oylo6, <i-
rog gcfvrrcu cnd ndvoJ,To qQvllxd nedolpo ollcivrr d-
rl 1 apoyporr j HEA 6N€[qv (lv[ioErnqop<i,rjntogaeiper
ro ox{pc. To eral<itl€voe€fp(r €'[(oIEdlel gopri cwioerq
TrlEcpogriEttrrv 6erxrrrivtou poi'o1loti. I
I'O KI H}:H!
H xiv1o1evdEcya.ryoipdodor pol,vTlrrxdrrs6(opag6ivt[ rl Duvcttiqtcvc xaravori-
ooup€xolfr€Qoq bnpLouQy(aqS sra16p€vlEHEA[s ro vdelerdoorperq pcprlrLxdg
6rvdpre6oeqopriarorlayoyo{.TotX. 3G-10abeilverqv f6roxrvo6pevlQd96orro!pd-
Lr.gpre?'e{ocpemo Ilcqd6. 3G-6,caopovcrr;idvqnpoEro lcp<iv urd rov clorycipeo;{pc
U.To poy!'prd rsbioB eivor,opolevdExol xcreu0ivercLnpogq oel(6c.)q qdB6o6i.
voupeoro0rgrjro1rjqrou rpogra 6elrd.ts dvflocrpdxropegogrioq or4AdB6o0dd-
ox10e[pcyvrlrr,tuj6r1vap1F= qux -8pepdrpo.F= lq r8. Xqv cvdtrloqnorrcxo].ol0ei
Oeoporipeto 4 OerLxdonlvneg(rror4clnj 1 8rivopld1er.rpopdnotriprjxogqS Qdp8ou
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peiipoperordlrol5,ral q tdtapnleivcr.o vtipogrouFaraday.lfpcprrrvopr rovvol.rorou
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Qu= )E
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pcouxdgoldoer.gperclriratvll.exrqLxrivncrpc.Tvqrrxrivnebiovxcr,rtovnq16vrouE.E(-
pcoreoe0doqvc rcpaydyouprerovvriporouCoulombafidrovvripororrGauss,rovvri-
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tol l1v elioool nouop(rr,rovrpt5noperovono(otc ns6[aE xar,Baoro{vbuvdpelgoe
qoQrioq,
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qoqrionou0c neprxLerftovcrd qv enlqdver.a,evd1 6elr"dn),eupdr1gE!. (30-14)0a
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o6oetrlvrorrMaxwell.
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pdvo)rorxolrpdrQ6no{rcv pr,crbra[repc.lxcvonolrlruujo.vord],upl.Ore[uoc6osr,Erou
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![856 KEOAAAIO 30 HAEKTPOMATNHTIKH EIIATOTH
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pdlleraL6rcvto ul,Lxrlrono0e,q0e(oeelrrnepnuipcprprx6re6ioBo.ToX1.30-216ei-
per,r4v eldqnlorl cuni yLcrov r6priq1rupo,ro rgairo oroLle(oorooro(orcqmrlpr{Orpte
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polev6gxal drolcnorpeillotrpeneqm).ott6Efiol o{€x(owoL[€ xoox{poxouo6[droE.)H
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.7xotr)rouul.utori.Xly,cexgupdvo.,
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nuprivu.()e nuolevun6Ereqmrrr5ostg,<iroruntiplel pclvtltttd ne6(omo eorlreqLx6
xa,uoroeforepuxdroupclvryworir:htof, royiotrvnolut?'oldreqeEoldoelE.)
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d) Iuynprvererovpu0po1rerovoloiolcprilrrur pllcvrxcirpyo
oxrdq btvopl (Fu)[€ rov Qr'oldrroQayoy{Eo€Q[drlrogoroxri-
xl,0[0 (1'R).
Ebtiqro 30-4
O vdpoErou Lenz
30-17
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xuxl,LzrigoupptirrvoEBprilog€ivcuronoO€rltrdvo(
oegolvlrwd re6io,ogoyevdgmovp6po,tirtog6eilveLro )1.
30-28.To gol"vrprxire6iorareu0iverctnproEto err,ne6orouo'trrj-
porog.Nq xJTol,oy[o€I€fll qoQdrou €iTqydF€vouQ€{pqxoEoxov
pQdxoftov roB a)ouldvet, b) el'crniverclrcl c)sivoro[c0€-
QdpEflp{ Bo.
EXHMA 30-28
30-18 XploLponor6wogrovvdpotou Lenz,vollo0oQao€r€Tl
qoQdxouQ€riporogmovcvrrortirqaD xor,>X.30-29drov a)o
6roxrim16SavoileL,oqoi d1er,peiver,x},er"mdE'yrooQxercl).€md,
b)ro mlvioB percqep0einronowriorol1vio,4 [€ xovbroxdlTr1
r)'ermrinqL c)I q!'dorqonR F€rdverorperov6Lcx<irn1vanc.oc-
lrdv€rxl€r0rdE.
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EXHMA30-29
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EXHMA30-30
30-19 )e dvoxri),rv6qocrd laprdvrrutriyowar6rioqvic po-
vo[ivou odQFqxog,pEowioereEqopdg,tilroEbeilverro 11.30-30.
Ta d?eoa ror brourqviou.4 [noQoivvoouv6e0odvpepr-rarcp(c
[docD€vdg[€rqyoyod.Nc Bgeireavro erolti;revoperigao.rovo-
vrrordxlR €(votorldra cplorepdlpogto 6€Erd,{ qwrorpdeoE,
orrE,roQordror€Quwdosq:a)ro Qeipomoqvio,4 eivotco!c-
vdp€voxol dx€rgoQdqndro a orob, b)ro puipodletqogriaad
ro, oroa tqt peldveror,c)10Q€tFc€ivoloufcvdpevolor dXel
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Eacy<ipevarl1,€2'rrQrl4dn€6iq
30-20
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on?'.tigtrrerao'llgotmrjEcloretre(lororri dvopc-
4 euo{lpoppooo}'Ivo€LOdE,[€ snrqdv€Looraroprig6,00cmr
xct pe10oleiqegorippcroEcvdezcroor<i,ro oroio6ropgi€rqrq-
rd ge{pa0,250A.'Evc Oeurepedovqvio, trre8 oleipegrepLprilL-
l,erTo oco),rlvoerbiEmoldwpo.rou.
'Orov
cvo(erro nporeioviuj-
xl,opo,ro payvqrrrdne6iooroocol,qvoeLodgpr16ev(ercloe0,0500
s.n6o1€ivqrI pdol€rcytipevlIIEA oro6ru€p€{ovfttvio;
30-21 To pdrporou go.,7v4ruorjne6iorB oe<il.r1q olrropdrrrl
xuxl.uujregroX{rouXX.30-28€(v0|oQlr.rd0,800T. (Oxrid,oE0q
pnoQouoevq olr[nQooorlEfr!r[gooe]yIorrtdrov Xolqogera[d
rov riLrov peril.ou 1l'exrpopal"vr{q.)To poyvqrLndne6ioxcrreu-
orjv€rqLxdoerGnQog10elilebo rol c;tipcfioglcL e]'orrciverorpe
pu0[ri- 0,0600T/s. a)TLpopqrj0odlouvoLlpap[riErouero.^7cl-
pevouq),exrplrodnedioupdooorovonlcopdvolrix),orou )1.
30-28; b) Bpeitero pdrgotor r1vxcrui0uvo4curo{rouire6iou
oeororo6rlnorrorlpeiorouxol)'rxoricr.yriiylpou6cuu)Lioupeoxr(-
vq0,100m. c)lftioogefpodropqielrovoo.nruLLocvq nwiorco{
xoo€ilvar2,00O; d) fldorleivurq ouQopd6uvopLnoigero(drr'r
o4peiova nolb rou6otrul,iou; e)Av xoneio 6olni),rogoexd-
roro olp€foro! oropaxguv0orivLilo ro dxpc,l<ior10a civcrr1
OLcrpopdDuvcprrorlperafiirov 6io dirporv;
30-22 To poprlrur.dre6io pdoooedvcporQri€r'eriyQoppooo-
l,qvoe16dgpexuz),rzri6tcroprirct axrivc R au[tiveLgepu0grl
r/8/r/r. a) Bpefrerov -ouOptiperc$ol,{EqE po{gpdoaard xrin},oo
oJToioEBQaoxsxotpdoq.oroorol.lvoerbdE,dlerc(xxivqrr,ro €rirr-
6drou e[vqLttioero qlov dEovorqt ro tdvrqorou eivcLoqpeio
roudlovc rorrooJ,rlvoer,6or1E.b) Bpeirero eroldpevoq),ettrpr,xri
irebiomo rooneprri rou oroLlvoeL0oi_<oecorriorcor;r,a:rdrov ti-
Eovdro!. Nq 6€G€r€'qvroreiouvoqouroi rou rebiouoedvq
brdyQs4ro.c)Ilioo civor,to elc,ldpevoql,emprxtire6iooroe-
{arcExd rcu aos},r1toer6origoecndoroorlr, qrd rov dEovdro!;
d) Nc rapoonjoerelpovuuiro pftqoroueaoydpevour1),erpuorj
xr€biououvaQlTio€tq! qJTdoroolgr qnd1ovdEovo(lndro r = 0
oEro r = 2R. e) BQ€i:rsnlv Errqdpsq HEAo€xtxlo rc qxlivo
R/2rou dlerro xdwpororlo[ovdEovqTouool,4voeL6odg.$ IId-
orl€lvqrI rrrcrydp€v!HEA av rl qrrivq qro eq.(e)eivatR; g)
IIdoI €ivqLI €rnydl€q I{EA ovI qxravqmo €p.(e)€fvqr2R;
Ebricpro30-8
Yneqcytoyrpdtr;ro:N{ro€r6u{rip€}"dt4
tov poyvqtu{0iv[6torrir(,)v
30-23 XeOepporgooi€Eliowd mo qrdl.urogr1Odv,rltprjrou
B.1taro povd6Lo,uleQc./oydflinouI, rQooew(srxo0,142T. To
pcvd6toiXerole6rivpq6evtx{poyqrrlttielrOe&rtxrir4rcoqv }io-
vovlxrigrio!. @eoprjoredvovponpriral l,emd1tl1fu"v6poPqvooiox
[€ ro! dEovdrouroQdl,],ql,ooepolvllxci le6ioBo,.rooloio d1er,
rfi€{ouvol movo€lrxddEovax.:rq olp€aolou efvcrcnogcxpu-
opdvctcrrdro driQclou zul,iv6gou,ro lrc4trlrLxdir€6ioEfvar,kiyc)
oupperpicrg,rcqdJ"qi'oorovdEovox.BQsir€xoolttd poywplrd
reoioB xalq poyvixloqM oro€ooxeQlxdtoLoroelol.replrdrol
ru)"iv0pou(gonpr,rior'rr!.rodr.porou)oeOeplroxpooieExowdoro
o:rri).wopr16dv.7Lca)Bo= (0,126T)i xcu b)80= (0,252T)t.
30-24 H 1l[trr1 ivororlSiV.efvoruneQqloyriEnirort II. >€
OeQ[oxQooi]€(llowdorocndtrurogr16dvrc 6io xQior[orrE6fc(rou
eivorB.,= 55,0mTnor8., = 15,0T. H pcprltx{ em6ex.nxdqro
rou SiV,oqv lovovtxriqdorleivotrepinoupr16dv.Oeorpriore6-
vov [oligj tcrr],Erc!dtrl],r:v6Qoqrd SiVj [€ rov rllovri rol lcprii,-
lllo os€Eor€Q[xd[c1n1txcilebio Bo,ro onoiodlertcwed8uvorl
rgogTo0etxdr. To gclvltxd le6io,l,<i1ooupl€xpiqE,€ivorro-
prilJ,4l,oorovri[ovor oed],arc oqpeicrou $QioxovrcrFC(rQrdq-
:rdrcrdrpo roulutrfvopou.Ie oepponpcroieExowti nro crlriLrrro
p16dv,ro elroreqlx<ipoyylrurdr€6iocuEdvslqtcrd ro unO{iv[€
aQ^/dQU0pd.BQ€frEToolrrxdpowrlltxdfiE6ioB xol.rqpolvrjrr,oq
M oro eorrneprxriacr trtoz,Qtdc{rrdrq drQqrou xu},ivbpou a)),iyo
nQrvoQxfo€rI pcryqnxriqo{ vcr6terobrierorou},txdxnr b) lriiLrg
ro u),rrdr€Qdo€l€yre),rrgorrlvlovovtarjptio4,
30-25
'Evo
pcrrprletl0yQqppooriQ[cr,xorqot€ooopdloo]id
u),urdur[€Qqyoyo]injrou I, Orcppde,or ord ora0eQdg€rjpqI A€i-
lete drtrc pefprc6cvp-rogeivo rivorxmaveprlpdvoopouipopqo
oq broroprjrou oripporoE,oLilddfl rQfnsrvc Bpioxeratd),oor4v
EI[|90Ve[q.
30-26 :e ulepoyold nitou II rou eivcrrorlo0eqpdvoEo€€-
[oreprrrire6io perrprjgercli 8", xnL8., ultiq;ouv rrpLolfEpe
FqlvrFrxiQoixqLrou ncrpouoL<ilolvowimcorl,lcOrigzorrrne-
pclc[yr,pegneproldg.Il<ioqovrio,crorldleLrivcEpcrrprigrol ],e-
mdgmi),rv6pogo:rrirdroloul.Lxri;
TIPOBAHMATA
30-27 Mlo o.1,c6yrp1p<ip6ogpeprjnogL, priloraxcr.cwiorooq
R rtveirorXropiErprBdEoeperolJ,rrdgqriyeg,rim'.rE6eiXverro X1.
30-9.
'Eva
o[oy€vdEloyvlxuid ]TE6aoB dX€rxorEiouvolxdo€ul
oroerineOorouo;rigcrogncl lpogrc pdoo.tq priB6o,irou!elr-
vti l(l)pigoqlw{ ro1ir1rc, croleircrorcoeqrj6r1vc[1Frqogrc
6e[r,ri.H ow(orcrorloTr,gpdyegeivorcr.ge],qrdc.a)No rapooni-
o€r€Tp(.quidqv roxdrqrcqE pdpOolouvcpr{oeLroulptivou.
b) No Bpefreprcd4goorl yrcr1v're).r,x{rc1drlro (q! lq1rjqro
'qgpdB6ourftov4 emrriluvorir4gpq6ev(ercr,).
30-28 O xrlBogrou)1. 30--31,gecrpdE1,00m,ppiorerctoeo-
l.roy€vfEpoyvrlxrrdr€6io pepdrpo0,300T nol xaretouvolnpoE
xq0€1rxdy.To otQliorcA,C xarD xa(fial ongloreuodvoeLE
rou OeiperTo opftrrc,p€rox{rlrq 0,50m/sro xo0ivc.(Toorippc
,4lrveirol roptiLl'q)'ocnoenlre6ory,ro C oeyowia45"ndro n-](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-26-320.jpg)
![EXHMA30.-31
rd xo€riir€60.:ryxorro D, rloQd],lrllqoroefifJIeooxu.)Nq 0Q€iI€
xI oroqoQd6uvc{lrrlro{[€roEfrov dxQ@vxouxde€oUQFqroE.
30-29 MLcl'enlj pdl36oE[e p{roE0,620m reqrmpdpercrt'-
pruundciEovo:roun.pvcilrciOcrcororvacixqor4g.pr ywvrax{
rqljqro 8,00rad/s.Toerireboregrmpoq{ExIEQd06o!€ivqrxd-
0Eroo€opoy€vdEpo'yvrpr.xdne6iope;rrirpo0,500T. a)Ildorlei-
vcrr! €iroydpeqHEAmrl Ad06o; b) IIdo4eivcrq ELcrgopri6u'
vaprxoriovrigeocorodxpaqE prip6on;
30-30 MroqdB6oqa, xrv€frorXoQiErQrpdEoeolciyr.peEpdyeg
droEdeiperro 11.30-32.To oufilps ppiox€xoroeopoyevdEpc-
yvrl'nrdre6io xdOeTofio €riJ-[€60rlE os),i6oE,peroreriOuvorl
,TQoEro lr6ooxarp€[drpoB = 0,60T. Od),e1rvc l.ioTGoli€l,doer€
dvcdQyovoeEdorlolEpeoudv rovtru11cvro[d,mo oroio?(iror-
ocyuuvclFTolzrvuiwcgrr1qdp6opnQo(-rrioorLl€ll€olroxurnrc
4,0[Vs.ndol owimool Rfipdfi€!vqdx€rro ldxilo[s qvo dv0Qo-
roEnot'}{!efq Qdp6o0onqQd^lEL6Qyotr€p6ooQuopd200W;
EXHMA 30.-32
30-31 IIe glotge tptipevogpgtiloE. Oop0olcivroEBpdloE
rotl>X.30-33,geeppoirivl atl ovrio[ooqR,rl€QrorQdqeror[E
oioO€QrilcDvrcrrlxo1rirlro.a;.7rigoondtov rilovcry.O Bp<i1oE
I3Qiol(Ercrro€o[oy€vdggol,qrrxdrebioB oqv ncreii0uvoqroud-
Eovor.
'Eo[cD
drrt = 0.y[oq 0dor1aor-rosixv€txotX. 30-33.Nq
nqptrmiorrryQcqrxcirrg:rcprrxcirculoocirlrrEouvoQTlosrTou
XQdvou:a)q QoiOsnou6r.wepvdrovBp<ixo,b)iov Quold[E-
IIPOBAHMATA
rapo),{Eqg porigd<Drldt,c)qv €roy6l€vlHEAorovoQdxo,d)
xI Qo,uizrou crxrorr€ixoryr"ovo6[0qpq0ei1l€Q|mQoqixo! pQd-
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rcpciyrr4 rlurrqrxrj ponrjor prc:r).{plleprorQoqirrvoriooLrf
rqv rltrexrgrxrjevdp.Telcrrol ncrrcvo).ioxerol(perorpdnercloe
0epgdqro)oegrcrl.rfQlr€QrorQoq{rouFpd1ol,.
30-32 Yro0dme6rro pqtfuogrou)1. 30-33rr€QrmQdgercrN-
pcocrnda)rovrilovcz, b)rovrilovn.r, c)plortreuQdrlcpdll,I-
1.1movci[ovcy.Bqeir€xrlpsyloq €fioldp€vnHEAyr,oqv rd0r
n€Qfmtooilqv.4 = 400cm', .lR= 2,00A, ar= 25,0rad/sxql
B = 0.500T.
30-33
-Evcrg
etnogmogxud"r"xdgpptiloEpr 6rdprxQo0,100m
FQiox€rsrldoa o€;rcyvqrr,xrire6ionouiX€[pdrQo1,50T llorxo-
'retouvorlxci0e11oro enir€oorou>X.30 34ror npoE'ropdoo.O
BprilogrqcrBr,d,cl rqoElcrd[o mc oI[saoror' 6€ixr,ouvro pdlrl,
dio:rouvop46evunei1 €JT[cpdv€rdIou,oEXQdvo0,200s. a)Bqeire
rI ldol rnc(,/d[€vlHEA oro rfr],opa. b) noro poQddXErxo
p€{[o.Udodq'[o!qwl(r|&I R;A,rdro a o[ob{ an6rc b moa;
TXHMA 30-34
30-34 To peipo nor brcppder"dvcorippq.4Broxr€)tr€iverql
orodrr€rQo(>1.30-35)d1er.cpopdrpogTc rdvo z,orouEdv€Lp€
orc0epdguopridildr a)No ppefrero ldiQor,io.Ln]vrfi€riouvoq
rorrnrbrouI or undorqolr crTdTooUQ[odrovro prJ[o nouro
bropQd€rrfvqlr. b) IIdo4porjd@,blcrepvdrq orevrjorr,cogdvl
Lcopi6o;c)IIdo4eivqrI ohmi Qolirou dloreQvdxovPQdXo;d)
Bpeirer1v uro'yripevrlHEA fiov BQdXo.e) Yr{otro1,io[€rtlv opr0-
[lrrxri Ir[ri rIE €noyd[evlgHEA q.va = 0,100m,b = 0,300m,
l, = 0,200m y,atdildt= 1,20Ns.
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30-35 )e <ilcrq ol[sio pdoso€y,urfu,rrjneqLolrjpecu.wivcrlR
ur[dQx€ropol€vdgpoyvrpxdnebioB pexor€teuvoqxdoEIIoro
€rinEooro1l>1.30-36xor,nqogrc ;rdoc.(H n€Qtoxi0otoloQoioe
vo€[vs[n broroli oroeooneprldevtigau].r,v6Q!xo{oollto€[6o1jE
[s trsldl"oF]ixoq.)BQsfr€ro pdrpoi{orrlv,{cteri0uvolrqg6iva-
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30-37 To garOrj,er0{yQoppooriQlrorotl)1. 30-38aOLcppde-
ToLc:rdmoOepdpeipal. Mn peroll'LltriqtipOogpep{rogI xLvei-
ror peoro0epiroxriqrcru,drtog0eiperTo opjpo,Toolgeioc a-
rixer ordo[ool d ofidro ouQpq.a) Yfio]uoyim€qv eflo'|,dFrvl
HEAm1 priB6o.b) Ilorooqpeio,ro c f ro b,dleruqqtrdrepo6u-
vs[Drd; c)Av I Qd$Eogcwllcroo, cOe(ondoqOoyoivloougptin-
vor .cioropeow[moo4R (>1.30-38b),ndooeivclTo enoldpevo
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EXHMA30_38
EXHMA 30-36
I lE! onoicaox€iToroeclivlro oerrzdor1[eLox6qopriog nou
pQioli€rqroro o4p€aod,b i c fiov ro lqywFud :reOiooufiiveLge
AU0[ddaldt.(Tool[€aod FQioxer(rto€qr<iotooqr:rdvo o:rdro
rdwQoolEr€Oro1{_(,ro o4peiob oeordorcol r OelLdo:rriro ld-
wQor,ior10ol[Elo corox,wQorIEn€QroXiE.)
30-36 Kurl"rrdgayc6lqoEdoznilLoEgeomfvo/o= 0,0500m
neircroroeli:re6ory xcr Bpiorrrcrpeoaor nrgroXrjgt goyvlrr-
ld re6ioB,<irou
B = BoIt-3(tlto)t+ 2(tlto)31k.
801.!ort0Eivo.rmc0€Qdgper4rdgtu= 0,0100sl{orB0= 0,0800T.
Yro0rmecirrl eivotr1c,rdorco4evdgrulcroL'orllfiou crlTdro xE'-
vrprorou6orrutriou,I eivcto lprivognalI dvopolcbloio6rdvu-
opcrm4vlcred0uvorl+2.>1q{4[€fq a ror b urripleLdvagrxpri
revdnrov6cnriLLo(BL.tX. 30-37)I€ ouAlaronouoblyotv o€d-
vc r,Eco,eqLitdzriitlrcDpq!€ ol'rimool R = 12,0Q.>IrlvrT€Qroxri
rou e,Ecureprxoriituxl't6gcrog6evuntipXerpoyv1rlxdlT€6fo.a)
Bpeireprc dxgpcrol1Lcrrlvoi.tzriloyvlrrxi Qoi O, nouJT€Qt-
zieieto 6cxnilrto;ouvcpnioeLroulqdvou. b) Ynol,oYam€qv.€-
ncqdt€vl HEAorov6crmi)'tor4 lpovLaforqprlI = 5,00x 10-'s.
llotc rivct1rol.rxcirqrrirqg: c')EEcrtricrgq: eooregrxrjEorriorc-
orlgrou6axru)'iou,ro p€ilc rou broQQdsrfllvR11lpovrx{onyp(
rou biv€ro!oro (b)sfuor[dvo3,00rnA.BQ€ir€xlv €oex€Qriiq-
vriorool rou6olnrl'fo!. d) Yfiol,oli;o1exqvHEAnouerdleror
qrov6qxr{},lo<irqvI = 1,21x 10'?s.Iloro eivor,q rol,wdqrd qg;
e)Yiro),o1iorerq lqovw( orLlprior4voroioollciler cpopdro ped-
pcnouOloppderrovo1oyi.
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dx€r500oJT€fQ€q.
'Evo
mlviopemrxvrjrepd)'rEl20on€rpdvorrd
$ovopdvoofQpcrr€Qr$riLLerro oorLlvoer6dgoro pdoorou.To d-
xproToumlviouei:vcrouv6€6sldva[€ dQyovopdrQqolEeopriou.
H ol'rxi qvr(rrrqrrnrou xuxl'c6pctoEeivcL30,0Q. a) Bp€ir€ndoo
gopriolepvd cn<irr1ouox€uidrcvro Q€fpcmo ocol,lvoetodge'
l,crrorOeicrtirogaan63,00A o€1,00A. b) Kdv€ft dvot(Qd1sr-
pooldbror1g6uftcl1Ecuni! 6nou0oeorvoworr(r0ogi(I eoQd
rc'.woletpoivrouorol"1vo€rooiEror rouqvfou, ro06Eror I qoQd
xor'O€i1c{rogfio oo},qvoer6dE.Aefiereoro o1d0uiocgrr1qopd
rouperipcrogmorqvfod1(1!€l,qficiv€lql10pe{pccnooco}.1voer-
6ds.
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origpo ttou yl,"rotQd€[. TotX. 30-39osixvEl
dvcop0olcivlortroioropenld,oEa roLrivoouqpopepdlc n. To
ouoqpcppioneror,oeopo'ysldE[clltrrxd m6ioB,rd0sromo E-
rr"reOoror rloroiou peroroli0tlvo4lrQoErq pdoc.ITo orlppcr6i-
!€xoroQxrrdroxurrFouoyn vafetttv{oelYro0do're<irLro ouppcr
otrloOqiverororr)"oioroXopiErprpd(xordn 4 awiorooqrol rLor-
ofouefvcropel'Irdcoeouyxprorlpsrl! owimool R xouorjQpo-
roE. a) BQeir€prodrgpaoqylc ro pd,poF r4gOrjvopqEror,rc-
oxeircloroorippodrovonldxrv€iror[€ roxrirqrou. b) Ae(ere
drrq urdorcoqr lou 0ubrcvriorrro orjegouiorouvc o?{rvlTonor-
l0ti bivrrcrclTorl oxdcr.1x = munRla:B'.
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EXHMA30-37
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EXHMA30-39](https://image.slidesharecdn.com/5-190701203528/85/YOUNG-30-28-320.jpg)
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ΗΛΕΚΤΡΟΜΑΓΝΗΤΙΚΗ ΕΠΑΓΩΓΗ - ΠΑΝΕΠΙΣΤΗΜΙΑΚΗ ΦΥΣΙΚΗ YOUNG-ΚΕΦΑΛΑΙΟ 30
ΗΛΕΚΤΡΟΜΑΓΝΗΤΙΚΗ ΕΠΑΓΩΓΗ ΠΑΝΕΠΙΣΤΗΜΙΑΚΗ ΦΥΣΙΚΗ YOUNG ΚΕΦΑΛΑΙΟ 30
ΗΛΕΚΤΡΟΜΑΓΝΗΤΙΚΗ ΕΠΑΓΩΓΗ - ΠΑΝΕΠΙΣΤΗΜΙΑΚΗ ΦΥΣΙΚΗ YOUNG-ΚΕΦΑΛΑΙΟ 30
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- 3. 3O.I TIEIPAMATAEILA.TOTHE 3O-T IIEIPAMATAEIIAf QI.H): Kcrd rr16r,dpxelcrlg beroer(ogrol 1830o MichaelFaraday(Mtiutl,<Dtipcwei)orlv A1'yl"(cxcuo JosephHenry(T(rlletpXdvgl,o lgrirog 6lel0uvr(grouIvotlroftou Smithsonian)mq HvrrrprdvrgIlo),nefegqg Apeqr,xrig,rixovovno).)"dnpoxonoptcxci:rrr- priparapegcyvlrLxrigencldlrevrlHEA.ToX1.30-1beilperpeqrxrircgcbe(.1pcrc.2ro )1. 30-1advcnrlvioo'uvbderor,pe'yatrBovdpsrpo.Ora.vo pclv{rqgnol pploxerctxowci oronlvio eivorcx(v4rog,6evnepvderperjpconriro lalpcvtipetgo.Aur66evpcEex- n),{ooer,proror 6evrnriplerrlyrj HEAmo xrjx},clpc.Orcvriporgpercxlvrloouperov poTvrirl,qdQvowriErovmoxowtl,{ cnopcxgrlvorrciErovcndro n1vio,r<ftero'yatrBo- v6perpo6efper6rrrepvrinplipo moxfxLltpa,p6t'oxal6.'t16uipxelcn1gxivrlolgrorr palvr]r1.Av lponjoouprecx(vrlrorov purlv{r4xal petcrxwriooupero qvio pero yotrBc- vdtrrerpo,noporqporjpexarrd).rllsxrqLxciqeripcxurdn18urigxelcqg rivrlorlg.Toperi- poourdovopd[€rdr.ecoyripevoqeripoxaL1 cwimolp HEAnor cncnelrcryr.cvo ro rponal6osrovopdlraueraldpev1HEA. (a) il (b) 'Cil (c) e r--:fl 30-l (a) 'EvcE [o A,rirlEr{our[ve[ro[ irQo(,rlvio ouvEebepdvopreyclpavdFEipoErdy€rd.€tilQrrd QE{uo orodrlvio.Kard qv onopdliQuvorllou [ol,,iq cro ro nqvio,ro e:rcryopevo ge pc exELclrioeq qo,oti. (b)'Evq b€irspo'ilvio, io onoio6rdpQierdrcridQef[c, riNefrolrQo(ro:qvio roo eivcrouvoebepdvo peTo lclpovriperpo xcu€ridy€rpsiFq o€drid. K.fid qv coropdrQuvorlrou evdg,rlviorJo,rdio dl,lo ro €rll-rld[€voQei[q dX€rr4vowi0eq qopd. (c) 'Ordv r].€io€ro brordtirlE,dvo[etcrpol]d1tevoQef[c, oro eocorepLntimlvioendyeLperjpooro1cl,pov6[ErQorioueilcLouvDebepdvopeto ci),].oqvfo. 2ro XX.30-1bcrvnxc0lo,orjperov pclvrjrrlpedvo6er'repon1vio,ouv6sbsp6vope pnoragfc.Orcvro ierimgonlvio eivcLcx[vr1ro,6evnepvdelgeipaondro npc6ro. Orov,dptoE,perczLvrjoorpero 6eriregonrlvioqdgvovrcEro nroxovrdrlamponptivo- vrdEro ord ro nqc,iro,i drovpero.xLvrjoolpero ngc6ronlvio peol"riotollorpdnoorE rgogro 6eire.oo,rdrero n.oc'irorqvfo8Lcqqdercr,cn6qsripc,alld xoundh pulvom1v repfnrolo4nol ro dvcr4r,iorrveirortognpogro dl"l.o. Tel.rzti,lplorponol6vrag148rdralrlrtov6{o n1v(rrrvror 11.30-1c,xpcroriprrro 6io n1v(ncxfv1rcxa,rperaBdllorpLeto pe{pcoroOetirepor1vio,eitecvoilovragrcl "e(vovtcgtov 6roxdnq,e(reperapd),lowcgl1v cvr(orcoqR (perov 6lczd:n1xl.er,- ord).Alrd rou rogcqqotlpeefvorot rc0rigcvoi.lolperjrd"ei:r,oupLerov6r.cx6m1unti,o- Xerdva-<mlyplc[oEnclpriggerjpcroEoTonpc6toxr3n]"orpo.)rqv ne.oinrcoolperopo].tjg 14gawiorcolg (xcr,rigc ror.rperlpcrog)oro6erireponrlvfo,roqcrqpodpeeno.ldpevo peipc oronq6rox{xkopc, privo6pogrcrd 116ui.oxeropercpo},rigrol .oeuparoEoTo 6eftegozrlx)'orpc. frc va6leperrvrjooupeneproodmpora rorvrioqpe[anol nsqL]'appdvowuloTlgrc- pandvoncpcqprjoerE,0oelerdoorpsptal.enropegdmeqloeLgdner,paprirovpeq 6ld- rcEl nounapolord(erro 11.30-2.llv8dolge dvonqvlopeyc],Bcvriperpozcl ro rono- geroipLecvdpeooorouEnciLouErvdElLezrgopalvrjrq.To pclvqrlxdrs6iorol llexrgo- pclvrjr4propeivo petapdl.l.eror.@crraqarqgrjooupercrelrjE: 1. 'Orcw ollexrqopc.lvrjllE6ev8lcqgderalonripei;ro,rdreB = 0xarto Tsl.povdpe- rpo6eixvsrrftl6evnepvder,perlpa. 839 3G-2 'Orav ro ne6ioB sivqr oiooeQdrq[ro ot{po rol I 060l roun4viou6evpetcpri).l,owcl,6ev unriplelenaydpevopeipo. Peipo flrclexor oTl! n€QUTTooIJrou FeioPtrl0eionoroob{Jioisord 01rio1rglouErroQcrYoyi€E.
- 4. 840 KEOAAAIO 30HAEKTPOMATNHTIKII EIIATOTH 2. 'Orcv o lLexrqopcyvrirlgreOefoe].elrorp1[c,dvaorlyplcfo1].exrglxrignipcnrg- vrieLo16ro 1c),Bcv6psxQoka06qauEdvrrroB. 3. 'Orcv ro -BanoxnioslpLcnrc0eprjrLpr{,ro qerjpcp16ev(ercl6oope^yd},oxr,cv e(- vo.rro-8. 4. Ar.uqqrivrcgro n1v(ooro ogl(fulo rn(ne6oro ncqapoqgrivouprrriorevc perlOeI 1 err.qtirerdror. To yc)'portipetpoovty"ttitt pxtgaxard rq 6d.pxeLanlg napa- p6pptoolg.Encvcq6povrcgro nqvioorocplLxdrouopjpa rcpoqpodpre,xc0tiE mldvel q enlgriveldror-r,perjpapea.w[0eqqogri. 5. Av oTpdrpolpero qvfo xcrri pepr,x6Epolqegyripocnriopr,[dwr,od[ova,to 1a]"po- vdperqocvllveieugti1ta,xal6 t16lriprelc qE negrrgoqrig,nol d1er,r1vi6lc qo- Ei peounjvnol e[1ctircv e]'arrovdrcv1 enlqdverc.ror.rrqv[or. Oravcvrlmgd- rl.rolpe116r,c6r,xco(cylc va.ro encva.qdgotrpeorqvcgl,xrj ror 06o1,avllvniercl qeilpcpeqv cwiOenlpoQdxordq 6rdQrer,cqgnegr,orgoqriE. 6. Av rgcpriloupero n4v(oandropaxal ro Byil.otrpean6ro ;rc1vr1rlx6ne6(o,0anc- QorlQriooupeQelj1loxorrin1ilcigneuaqE xw1o1gpe14qogtinoue[1edrcvelcr- TovdTo.vI erlqdvsr0Tourlvaou 7. Av peuioolperovcqr,0p6rorvnegmlfteclvoronqvfolea].i^yowagprarjirrqmocire- peEcndou6E,ncpmlporipe,xcrtiq 8ldqxelarotrleru),,[1;rcrog,qeripcpr n1qoqci noue(1erirorrel.omov6rcv1 erlqdven.Av rul.(olpe xc,r,dl,lo orippcoro:r1vuo, r6re0anoqaqq{ooupeperipapeawi0etl popri. 8. 'Orcv anoou6doorperovrllexrpopcyrnjrl,napcr4.oorjpeoTr,rlpr"aioperipopeqopri cvr[0er1cn6aunjvnotre[1edravrovOdrcpeoeleltoug^yfa. 9. 'Ooo rcyirepayfveLonolcb{norecnring cllal6g audg,rr5ooneqr,oodrepoqeripc dlcqgdelro nqvfo. 10. Av ercvckiBolpe6)rcotrtdrc neqtipcrcpen1v[onotrdleLro (6Looxipc,alki ei- voLtcrcoreuoopdvoonti6r,agopetlxiulrlxtixcr,dlel Elcqoqerulricvriorcol, ro qe{pc0o eivcr,,oexd0erepimooq,cl"nmp6cpcrrEcvd},oyor1go}"r,mjEcr.'r(oroo4E rol xuxl,c6pcroE.Arrd 6r(XvrrdrLor,rfla^ydpevsgHEAfiou6qpu,or-rp^yorivro pniga 6evelopnt6r',rolorri to rl"r,xdrotrnlviou,alld privocn6ro ofipc ror xcl cndro pcyvlrr.x6re6[o. To norvdororleiooedl.aaurdro nelpriporae[vcr,1 per,aBa),,]n61ttqpaTurpxrj porjQ" yftaaan6rc rqv[o. Kdveredvcvd]"e11ortovnopondvoJroQdrrlqioeovyrovo ro enr,peBcloioere.)rjpgrovo,perovvtipoencyoyjgrotrFaraday,noue[vor,to Odgrorouerri- prevous6opiou,oedl,eEcwdgu,gxoraordoer,E11enaldper.4HEAeivclavril.oylrouqr0- potjp*aBo),tjEr1gltoTl1rrlrliEQo{EOsnotr8ucnegrdro ridr}.rrrpcror q cpopdqE enali- pev4EHEAe[optritor.ondro cv q po( clldvncu { ;reuiverar.fic n1v(opeNnavopolri- ruregonefqeg,1HEArqgplcgorefpagro]'i'ar].uordlerauerlN. 3O-2 o iox'ror roY FARADAY To rolvdlagcmlglorrxti 6l.ovrov qar.vopdvoverorloyjEe,vdrI l.ttraBol)"6prvlpo- lvrpr,xrjporjrotr blureqvddvcnrixl.opa.X(:ppwa p.ewt u6porouFaraday,1IIEA nou entllercroedvcnrixln,ltynzfuu,ald).op1rouquOporipetoBo),rigrqgtrro^ywpr.lriEporjgnou 6t0repvdro nrix?lopo.flq6ro, agencvelertioorj;.ler1v dwolcr4gpc.lvltlxrigporig@, (E6.28-3):Xroqefomtpf^tengdAppioxercrpdocoepclvrylxdne6[o.B 1 pc^yvlrlxri porj/O, nounrgvcipdocurd qv crrqriveraeivcr d@u=3 tr4= BdAcosQ' rirou@efvcr,1 ^yrov(c 1.ntaQ(r,avB xatd.A.(Ilpoooli orov6n1aplop6 perclri / xcl @r.) H ol,r,xrjpa^yvrplxriporj@,p6ocald plo enr,qriveneivcr.Tool,o?iMQopoatxtiEqE 6x- qQ0olEfidvooqv sfirqdvs|,0: o"=ln.u=lnu"o,o. Av ro 8 efvcropopvdg oe ;lc en(rs61entqdrtel'oA,r6r.t. (30_1) Qs=B A = BAcosQ. (30-2)
- 5. 3O-2 ONOMOETOYFARADAY :ra E!.(30-1)xcl (30-2)lpdreLva efpc.orengooerrLtoi1tdr.vo oQ[oouptps ocrp{vercr1vrcre{Ouvo1trrr bravuoptiru,tA xctM.Yn6.q1ouvndvro6{o xmerOfv- oelgnol eivclrd0ereEoeonorabr{noree:rrqdveLo.xcLro nqdolpot1Epa.lvlrutrjgpotiE nou6lcrepvdr1v enlgdveroelaprdrcl cnrir1v xorefOuvorlrou enuLdlapevc.efvct 0eruxrj. Ovripogeraytolr(grouFaradayop(erdt: H enuydpevloedraxrixkrrpaHEAloorltorpeto cgvrltrxtllou qu0poripe- tapohig tqE pap"rplxrigqorlgaou8loregvrito mixltrrpo. Meofppol'c,ovtipogror Faradayefvol ^ da" a[ Iro va larcldporpe q oqpcofcror.ropvryrxorjnpoo{pou,lqdneLvc eLocycilouptpLc orjppcolnqoorjprov1r.or1v enaldprevrlHEA,€. Ag6o{peripargrpc6rc6vccn},cirapci- berypuegoppoyjEartodror vripou. I IIAPAAEIf N{A 3O_1 841 (30-3) Pnipo aou endyxran oe pqdlo )ro X1. 30-3 ro pqWI- rur<ine6(oovdpsoq oxougrdl.org rou ll,ExrQopqyv{nl s(- voLopolevdE oe nriOelpovlnri oru'yprj,c)"},douldver pe prop<i0,020T/s.H sfirqdvsLoro! oyrrilupoupprjlou p6oo qro ne6io eivor,120unz xat 1otrlnf cwiorooq rou xunl6- poroE,po(i pero 1oiBav6perQolior rov cvflordrq, eivor 5,0O. NG PQe0€f! tro1,6p€vqHEA, xs06E ?icrrro enoY6- p€voQ€1ip0oro }rli?iL(Dpa. AYEH H Er,rpdvEtctA = 0,012m'zeivor ord0eQi, dQao Q!0p6EprrcooL{E 11Epapqruxrjgqo{g eivor ro yrvdp€vo 30-3 Axi,txoEd'y6yltlog0Q6IoEoEouqovdpsvol.royvryfid ,rE0io. qEl €r[frov Qlopd peraBohigro! poyvlxu.iorifi€6fo! B: d6^ ,tt2 ";," - "; o = (0.020T/s)t0.0t2m:) = 2,4 x 101Y = 0,24mv. Aurrj eivct n €roydu€vl HEA t. qqilvowdExdrd lcpog ro npciorlprorou 6evdXougrpe),rrriorro.xriptrl. Af(er, vcrencvu$epcr,c'ioouperI olvdr€ro povd6ov orovuwololr,opdcwdv. YrldQxot'vfio].],oilTQ6xlo[vo ro xd- vouurcurd evcqrpcino<eivqrvc JraQarlpioouurorrcnci rlv 6lrgQsonytg q pnyvlfl.xrj odvapq F = qi) x B e[oqe 1 T = (1 N)/(1 C . m/s).MnoQo{p€€nopdv0rEvq €nqQ(i- oou;re11 pov<i6orIE poyvlruiliE eoriE(l)E(1 T)(1 m']) = 1 N . s . m/C,xor rou Q!0pof percBo).rjgqE FqyvlrrxiE qo{gcog1N.m/C=1J/C= 1V, Apa1 povciBcrqErood- 'qr,aEd@B/dtEicttro volt, <jnogenupdl.l,er q EE.(30-3). Enio4s.ouulo€irscirr4 povciSor4g pcyrlrtx{g Qorissivqr 1T.m2 = l Wbxouriqo.1V = 1Wb/s. Tel.lrid,Toenoy<ipevoo'(orlixl,opc Q€{pal eivql . t 2,4^104Y ,,= ; = ff =4.8x tosA-o.o48mA. Andpq Osvdxolpe BQEIrl qopd ro! QedpotoE.Autd 0<rei- vnrro en6pevtipoEB{pct. OoQdrIE efioy{ipsvtlEHEA Mnoporipeva pporiperq qogripr,cEenclipevlEHEArj ev6Eenc^y6pevougeipcroE,191- olporou6waEqv El. (30-3),pc![ peopr,ope'vougxavdvtgrqoorjpoupr rovtlrig tp<ino: 1. Opfnrcrq 0enlrixcreriOlvoqroudlcvioparogl nol lcgcxtlg(er, n1venlqdver,o. 2. Ol lcrel0rivoeLgrol I xcl rorrpc'yvlrr.xofne6[or-rB xc0oq(ou ro rp6oltroxIEpd- prlrr,rrjggorjgOBxor,Tor.rQt0podtrsrdpoliErSdQsldt. To X1.30-4(ot1oel(6c 842)6ei1ver,pegr.xdncpc6eilpoto. 3. Aqiore ra bdyruLarol delLorlocgleglorjnipalon6ro 6r,tiwopc,4dlowcErov6e- lri ol.rileupaoqv xoxsriguvolrorr,4.Av I qoQd1rroEHEAtj tv6Eqefpctogoromi- x).copaefvalq (6r.cpen1cpopdnorroxo].ori01ocvrc 6dpr-rkiocE,t6te eivou0etlrj, rvuravrlrr qv awiOrr4qoprieivoraqvqrtxrj.
- 6. B 842 KEOAAAIO 30HAEKTPOMATNHTIKH EIIATATH 3G-4 H Fsyvlfl,x{ Qo{ €ivor (a) Oerwrjmr cu[river,(b) 0ernrjxcr p€l(liv€io! (c) aQvlr,rii xql l.r€|,(6v€i0[r0[ (d) 0Qvfllr{ xor duqd!€1.Apd n Or ouEdveroirE ,r€Qundo€ls(a)xqr(d) risr peur:veroonE@)rar (c).!16 (a) r0r (d) orHEA eilor 0Qvryr,rdE (dxow q qoQdtov 6€u{1ot!iou pol,oyloricv rr,EncgcqQ{ooupEqrd rrivo), evc6ong (b) ror (c) eivcr 0€rrxdE(dxorryqoQdswf0Eq qE qopdEtrovberxldvtou polollo{). 1 a )o " > 0 . $ > s (b)o,>0,19<o dn (c)ou<0,ff<o (d)o,<0,+>0 )ro IIap. 30-1ro-461srxcref0lvol npogxdrldvco.EdvfldQarrlQiooupsondrci- vo,I osxrltlit oTovpg61od1er,qogricw[oen1qE qoqdErov 6rrrr0ivxo! goloyrod.:r our6ro rloQdbsrTporol rol B brixvorJvrrQoEra rrdvo,U,rofiord]"eopc1 <D,vaeivol0e- rr,xrj.To trr6rqoB ctravnat,6paq d@uldteivarOetnrj.Xripgovop€qv EE.(30-3),1 t rQ6nsrvo si;voroQvltx{ dxrrrrl qoQdxov6rrtx6vrouQolol,rodyiQo ofidrov BQdXo, dnoE6e(1ver.ro X1.30-3.Av onl e6o1tou pprilourrniple proropao,ro olu,eioa 0oirov o 0erut6gnd)"ognclro olpsiob o opvrlxr.tdgrtil"og. To qedpranol rfldysrarofldouxrirlv HEA 61srsfifolErI goQdxov6€r].rdvror Qoloyro{.AurdblprouQye[dvanQdo0srotroyvry?rdnr6io pdooorovBqdxo,?rolodp- qovo p€rovxov6vorou6€ErodX€Qroli,I goedxorefuoiovtiq| 4 a1[6dnxrivrou[€6io1J rou ]IQo}talt(o l],s].fiQopoyvlixlg.Au[6eivor.6voiroQd8sryposvdsyrvrl{ori}{ovdvoJrou ovopdlero.Lvdpogror Lenz(Asv(),nou0c p,ei"er(oouptoroE6.3H. )ripqtuvopt rov vtiporouLenzxti0e€fioyoyl]rdporvdpevorei:velvool'nre0€foq p€xopo]'(rlooxor[Qo- rdlros.:TIV fieQffixoo'4ounip€xoBo],{efvorr'lofE1olroufiei(oupdooorovBQdXo.O vdpogrouLenz,nc0r6gxcl ro cpvryurriradolpo oqr EE.(30-3),dlouvdpeololdo1pe rl 8roniQ1olrllE€vdQTeroE.>xeq(riTrrr eoouvdBow€oxT1vneQ(rxroolrlorixoerldyd- pevogeripceil1er1vdl,raeexqgoQd.Tdxsro rle6ao0od0Qocowovpero r[e6aofiol rrQG tnrjqle,nqoxckiwcgenl:rqdo0er1ci!1oq oq go{ no0r6grcl orogerjpc.Oc cvnpno- n(ape praavel6l.e'ymr1xcrdorcol, pero gedpcva auldver,(xcupeouooriqer-ro1evdq- ^yelcgoropcyvlnxdne6[o)1og(gtiquo,rolkil,o,ov 6onouvc lucioelo a1o1<ig.Aw<i o(youQa0arroQoBio(e116lodp1o1n1grveqrprcgrcr rerorrErcrcmdoeuE6eirouppoi- vow onl cpiorl. Kdvsrelir eoeig6vav6l.e11omc rp6o1pc.rov efiaydp€vovHEA rdr,prupcirtrrv yrctc neqdpcro.noucvc.gdgol'rclo'ror6loEror E6.30-1.fLcrcpri6el1pa,rftcvo ppd- 1ogppioxercr,oeoTc0egrine6[oxcl rov ^yefgoupe { rov or.ryn6oouyttdovtcl eAana9ei r1po{ :rol rov 8lcrneqvri,1 HEArcr ro ge{pcnor.rendlovrcldlorv qoqdavrf0sqqE rpopciElr.rv6rtxrujvrouqotroytoudrcvrc:rcquqqo[pr cnci:rcivu-r. Edvdxoup€dvorlvfo peNncvoportirunegonefgegxal 11gorjpercBdl],erclperov fbr,ogr-r0p6oexd0eoneiqc,ol encl6pevegHEAn1grdOeoneiqageivclioeg,Bgioxowcr. oeoerprixcl npoorfOewcl.H ol.lxrjHEAeivcl s =-N44 AT (3H)
- 7. ETPATHI IKH EIIIAYIIIETIPOBAHMATON O vdpog tou Faraday l. fLc vo rrrol,olioet€ xovQruOpdp€rapoli! rIE payqflroig eoig, ttp6n€LrrQdrrqvc xqxqldp€rcr[ nQor.ctreio1percpol.f rIE eofE.Krv€aidro oyoy6E;A.l.,rdE€ro npooovorol.uopciE rou;MerapdLtrerolto l,tcryvlr[r.dJrebfojNo gugdor€drr6€v 61ero4pcoio q i6Ltrq poil, ctl')i o pu0p6gpeaBoAfg qg. 2, No el,pdor€lov ?{ovdvonQoo{pou1rqr1 oerlx{ qopri ?lEpoliErou pay!,ryrriolin€oio! rqr rlE HEA. No rov 1gq- orpororeir€[€ ouvdn€ro6rda€eoppd(etetrEE!. (30-3)ri 3(L2 O NOMOI TOYFARADAY (30-4). Av o dytoydE€ivoLrqvio peN oneipeE,polvieXdoe- T€ac notr.l,orloordo€i€ p€1()N. 3. XQrlorporlo{or€ rov vdpo rou Faradayyra vo Fp€il€ rllv HEA. Eectppdor€torrExorciveEnpoorjpol 1r,cvtr el4lioe- rr ro rreooluo nou F'Xsrro qnordl.€oud ooE xql ylo vq tc- oogiorxr xn eopd rou €rr(tldp€vouQ€ipqroE.Av rl owforo- ol rou rulcl(bpoxoEefvct|,yvoqr{, rdre |r'iop€fT€!q uro},o- '/io€I€ ro e€ipc. 843 -EvG rlvi:o rlou trnoxrtr€irordn6 500)rur.),lxoi( 13QdXo!E oJQ[crrosp€ czrivo 4,00cm eivcrrono6etlpdvo crvdpeocr nrolg nr5l,ougev<ig[eyd],ou1l€xxQopcryvirl xo trclvnrrrd ne6io eivcr,orooepdps xaxs{olvotl 60" an6 ro erineoo rot' r[Ivtou (>X.30-5). To ne6io e]"orr6vetcrge pl0pd 0,200T/s.No PQ€O€|1 or6l.ur4 rrprjo1Eercrl<ipevlgHEA. E l i P ' ' , i I I r - t ( ) - : R A u 4's'' lnu" " u i ! ' 1 ' . r l l i , , - { l - - AYEH Aral"dlte1Loto,{ rqv zcrterl8uvorlnou dler <xoX1. 30-5. Tdx€d eivnL4 ycrrvicrpettrlri rcov,4xcr B. H Qoi O,, oeororc6{nor€Xeovr,x{cnLygriefuc 4)R=BA cosC,xcro Q!0pdE[€roFo].iEx4Epo{g eivo.Ldor/dt = (dBldt)A cos0. Xqv neqimorq cnrnldBldt = -0,200Tls,1 = z (0,0400m): = 0,00503m'z,C : 30" (xat t*r (t0"),xat ria^ ta i =:A'o"3u' = (- 0,200T )(0,00503mr)( 0,866) = - 0,000871T. mr/s= - 0.000871Wb/s. EeaQF6EowqErtv EE.(30-a),n €raldp€vnHEA€ivar €=,NryAI = (500)( 0,000871wb/s) = 0,435V. 'Orov ncpcxrlporjpe(lrd Tq cQ[(x€Qd,rpoE r4v l.lc.rer.iouv- cr1rou 6ral.ric;rcnogfilg €nr.cpdv€tqE(30' rr<ivtocrn<ito po- yl4rlx6 n€6ioB), I eetrxr]qogd yLtrt1v t er:vcrn qopd ra)v bernr6vrou po)"o1toi,ofptgovc{ll€ Tovzsvdvq rou bsErori l€Qroi. H HEA eivc(r0erLitrixoLdpa dler 14gopd rcor,6er- ?.ir6vrou Qo),oyrof.Av tc rixgc tor oipparoq ouv6e0o{v gr tvuv urrrorcirn.I poQrrrou QruFqrogmo nlvio fxrl r- riorlErq gopri rcov6ermov1ol potroyloli. -Evo xdxoroQ€i- pc 6iverrpcioOrr4[oy'llxI Ertrqgtoo cnciro n4vroor4v f6raxdx€{Orrvonpeq porjord tov 1}.exrpopolvrjq x<rrd- prcrTeivervo cwlte0€i oxl ptirool rIE o),rtig porjg. 30-5 To lLdlQoro! B prLcivercr.Mer1vzcrri0uvo4 aoudleLrorl, I polinor 6lcaEpvdTorrlvio el,crroverctpecororfieopo1t la ri'dl0rrui. Ar'Lcio1r.rrorXrior HEAzuror peufo:rourxrr qoQu ulrrp ruv 6rrxrurvror pol.nlnrl Trrtnrrp,rrrjprlo4u.rii rooQtmFUL, ridrdrI! xor€iouvol Toul. To nQdo0erofie6ioB nouriQoricL€i:icr ar6 ro €rroldpEvoQ€ifo reirsrvo owloxoo[iosLrl [siool inEpoiig. -EvaE crl,dg rlo.Ll"6xag 'Ev<rg rerpcrlrovLrtiEppdlog :rrprmprr'gtrcrrU€fi(r0FQriyu,vrcrxr1ru;rirrltu ,r '1ripu-ro;rci cllovcr,6rtog 6e(XveLro )1. 30-6 (otr1orl.i6cr844).To gc- yvrlrtrldr€6ao€avoro[oy€vdgxar ora0epri.)t1 lgovrxri onypri I = 0,d = 0.Na 0Qs0ei1 ena16pev4HEA. AYEH H qoq O, gcocanri rov flqriXoerv<rrioq pero yrvti- [evo rIE rrngdv€[cr,(l €'[f q1/ cruvrorooorou B fiou rivdl nti0eq o'tqvenrgdverq,6l),obi B cosd. Ttire ,1(j.. F = _ : + = u B A s i n o t . H eroy<ipev1HEA, t, petcpcil,),erctqpltovoer6oqperol 1q6vo(21.30-6b). EreL6{ 1t €ivor,crvd},oylrtrrv@xor B, 0o U:roeoioa- pevc lplolponorrjoou[€ qv FIEArr€elo"rpecp<ipevourlvi- ou yrq vGU€TQlloou[rrlv ruxliTlrrrlrprmpoq{g 1 ro pu- lv4tLxcireOio.(H crpSjorrrriXpqoLpoxror.€irctos oQropdvc( tiplovcrltcr 11prdtplol rou payvrlr[rof nebiou.) 'Orcl ro e-Qp : BA cosQ = BA cosot.
- 8. 844 KEOAAAIO 30II,4.EKTPOMATNIITIKH EIIATOTH n(ns6oxo! Bp<i1oueivorrrdOetoolo B (Q = 0 I 180"),tl O, qr<lveuorq pdlrotq xcu n1ve)'riy,oq rlp{ qg. T6re o orry- prc(oggu0p<igperopol.rjgn1Eelvot p16dv,dQqxor ri t €(- var pq6dv.EfiioIE,I t €iva! U,dytorrl6rtrv ro eninsOorou pqdlou eivar,nogtil,lrllro oto B (@= 90' i210') xcL't1@s dlerTqvnroyprjloprl peropoltj.Tel'u?rti,ttopdalQolil.l€dI[ rl eral<iprevl HEA 6ev efoqttiror, on6 ro oTfpa r'ott pp6aott, ol"ld pdvoon<lqv errqdvetdrott. I - * J 1 - J 1 '__ *R (ar (b) 3G{ (a) lppcrwd ouilpoppo cr}'ot evo vinq, dnor.rdvcgoycolLpogpQ6XoEtreQlmQdq€xdrF6octo€ pa1"ll1[rdx[€6io.To xdoeri4o tou Bp61ol ouvbdetcr,pt to elonepwd dx]"op'x [e lov 6orniho Etiqq{E S.To oJoq[a rqpouordLeroirl XQo!t]i{mrYui droveivqL.dt= 90' (b)IQoqn{ llsQdoroonqs erclripevqg HEA orc tir4o ab, nooo-rvo6eierq!ctid iotE owiolotxoug ltpoocvcto].toporigrol ppdlou rcrci rq 6rcipxrrtrprcE:rLiQou(rrQrorooqnE. 30-7 (a) Xgpotut6 iiuilpopltc yEwrirQr,oEouv€XofsO€1iFq'toEnou XQqorporioreioul").dlirl (6qrfl j).Lo pe6rioeyrondg). (b) Iaoqua{ r[sprioi0ol rIE sncryd|,t€llEHEA orc rixpc ab. Onepr,orpecpdpevoEpq61oEe[var,to np6rulopomd]"osvdErufiouYtv4irQloE€vd].- ),aoo<ipevorperiporoE,ror'rs?4,1,1dxrtl,rt' avcrnl:66oer.HEA oesEorsQu'(d)fljll),o[o p€ rrf poi0rrorov &io6axt .iavenaElES,ororofotxreQrmQdqowulpetov pptilo,dncog 8eipelro )1. 30-6a.Xrc0egdgenop6EnoluoTo1trlowatl)4xrpsEol.ro0o(vouvorouE6a- l.mulfougxorr[vorouv6s6spdvrgpsro drQasEdbou, xdtb. Mroporipevo lqlolponoujooupep[otloQdU,oro6tdxa!11r,cva elaocpc],'fooupe FIEArou dleundwoxofbn nQ6olpo,dnolE6€ixv€tro :X. 3G-7a.H 6ufta[1ctnrjovogti- trat,ou).).ixrqgxat"owrorQdqsItts ouvbdoelEpero elcote,olx6xtix]"rl;rcortElcDv!d]tdE 0doerEdroucl"rr,olq6petauq HEA.To)X.3G-7bD€f1vstrlv HEArot-txlQo)tlirr€[.AtxriI o'uo}i€lJ{sfvorro xlQrirunor4ElewrjtprcEouvsxo{EQsipoloE.ferw{zquegouvtXotigqtd- paroEJlou)rtllil.oqoQo{voroepr6Qm6Lo06rouvdl U,sl,dlooQ[0pdqvfov ]io[oui s- 1rr6v'oori Tlbuircfu elopal,iver.td eEoYli6poroonll HEA, peanotdi,'eopoI xdol dro tixpuqE q1(E va p1v6It[ ofii!68ptoxorstiOuvol,o]'].dxdtvo s[va[fiQorrr,rtdo[d0sQi (xupcuvdper^r1ouv€XrjErdol). H 6r.rfuo[qcrn{ pt Vri?4TQeE)rdtou},ldnr4lqrloqolonjfu- r{r sJ[iolEorov]rwlnjpa ouveloriEperiporogoqv ovdtruolrolj E6.28-8.H otrll].t]'fiQ€- ysQrrxi6{voFlrot!xrvrlfliQo.t(vototrlciEq HEAnout]Idl€Iot ord xll psrapo]"ldpevTl l-rdyvrlrLxriQoitrdooondTorrQrorQ€96trFvo'rlvic rou. l: 1- -Jr
- 9. JO-2 O NOMOETOYFARADAY "r/z 3t)-8O 6ioroEtor Faraday.H F(Yvlltlri Qorioultirer eitet6rjl rdnittvq :reprrof peloltiveL. vo orL^yplcfoperipaoro eforreqtxi xtixi,,cop(!]rououvodercu pero qvio. O poog<igpetapofig r4g po{Epdocon<iro nq- vio eivoLcvrilolog tou pedporog,rj rou puOpotj.oo{grol poQTio!,p€droxd),€op(ivq €ivcr[€ri?4o]"ovo 6efioupe<itL1 oAurj perc$oLqqg poriEeivoLavtiloyl tou otrrnotjgop,rfou nou pdeloro miz)'trrpo.Mnopo{pevcrxcfioo)i€udooup€€vo <iglovo rou petpti armj qv ol,lxtj petopol,{ tor p€crur6rov rprjno vc urolroyioorpe to B. Agrivorlp€rtEl€trroLtdQ€t€g oe ocrg,orErg6fll'qpc. Av q 6odpecnroqgri,cu{ q pdOo- bogdiverpcivoro gfoo rebio orrlvrntqtlvrro rou 'Inviou. Xqv negirrrcooqdporgnou4 enrpdveroeivcl pLXQri,rdre ou- rd eivcrnepurol ioo geTote6(o oro xdltQorotrtwlviorl. 84s O 6ioxog tou Faraday 'Evcg 6ioxog pe cxrivc R, nou 6eilveLro !1. 30-8,pp(oxercroro eninebo.ry)iqt tr€Q[orQd- geraupeoroOep<iltlvtox{ rcrlriTqtc coneQilov dEovaz O oioxogeivcrronooeqpdvoEo€ opoYevdE,orqoeQdr€6io B rcgdLl.4l.oorov cifovoz. No ppeOei1 erqYdpsvrlHEA p€- 1qE$xoutdwQou xGLqE neprqdpeLagrol 6(oxou. AYDH O€oQorip€coEtrixl,tr.lpctro neq(lpoppc tt15xtircxr- v1gneplol{g rotr >X.30-8, A€v utldQ1€tQoi Lrdoqqnd xo op0olrrrvLorp{pc oro erfne6oyz,ere6f ro I eivcLnctgtil- lr1lo peaur6ro erftebo. To zdnxuvopdpoEtou 6(ottol oro enineDoxyeivcndvagropdog to epBo66vrou Efurlr;R'0 xot 4 porl<Denoureevd qtrdqurdv rivqt 68 = :BR2o. Kcr06Er[tQlorQ6q€roro 6iozog,1 xtixtrvl neplopi pelc- ),c6ver. Xe lpovrx<i or<ioqpc dt q .yowlcctrEdvetxw6. d0 = rudr xoLq po{ cnrl<ivelrcarti dQB= tBR2d0 = :BR2@dt. H enoy6pevqHEA eivcu e =-* =-InR',. a a ' Mroporjpe vc l,ololpoltolrjooupe ollti fil ot'ofi€uli olgqTj HEA oe xrjx)"opoov ro oupnllptiooupe pe o)'r- o0aivoroegenctgdg, qlPimaq (b o1oo:tipo). H HEA rou 64pr,oup1eidvcrErd,otoE6aoxoEpEL€lt]0!tt€qtr6rov Faraday.H ouoli€uri ovo1tdetot,ioxog tou Faraday,l opo' noknj yevwjrpn. I ll.'PAlrtf 1l , 3O-;l r II A P A, li I I lr., 30*5 I ll.Pl:lt1 . 30-6 To fiqr,aoavaxv€uoqE 'Eaa; JrQqxtu{dErQ6[oEvc perQl- e€frt dwcol rou pc.yvltLnofnebiouefvcrvc lprqolporot4- 0e[ prrQ6r[!1,iopleno],riocprprineptd].fq N onelqriv,nou o'rcstaetatz4 o aviyv€uo4(.Av I €rrtgdv€lc rou t[tQ[l]€(- erto rqvio eivar,4 xc(rro ordvoolo rlE €lttgdvtrcg e[v(r[ crplrrri eu0r'yqopplop6vope poyvrlrlxt5ne6io pdrqol B, 11 pori<D,nol blonepv<irorqv[o eivnliDo= Bl. Av neQlorQd- rpoupelgrj'yopoto rlvfo xotti dvcrdtopro r4Eorpog{g re- pi 146uiperg6rou, rj cwro rpaprjlolpLextrLto p'yd).oupeo- rtftopc crn<iTo ne6io,1 go{ e}rctr6vercrpc16cr(oorci u1v r,t1.ri]BA or,op16dv.Kcooig ei'c, rcrivercrq po(, epgo,v(eror pr<rorryproioercl6pevq HEA, xcl rcrparlpeitctrenclcipe- To )1. 30-9 6eiXvtr6vcrv<r1ro1<ipteoplpcr U oe opo'/€vdg palvlrLrd ne6io B xd0ero qro erar€Oorou oxripcfioErtcrt ge rore{0uvo1 zpo( rq oeli6o. Tono0eroripepercrltrlxrl prip6o pe prjxogt n<ioetuorr.g6rionapri)').q)"tgrl,euq6g rou oyroyori,riore vc oyqpcrti[ercLpp<ixoE,tql trwo6[e rrl ptlpbo rpoEt1 6e[rd peorae€Qixqxdn]tc u. Ncrppe0e(ro pr,drpoxc{tl gopri qE tttoYdp€qEHEA rou 0q rQofifp€t. AYEH H pcrlvlrrxrj pori pdoc crrd tov pptilo petapdl'l.e- rcr eneL6{crultiverq enrgdveuirou. )e lpovtrcdOLrioqpa dt 1 pripbog6uavrjer,an6mao! o dlxq.t 4 enrpdvelootrld- vevxqtd M = Lo d1.O€oQim€ drt q oerrl i lateriouvol .7r<rr1v enrcpdverceivcr,nqogro o1t(trtc,ncrpdlJ'ql'qtot B. Tfte, ! [(ryvnrr?(i porj pdoc ctn6rov pQdxoEfvc(!o€xuti, zct cultiver oelpovundOrdorqpcdr xarci d @ " = B d A = B L t t d t . 3G-9 To FoyvlT|xdr€6[o B rr0c'ig tcrrro 6tdvuol.t(rIE €trrqdvEloE I dxolvgoQdrde€q oq oe),i6.rtpoEta liod. H c{Elol xlE pcyvryltrjgporjg(noulQoral€ftot ard Tlv c{Eloq t1Eelr,qtiveLcg) rrciyeLqv HEA xcrLto peripo.rou 6eixvetro olrjpu.
- 10. 846 KEOAAAIO 30HAEKTPOMATNHTIKH EIIATOI-H H ercl<ipevqHEA eivcrL ^ do, fic vc epplveriooupero cpvrpr,rc<ing<5o4po,crEOupq0oipe T 4 oripptroqrcovnqoo{prov:Kareu0rivererov 6eltd ctw(1el- qc onlv xctriOuvo4 rou 6rov6opcroEerlgdveucg,4rc 6d- 1rutr<rorpipouv perI popd rou d1erq 0e1!xi HEA. Xr4v nepirnrooripagaurti ouppo(verFs eoQdy6qc'lorrdro BQ6- xo rou >X. 30 9 a6!apecuniv rtov Oerxrcrlvrol gol.oylo6, <i- rog gcfvrrcu cnd ndvoJ,To qQvllxd nedolpo ollcivrr d- rl 1 apoyporr j HEA 6N€[qv (lv[ioErnqop<i,rjntogaeiper ro ox{pc. To eral<itl€voe€fp(r €'[(oIEdlel gopri cwioerq TrlEcpogriEttrrv 6erxrrrivtou poi'o1loti. I I'O KI H}:H! H xiv1o1evdEcya.ryoipdodor pol,vTlrrxdrrs6(opag6ivt[ rl Duvcttiqtcvc xaravori- ooup€xolfr€Qoq bnpLouQy(aqS sra16p€vlEHEA[s ro vdelerdoorperq pcprlrLxdg 6rvdpre6oeqopriarorlayoyo{.TotX. 3G-10abeilverqv f6roxrvo6pevlQd96orro!pd- Lr.gpre?'e{ocpemo Ilcqd6. 3G-6,caopovcrr;idvqnpoEro lcp<iv urd rov clorycipeo;{pc U.To poy!'prd rsbioB eivor,opolevdExol xcreu0ivercLnpogq oel(6c.)q qdB6o6i. voupeoro0rgrjro1rjqrou rpogra 6elrd.ts dvflocrpdxropegogrioq or4AdB6o0dd- ox10e[pcyvrlrr,tuj6r1vap1F= qux -8pepdrpo.F= lq r8. Xqv cvdtrloqnorrcxo].ol0ei Oeoporipeto 4 OerLxdonlvneg(rror4clnj 1 8rivopld1er.rpopdnotriprjxogqS Qdp8ou npoEra ndva,ax6to b oroa.(Oc borrpecqy6regorin11HEAnolro pedp,oe(vctzc [6Lo eirero q rival 0enndeireaqvltuttti.) H pcpryrxrj6{vcpqngoxcleiqv x(vr1o1rov ri'erjOegovgoqritovon1prip6o,6ry pr,oupyiwagnle6vcopc0oruxofqogrior.rororivtotixpon u,crcpvrytLnodqopr(ouoro xrirrrlri]tpob.Aurd,perq oeLpdrou,rgoxc)'e(6vc1l.,sxrpLxri:re6foE perccre{ouvo4c- ndro a orob noucone(6r1vcp4qEorc Aop,r(cpexcrrd0uvoq:rqogrc rdro. H ouoori- perro4qop,r(olorc dxpc n1ggrip8ououvel(ercl drogtirouro E 1(vrLoqxerriLopqti rri- ore11}'enrqLxrj6{vapTlpr xfi€ior'vol npogrc xdro (pdrpoqE)vc elroopqorriotLe- wei'oiEn1pc^yvrlnxrj66vcp1rorr dler xateri0uvollqoE tc :rrivrrr(pdrqoquB).T6rt qE = quB,rc goqfu rcoQQorlolivxorxoolp€[oa PQfol.sxaroslrp1]'rirrgobuvcrprx<ia:rdro oqpefob. II6ol eivor1 6r,ogoqd6uvoplroriV"r;loo{nu"pt to ywripevotou pdrpoltou1l.e- rrprrorine8iouE er(ro prjxogl rlg grip6ol.A;rdr1vrcqontivocvdl"lo1,E = uB,xor. rioc Vob=EL=I)BL' rirou ro oqp[o a pq(oxercLoetrprl],tirrgo8r:vcplrriard ro oqpeiob. (30-s) @eoporlper6ga tirLq xLvofpev4griB8oEy)"lorpdelrard prjxoEcx(v1rouoltrlloti peopipc U, 8lpLoupyriwcgdvaxlelor6xdxlropcp1. 3G-l0b).Xrc qogriuroucxivrl- rot dloyo{ 6* aaxekarpayuynxri6ivc1q,unctpytt6p,agiva flexrprxti nt|io nots rponLrjOlxecnriq ouoodqeuolqoqrfarvorc a xcl b.Aur<iro ne6(odlprotQye[ll€- nrpr.xdperipa,pegopricwioerl cunigrov 6sutr6vror:goloyLori,^yriqtour6 ro x).eLor6 nrlnl*rrpc.H xLvoripevlqriB6oEdleL1(vel q.flj llenrgeleErxrigorjvopqEmo rorrntprxti qE, qopnfaxlvoriworonrito 1op1].rireponpoEro lgq].6repoOuvcprxti.Tqvovoptilolpe qlertqryeqtrn{0rlvopqldlo xivrplg, €, nctdqc 3O_3 HAEK.TI,EfEPTIKH AYNAMH A t = uBL. Xro[6r.ocrord],eopceixopetrorol{EeroroE6.30-2perov6(oxorouFaraday. H HEArol cXer(ercLpeqv xrvofpevrlqdB6omo X1.30-10cvalolel oeHEA pnorcpicg,pero OerLx<irixpooroc xcLro cpvrlrLxririrqoorob,cv xcLxri0rpLccaricu- r6E61erewe)'rig6LcgoperLnrinpoi)'euor1.Ir4v nri0enegfunroo4coxeircr.plc p11i.e- xrpoorcruxribrlvcpqorc qopnfcn1g8Lrircllg pencreii0uvo4orrd10, o'roa,xol I IIEA elvcrro dplo cvri povri6cqopr(ounol ncqriyeLctlnj 1 brivcpl drcv fva qopnioxrveircr" an6r,ob otoa.'O1ov118Lritcll ouv6e0eipeelorrqrxdxrixtropc,1 goqdroupeLlpcroE eivcrcn6ro b ngogro a mr16uiro!1 xcl ondro a rlQos10b oro elurrepr.r6xrln),t'rpc (movc1o16peopipcU onlvneqintoorlcrnj). Av engprioolpero u oepdr.ocovri6eueq6l.rJrro,ro B oetesla)ao[xoI ospdrQa, rdre1 t 6[veraLoejoulecvdcoulomb{ or volt.Ilqoonc0riorevc ro enLBepal6oetr. o IL + t (4, fiTllSr 1rI I 1 - (b) 30-10Aloiyrpladpbogatveiroroe oFoy€viEFoyl'Iiurd,r€0i0.(a)H QdB6oE,nioxfqrq xqrrom6io eivon<iOercperoldroug(cvd6rio). (b)OoQdrourr[clyd|rtvouo[o 1ifirlo[0 Q€ip01oE. (30-6)
- 11. 3(L3 IiAEKTPETEPTIKH AY-]AMHAOIOKINHEHE 847 I ll .l'.l:lf ll 3O-7 'Eotro <irrro FixoEl, mo >X.30-10beivor,0,10m,1ro1t1- nltrl u 2,5m/s,q ol.rrrj ovrforqqrl rou PQdXou0,030Q xor ro B 0,60T. No 0Q€0ei1 t, ro encl<lpevopefpc, q 6{vcpr1 nou co)rFiTdror1 pdp6oxar I F41qvrrrilrlx[Enou onorrFi- rcr 1Lcvc brclrlqeirl edp6oo€xiqo4. AYEH Ancir1v E!. (30-6)I HEA, t, eivcr t = UBL= (2,5m/s)(0,60T)(0,10m) = 6,15y. To Q€ripcl orov |3pdxo€f1,qr , t. 0,15v 1=R=;i30o=5.0A. Elorri<rEorrrorirou preiporog,coxeiroL6rivcprlF orrl ptipbo pe x<rrerjOuvo4awi9et4 orrlv xfurtoriqg. H El. (28-16)6iverro pdrgoounjgTlgdivnplg F = ILB = (5,0A)(0,10m) (0,60T) = s,36l.{. fro vo 6r01lol0€i r1xfvlol r1s Qdp6oupemo0eQ{rox{q- ro, nopd qv rincgltl otriE rlg 6ivo[lE rol cwl6pri, ngd- aeLva aon10e(enmg<io0en1&ivop1, io4 oe gdrpoxor orti- 0er4or xcrsJ0uvo4.O pu0pci;pr rov oroio napdlrr dplo ou{ 1 enrnp<ioOeqbrivopqeivcr1 roxiEP nou orarr€arqr yLcva 6rcr:1p40ei1 xfvlol xlE Qdpbou; P = l.u = (0,30N)(2,5n/s) = 0,75w. O Qr'0p6Ep€ro1,onoio I €ro"/dpevl HEA rrQoogdQrrn),e- xrplxrj evrip.leLcoto xrir).opc eivorro rTlvdpeaot1: P = 11 = (0,15v)(5,0A) = 6,75yy. Aurrj.dru-rgrivor uvolrrvolrvo. roorirurperqv ncpcldprrnl pr11cvrxrj rotrr1.Fu.To mior4po !.rorQsn.l lr4lovrxrirvr'q- T€ro(dpyo)o€ llezrpLnrj evdplero.Te),r"xt1,o puoprigonc6- Lelogr1),errqrxrig€v{iQy€[oEmlv cryxioxoolror' ln'r],6pq- roEeivcfiP = 1']R= (5,0A)'?(0,030O) = 9,75W, xd.nnorr €fvor€JraolEqvop€vdpevo. I II A P A. I' I I'}I . 3O_II Erlotgoqri otov 6aoxo iou Faraday @eoprjotexcrl lcil.r rov neptorpegdprvo6foxoro! :X. 30-11,rol crvcl.i- oopreoro flcrpd6.30+ (E6. 30-2).Ioyjouv or i6r.eEouv0(- rcegdncogoe exeivoto rcprti6erypc.Na ppe0ei11HEA nol endletcL percli rou r{dvreourdr rIE rreprpdpeLcEtou 6(- orcou,lprlotporordiwcEnlv dworc n1gHEA L<i1toxivr1o1g. AYEH Tprjpcrcrrorr6iq?rounou Bgioxowal oe bLcgoperL- )r,dEorloo'[do€[Eorld To]rdvrQor.ilvolilT(t![€ 6[ogoQ€TlrdE ral{qr€E, }ior 6sv [noQofLr€ord,ciEvo [o],],qn].cordoo![€ TorrB!r€fila sxrfvc. oecogorlpedr[ dvc crl€[Qoe]'dxro[oG- ?irrvrx6pilroEd/ o€ curdmcrorlr c'[d ro ?rdwQoqror€l€i f- v.rv r{rvorj[€vouyoyd. H lqxdqrcr u rort dr aivqr u = @r, zcr 1 HEA i'<i1roxiv4o4gdt rou ertilerrrr mo dr Eivor tl€ = uB dr = aBr dr. H o).rxiHEA U€rq[drou re'vrpouxot r4gnepre€QsrcE€i- !o.tro cioporolaci],t,rvcwr,v rtovouvrrogopt'rv: t R t =l aBrdr= aBR'. J n Aur<iro onordLeopo€ivol xo i6lo pe exeivorol pqrjxope Xplorpono[crir.rqETovvdporou Faraday. 3l)-ll O neQrorQ€qdtr€'o!blolo<irorndir. H HEA sn(i./riorrold Irii{o( ofirvrrojr yQo$roivlouir€QrmQsgdF€vo!bi(rrou.O bio)ros ouvbdercuoro elc'xepLrdxirkoltc pe6io ol.Loo(ivouo€EEriag;E.b. MnoporjprevolevlxofoouUsrlv 6vrororlE HEA?*i1rozivtlo4Syrooyruydtr€onor- obinor€olitro rou )irv€frdror ororobinorspalvlrlxri nebio,opoysv6gi frl. frcrdvo morx€iod,roudloyoi, n orv€rorpoQddt oqv HEAefvdrro yrvdlsvorouFdrQoudl e]I( rI ouvrmc6oorour.,x B nol efvauropci].),qlqorodl.64],a6{ d€=uxB dl. fLcronorai{nme6riool[€ao4 xarb,1 HEAkiyo x(v1o4E,!r€eoQddrrdro , oTod €ivor e=!",uxn.at. (30-7)
- 12. 848 KEOAAATO30 IIAEKTPOMATNHTIKHEIIATOTH I II A P, . E I f N'I,. 3O_9 'Ev(, o€Qo(I)i{iqoErrjrou SR-71aBlackbirdr[srd€rr(eoErov poppd petctltirrlro o = (1200m/s)j (>1. 30-12)o€ prc re- qropi <irouto prulv4rrxdre6io rrlEf4E civcr B = (zsj- 43k)x 10 6T. >1ooxrip(rro i xare!0fveIo! r[OoErnv cvaro],{, roj rQoE rov (pcyvllrxd) PoOQd,xar ro k rreoE1o [dvo). To cEeo- rd.dao6X€rp{rcoE33 m, pe dvorypa q1sQ6a17m. a) Na p.oe0eito pdr-ooxor I ?rox€60uvolrot' n€6ior'. b) 1160leG vtrr1 HEA )dr1orxivlo4g and 'qv ougriorExo Q!1XoErou c- eeooxdpoug; c) [dol €ivGrq HEA i.ri1c'rxivloqE cnd ro crpror€QdoEro 6eEidzpo trovqrepcirv; AYEH a) To pdrgorou pc'yv4trxorinrbiou rivar (25: + 432)r':x 10-6T= 50 x l0-1T. H xarrLiouvorirouoXrlpcti- EerycDvio0 xdro, ond ro opr"!<ivruo€r,'[€60 (y(')vfo6y]r],!- orfE)nou tivct! 9 = arctan(- 43125)= - 60' . b) Xelorlonororip€ qv EE.(30-7).Tu o x(rrI €(vqrorco€- Qd,dQc t = u x B . l = ( 0 , 0 5 2T . m / s ) t. ( 1 7m ) i = 0 , 8 8 V . To cpvlrlxd np6olpo cvcl'o1ei oe r[roiorl6uvspu{o{ xa- 0rig nr11cr(voupecnd ro aglorepd npogro 6€qr6d?iQo,Av Doripera qrepd oav WrqrqQic,o e€rl2ldEqS [6],oE$Qio]i€- rrrroro crQro'[€e6(6urlx6) rixpo rtovgr€Qdv.IlaQarne{o[€ cirto rt).<iroE6rv grropeivcrlpqorgonotio€r (.urriqv €nc- y6peq HEA oErrnyi Ev6e./€rag,er€r6{ ro 1Jrr6}.otJrorpipo oJrorouoi'lorsrLeto[orilrux].oiLldroEoro oeQoordgoE0o d- 1erqv oxplpc6gcvti0erl HEA. H ol.ur{ porj pdoo.arri o- roro6i1[ol€ rdroro lileuor<jxdrl'opo €fvq! orae€Q{,qq}!€i ro B vc rivor o[c0€Q6. . " 1 30-12 Yfiol'o'|,rqrdEqE snqdll€ulE IIEA qeq€Qooxdgognou rcrdet pdocoro po1'rplui ne6iorqElqg. t=1,*n'at=1,xn;.lar=.,xn.r. neoirc Peaoxoo[€ro ? x 8: o xa = (1200m/s)j x (25j - 43k)x 10 6-l = ( 0 , 0 5 2 T . m ^ ) r . H yaqFui qr(drlv ouQd[Qogro eriyxo( €ivqr orlv rqr€rj- ouvorlj rou efvcrLxdoerl oro u x B, xquI €r[qydp€q HEA eivarp16dv. c) flc ra qrepd,ol,onlrlprfvoupecn<iro cplo, ep6cugro 6e- lu<irlxpo r<ire/ = (17m)i xcu 3O--f o ot0:'r'o L[z O vripogrouLenzeivor.plaBolumjevol,l,cxruxrjpd0o6oEyrovo?to0oQ[oou[rro fiQdol- tloi xr'lqoQd€vdEsrldydprvolJQs{poxog,FloEHEA{ qv xdrsri0uvolrottcwimoLlou p! lkmQomoxr?iofr€6iorr.OvdpoErouLrnz6eveivcLpLcavrEdQrrlnldQX{,al"ldrrQo- lrdfixslar[6rovv6poxouFaraday,oulvti dprr4efucL:rLo€{XQImoE.O v6poErol Lenz poEBOTI0dsrrfoTlEvo ]roxovorioorpr6[ologTlrl?rdro bLdqogctpcrLvtipevasJroyoyligxar rov Qdl.orrourocsr I braxiQ1oTlr1EsvdQ1sroEoso'xrd.O H.F.E.Lenz(Aev(,1804- 1865)rircvdvaEfeqpavdErnLo,nipovaErTouovalraQriloyeov€EdQxlxam}.}.6EorT6ngo- vc{xct},{rln[grouFaraday)rarrotlHenry.Ordpogtou [,enzavcqdqeL: H qogriororou6{aot€poTvqtxorieorl,opdvouenoyoyigeivartdrorc, 6otevc cvtri0elcr orocfto rou to rqox6],eoe. nAirLo,pnogefvc efvcL1 xlvqo1oyoyo{ospo^yvr'lxrrdrsbio,ri I perapal}dpsvTlQoi pdooard clx(vryo}flilri'opa,i oroloobiflor€ ouvbuao[dE1orE.tqv rrQdrl ]I€Qufioro!rl qogdrou€:rtrydgsvouQe{Uarogorov}rrvofprvocytrrli r(vorrfTorouro,sq gclvryrx{ brivcpLlorovclo'yd vo 6X€[xarst0uvor]o[i8rrl ofid drxrivfiQogrrlv olrofoxrvsr:rclo o- rD16g.H }{(vrloTlrolJdYol/oi,fiouJlQoxd]rcoeto ercldpevogerjpc,ppioxtrcwiorcol. Xq Oerireplrepintool,6rou peropdi,),rrorI Qorio€dliivrFoxixlotro, ro €royd- Ir€voQ€6poalprouQyei6r,xlror pdyvlxurdne6fo.Mdoooqv enr.qdvetaJrouJrrQrxlei€l ro ){driotro,ourdxo fie6(o(X awiqsr7xcrerjouvolondro oQxrtdr€6io avro aQIrxd ftebioauEdvtl,€yet6pagqt idLaxatefOuvo4p€xooQ1rkdxlebfodvt^E(No€larrdv€rat. Aqc,ro urcldpevopedpcowLri0eraLorqpmaBoAftrlgpotjgltdooo.ndro rdx),opo(rip o'qvfbrarrl Qoi).Xe6l.eEcudgrLg:reQuft6osrgro srdydpevoqefpcrqoonc0eivc 6r,c- xrlQ{oerxostatusqro rQopdllowaEawiorcorl oqv xivqol rj psxopdllowaEq eo{.
- 13. 3O.4 ONOMOETOYLENZ fLc valndplel rnc^y6pevogeij;rc,crcuteiror.rlligeExtx]'rrrga.Av dvagalr.oytig 6evo11par(eun)'rjpegxrixl.ropc,rrirspnoqoripevc ro ouprl.lprioolgevolrd perafilrtov clxpr.'rvrouayoloriltcl vc lplolponol{oolperovvritrroror Lenz1lovouctOop[oolpe11 qoqdror.rqe{pcroE.T6regnogoripevc Bporipeqv no}.r.xdnpaorc dxparol ctlolodnott e[vo.rcvorrd milkopc.H xmeriOuvolon6ro cpqtlrd (-) npoEro OerL;ui(+) tittgopd- oacn6tovc.7c't.7deivor4 rpopdnorr0oe[1eto qedpcor4vreglrrooqnol dr].etveto xi- raDlld. w ll .! 't .{ ! i_.} 1 1. .-34J--11; Orcrvq cyc'{r,p1prip0ogxoutX. 30-13zirve(rarnqogrc 6t- lui, erdl,erauorov Bp<i1opedpcrpeqogd cw[Oet1qg cpo- pclgrrov bernrriv rou Qo),oyroi.H popnrlxrj Srjvop4nor c- ox€rrcrmnv xrvotUev4pcift6oLcilu-,<rurorirou peripcrogd- X€L>edolJvoqr[QoETc qQ[orsQdrut awftiqetaL aqv xl qoq qg p<ip6ou,oe ou!.eovfo p€rov vdpoxo! Lenz, 30-13 H &ivopl F =,II x , noudQord].€iro€ndydl€loQ€il.ro dx€rxoreriglvol fiQoExnngr,otepd,omioeq oq o. n t! .r"[, 1 r {.][ t 1r.{ 3{}-A I Xtov 6ioxo tou Faraday(( opo:ro),r,rrj'yew{tpxr) rou 6ei- Xvrtro IX.3G-14.q po.ocirou rnoydgrvouQtlipcroS€wql - y, xait VixoE prcEorrivoE a]rd ro zdvrpo rou oioxol rrQogrnv €rraef (b) oto xarct pdQogrou. H pc!./vrp!r,i6d- vopl x[o!oox€iTor"oro Q€6podI€[ ?roreliou,or1-x. H 6rilc- pI r[Qor.(oi"€(Qornifiou o,'rrxi0€roro'qv nequxpoqf rou 6i- oriou.Av qrrrorQdri'oup€TngoQdn€QLqrQoqIE,owr,oxQ6- gercrr4 qopcirou e:rcrlcipevougeUpcrroqnar 4 pcyv4rrxri Ddvcpq<rwr,t(Oetolorlv rivqoq, oe oupgtlvic xor nd7'"1pe Tovv6poro! Lenz. 30-14 H 6r1vou1nounoleircrLoropeipnI orov6iororQonq?'€i Qofi1ifior dwLdo€iolmlv d6QrmQoqiioo 6ioror,. ro 1[. r].! :! rl I f 1r.l 3{.}-} 2 )ro X1.30-151 Qoi pdoo0116rov l3Qdxoot|Edv€r.H snq- ydp€q HEA rrQo&ql"eirivo.ero'ydpevop€6po.Aur6 6Ipr- oupyeipalv4rrxcine6io pexcrrtiouvorlrpog ro xrirtr gt'ocr orov Bprilo, riore lcr cn'rr,t(0er<rrorlv crj[1o1 qE porjg.H rl€Qirwool olflj rlaQolordornre r<t mo flcgd6. 30-1. O vdpoExouLenzto'xieuxcund),1. 3G-15 To Erra'fdpEvoQeipci1er.q qopritc,w6€rti6! ior Qolol|oi diovro r[dQfir]Qoip€o,rdrdvo ord xovBQdXo.To,rQdo0€ioTisbio iror'dDro64proLrQyFi.fxFrrolFJeuvol [QoErGrcrTr'r.ur ouvfrrro.vc owni0ercL oqv crilrlorl ror fi€6io! fior dxE[){oi€ieulol nQoEro rdvo. 849 I
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- 27. EXHMA30.-31 rd xo€riir€60.:ryxorro D,rloQd],lrllqoroefifJIeooxu.)Nq 0Q€iI€ xI oroqoQd6uvc{lrrlro{[€roEfrov dxQ@vxouxde€oUQFqroE. 30-29 MLcl'enlj pdl36oE[e p{roE0,620m reqrmpdpercrt'- pruundciEovo:roun.pvcilrciOcrcororvacixqor4g.pr ywvrax{ rqljqro 8,00rad/s.Toerireboregrmpoq{ExIEQd06o!€ivqrxd- 0Eroo€opoy€vdEpo'yvrpr.xdne6iope;rrirpo0,500T. a)Ildorlei- vcrr! €iroydpeqHEAmrl Ad06o; b) IIdo4eivcrq ELcrgopri6u' vaprxoriovrigeocorodxpaqE prip6on; 30-30 MroqdB6oqa, xrv€frorXoQiErQrpdEoeolciyr.peEpdyeg droEdeiperro 11.30-32.To oufilps ppiox€xoroeopoyevdEpc- yvrl'nrdre6io xdOeTofio €riJ-[€60rlE os),i6oE,peroreriOuvorl ,TQoEro lr6ooxarp€[drpoB = 0,60T. Od),e1rvc l.ioTGoli€l,doer€ dvcdQyovoeEdorlolEpeoudv rovtru11cvro[d,mo oroio?(iror- ocyuuvclFTolzrvuiwcgrr1qdp6opnQo(-rrioorLl€ll€olroxurnrc 4,0[Vs.ndol owimool Rfipdfi€!vqdx€rro ldxilo[s qvo dv0Qo- roEnot'}{!efq Qdp6o0onqQd^lEL6Qyotr€p6ooQuopd200W; EXHMA 30.-32 30-31 IIe glotge tptipevogpgtiloE. Oop0olcivroEBpdloE rotl>X.30-33,geeppoirivl atl ovrio[ooqR,rl€QrorQdqeror[E oioO€QrilcDvrcrrlxo1rirlro.a;.7rigoondtov rilovcry.O Bp<i1oE I3Qiol(Ercrro€o[oy€vdggol,qrrxdrebioB oqv ncreii0uvoqroud- Eovor. 'Eo[cD drrt = 0.y[oq 0dor1aor-rosixv€txotX. 30-33.Nq nqptrmiorrryQcqrxcirrg:rcprrxcirculoocirlrrEouvoQTlosrTou XQdvou:a)q QoiOsnou6r.wepvdrovBp<ixo,b)iov Quold[E- IIPOBAHMATA rapo),{Eqg porigd<Drldt,c)qv €roy6l€vlHEAorovoQdxo,d) xI Qo,uizrou crxrorr€ixoryr"ovo6[0qpq0ei1l€Q|mQoqixo! pQd- Xo! [€ oro0€Qri'yovroxr'jroltqra, e) A€q€l€drrro dQ1,oro! rcpciyrr4 rlurrqrxrj ponrjor prc:r).{plleprorQoqirrvoriooLrf rqv rltrexrgrxrjevdp.Telcrrol ncrrcvo).ioxerol(perorpdnercloe 0epgdqro)oegrcrl.rfQlr€QrorQoq{rouFpd1ol,. 30-32 Yro0dme6rro pqtfuogrou)1. 30-33rr€QrmQdgercrN- pcocrnda)rovrilovcz, b)rovrilovn.r, c)plortreuQdrlcpdll,I- 1.1movci[ovcy.Bqeir€xrlpsyloq €fioldp€vnHEAyr,oqv rd0r n€Qfmtooilqv.4 = 400cm', .lR= 2,00A, ar= 25,0rad/sxql B = 0.500T. 30-33 -Evcrg etnogmogxud"r"xdgpptiloEpr 6rdprxQo0,100m FQiox€rsrldoa o€;rcyvqrr,xrire6ionouiX€[pdrQo1,50T llorxo- 'retouvorlxci0e11oro enir€oorou>X.30 34ror npoE'ropdoo.O BprilogrqcrBr,d,cl rqoElcrd[o mc oI[saoror' 6€ixr,ouvro pdlrl, dio:rouvop46evunei1 €JT[cpdv€rdIou,oEXQdvo0,200s. a)Bqeire rI ldol rnc(,/d[€vlHEA oro rfr],opa. b) noro poQddXErxo p€{[o.Udodq'[o!qwl(r|&I R;A,rdro a o[ob{ an6rc b moa; TXHMA 30-34 30-34 To peipo nor brcppder"dvcorippq.4Broxr€)tr€iverql orodrr€rQo(>1.30-35)d1er.cpopdrpogTc rdvo z,orouEdv€Lp€ orc0epdguopridildr a)No ppefrero ldiQor,io.Ln]vrfi€riouvoq rorrnrbrouI or undorqolr crTdTooUQ[odrovro prJ[o nouro bropQd€rrfvqlr. b) IIdo4porjd@,blcrepvdrq orevrjorr,cogdvl Lcopi6o;c)IIdo4eivqrI ohmi Qolirou dloreQvdxovPQdXo;d) Bpeirer1v uro'yripevrlHEA fiov BQdXo.e) Yr{otro1,io[€rtlv opr0- [lrrxri Ir[ri rIE €noyd[evlgHEA q.va = 0,100m,b = 0,300m, l, = 0,200m y,atdildt= 1,20Ns. 863 ,t B < / +1fid, -illA <_ b___) .rlt r l EXHMA 30-35 30-35 )e <ilcrq ol[sio pdoso€y,urfu,rrjneqLolrjpecu.wivcrlR ur[dQx€ropol€vdgpoyvrpxdnebioB pexor€teuvoqxdoEIIoro €rinEooro1l>1.30-36xor,nqogrc ;rdoc.(H n€Qtoxi0otoloQoioe vo€[vs[n broroli oroeooneprldevtigau].r,v6Q!xo{oollto€[6o1jE [s trsldl"oF]ixoq.)BQsfr€ro pdrpoi{orrlv,{cteri0uvolrqg6iva- II xxHMA 30-33
- 28. 864 KEOA AIO30 IIAEKTPOMATNHTIKH EIIATOfH ,T I cr- t---> b / R / 30-37 To garOrj,er0{yQoppooriQlrorotl)1. 30-38aOLcppde- ToLc:rdmoOepdpeipal. Mn peroll'LltriqtipOogpep{rogI xLvei- ror peoro0epiroxriqrcru,drtog0eiperTo opjpo,Toolgeioc a- rixer ordo[ool d ofidro ouQpq.a) Yfio]uoyim€qv eflo'|,dFrvl HEAm1 priB6o.b) Ilorooqpeio,ro c f ro b,dleruqqtrdrepo6u- vs[Drd; c)Av I Qd$Eogcwllcroo, cOe(ondoqOoyoivloougptin- vor .cioropeow[moo4R (>1.30-38b),ndooeivclTo enoldpevo p€dlqmor].0aoro; 4 v, t ] ., I +b (al EXHMA30_38 EXHMA 30-36 I lE! onoicaox€iToroeclivlro oerrzdor1[eLox6qopriog nou pQioli€rqroro o4p€aod,b i c fiov ro lqywFud :reOiooufiiveLge AU0[ddaldt.(Tool[€aod FQioxer(rto€qr<iotooqr:rdvo o:rdro rdwQoolEr€Oro1{_(,ro o4peiob oeordorcol r OelLdo:rriro ld- wQor,ior10ol[Elo corox,wQorIEn€QroXiE.) 30-36 Kurl"rrdgayc6lqoEdoznilLoEgeomfvo/o= 0,0500m neircroroeli:re6ory xcr Bpiorrrcrpeoaor nrgroXrjgt goyvlrr- ld re6ioB,<irou B = BoIt-3(tlto)t+ 2(tlto)31k. 801.!ort0Eivo.rmc0€Qdgper4rdgtu= 0,0100sl{orB0= 0,0800T. Yro0rmecirrl eivotr1c,rdorco4evdgrulcroL'orllfiou crlTdro xE'- vrprorou6orrutriou,I eivcto lprivognalI dvopolcbloio6rdvu- opcrm4vlcred0uvorl+2.>1q{4[€fq a ror b urripleLdvagrxpri revdnrov6cnriLLo(BL.tX. 30-37)I€ ouAlaronouoblyotv o€d- vc r,Eco,eqLitdzriitlrcDpq!€ ol'rimool R = 12,0Q.>IrlvrT€Qroxri rou e,Ecureprxoriituxl't6gcrog6evuntipXerpoyv1rlxdlT€6fo.a) Bpeireprc dxgpcrol1Lcrrlvoi.tzriloyvlrrxi Qoi O, nouJT€Qt- zieieto 6cxnilrto;ouvcpnioeLroulqdvou. b) Ynol,oYam€qv.€- ncqdt€vl HEAorov6crmi)'tor4 lpovLaforqprlI = 5,00x 10-'s. llotc rivct1rol.rxcirqrrirqg: c')EEcrtricrgq: eooregrxrjEorriorc- orlgrou6axru)'iou,ro p€ilc rou broQQdsrfllvR11lpovrx{onyp( rou biv€ro!oro (b)sfuor[dvo3,00rnA.BQ€ir€xlv €oex€Qriiq- vriorool rou6olnrl'fo!. d) Yfiol,oli;o1exqvHEAnouerdleror qrov6qxr{},lo<irqvI = 1,21x 10'?s.Iloro eivor,q rol,wdqrd qg; e)Yiro),o1iorerq lqovw( orLlprior4voroioollciler cpopdro ped- pcnouOloppderrovo1oyi. 30-38 )ol'rlvoer6dgpeprinog0,500m xm buipe,po0,0800m dx€r500oJT€fQ€q. 'Evo mlviopemrxvrjrepd)'rEl20on€rpdvorrd $ovopdvoofQpcrr€Qr$riLLerro oorLlvoer6dgoro pdoorou.To d- xproToumlviouei:vcrouv6€6sldva[€ dQyovopdrQqolEeopriou. H ol'rxi qvr(rrrqrrnrou xuxl'c6pctoEeivcL30,0Q. a) Bp€ir€ndoo gopriolepvd cn<irr1ouox€uidrcvro Q€fpcmo ocol,lvoetodge' l,crrorOeicrtirogaan63,00A o€1,00A. b) Kdv€ft dvot(Qd1sr- pooldbror1g6uftcl1Ecuni! 6nou0oeorvoworr(r0ogi(I eoQd rc'.woletpoivrouorol"1vo€rooiEror rouqvfou, ro06Eror I qoQd xor'O€i1c{rogfio oo},qvoer6dE.Aefiereoro o1d0uiocgrr1qopd rouperipcrogmorqvfod1(1!€l,qficiv€lql10pe{pccnooco}.1voer- 6ds. 30-39 'Eva origpo ttou yl,"rotQd€[. TotX. 30-39osixvEl dvcop0olcivlortroioropenld,oEa roLrivoouqpopepdlc n. To ouoqpcppioneror,oeopo'ysldE[clltrrxd m6ioB,rd0sromo E- rr"reOoror rloroiou peroroli0tlvo4lrQoErq pdoc.ITo orlppcr6i- !€xoroQxrrdroxurrFouoyn vafetttv{oelYro0do're<irLro ouppcr otrloOqiverororr)"oioroXopiErprpd(xordn 4 awiorooqrol rLor- ofouefvcropel'Irdcoeouyxprorlpsrl! owimool R xouorjQpo- roE. a) BQeir€prodrgpaoqylc ro pd,poF r4gOrjvopqEror,rc- oxeircloroorippodrovonldxrv€iror[€ roxrirqrou. b) Ae(ere drrq urdorcoqr lou 0ubrcvriorrro orjegouiorouvc o?{rvlTonor- l0ti bivrrcrclTorl oxdcr.1x = munRla:B'. 4 v T i--.--l t, | + l l , r -,F-''---n (b) ./ EXHMA30-37 D A EXHMA30-39
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