cálculo de campos magnéticos

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    GEQEAN EEAN\EVPMD Z

    Z ANMAPMD F@ ANC\DQ CNKI@VEADQ

    Z)> # M`y f` Oedt Qnvnrt

    Jnstn nqu s` jn nodrfnfd `m `stufed f`m `g`atd qu` prdfua` ui ancpd cnkitead prdfua`

    sdor` uin anrkn `matrean `i cdvece`itd d sdor` ui adifuatdr adi adrre`it`- uin gu`rzn

    cnkitean)

    Njdrn `s i`a`snred `ianrnr `m amaumd ninmtead f`m ancpd cnkitead prdfuaefd pdradifuatdr`s adi adrre`it`)

    Pi jemd adifuatdr adi adrre`it` `matrean prdfua` ancpd cnkitead f`oefd n qu` feajn

    adrre`it` adistetuy` ui cdvece`itd drf`infd f` anrkns `matreans)@xp`rec`itnmc`it` s` pu`f` adcprdonr mn pr`s`iaen f`m ancpd cnkitead- c`fermd y ns

    adida`r su cfumd- fer`aaei y s`itefd `i aunmque`r puitd a`ranid n adifuatdr`s adi

    adrre`it` f` aunmque`r gdrcn)

    @m ansd f` ui adifuatdr r`atemi`d cuy mnrkd- tnm qu` pu`f` adisef`rnrs` adcd eigeietd-

    r`sumtn f` krni eit`rs adia`ptunm)\nrn `st` ansd `m ancpd cnkitead f`t`atnfd `s se`cpr` p`rp`ifeaumnr n aunmque`r pmnid

    qu` adit`ikn nm jemd adifuatdr- s`ki s` eifean `i mn gekurn- f`p`ife`ifd `m s`itefd f`m

    ancpd f`m s`itefd f` mn adrre`it` `matrean `i feajd adifuatdr)

    Gekurn >)>

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    ?

    @stns f`t`rceinaedi`s pu`f`i r`nmeznrs` pdr `b`cpmd admdanifd `i `m puitd fdif` s` f`s`n

    c`fer `m ancpd cnkitead ui jnz f` anrkns `matreans *ui p`qu`d tuod f` rnyds

    antfeads%- dos`rvnifd su f`svenaei- qu` eifean `m s`itefd f` su na`m`rnaei- y t`ie`ifd

    `i au`itn qu` mn gu`rzn qu` mn f`svn te`i` mn cescn fer`aaei y s`itefd qu` mn na`m`rnaeiqu` r`aeo`) Mu`kd- adidae`ifd mn fer`aaei y s`itefd f` mn gu`rzn y n pnrter f` mn `xpr`sei

    Gc 3 q)v x O- `s pdseom` f`fuaer `m s`itefd f`m ancpd cnkitead `i `m puitd adisef`rnfd)Q` nrreon n mn adiamusei f` qu` mds v`atdr`s ancpd cnkitead qu` rdf`ni nm jemd adifuatdr

    r`atemi`d adi adrre`it` cuy mnrkd *eigeietd% s` uoeani f` cdfd tnik`it` n tdfn

    aerauig`r`iaen adiaitrean nm jemd adifuatdr)

    Gekurn ?)>

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    0

    M`y f` Oedt#Qnvnrt

    Cnpn Adia`ptunm >)>

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    7

    Gekurn 7)>$?3 *r?)*ads? ( s`i?% ( *z z% ?%>$?

    r r3 *r? ( *z z% ?%>$?

    fm x *r r% 3 fz h x *r)ads e ( r)s`i b ( *z z% h%

    fm x *r r% 3 fz*r)ads b ( r)s`i *#e%%

    fm x *r r% 3 *#s`i e ( ads`i b%)r)fz

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    ;

    Gekurn ;)>$? 3 >

    _`sumtnfd qu` adeiaef` adi mds vnmdr`s f` cfumd- fer`aaei y s`itefd jnmmnfds`xp`rec`itnmc`it`)

    Z)1 # Ancpd Cnkitead f` uin @spern Adifuatdrn Aeraumnr adi Adrre`it`

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    :

    Dtrd ansd eit`r`snit` `s `m f` mn `spern adifuatdrn aeraumnr adi adrre`it`- `m aunm s` r`su`mv`

    pnrn `m `b` p`rp`ifeaumnr n mn cescn qu` pnsn pdr su a`itrd- pdr su cnydr secpmeaefnf)

    \nrn uin `spern adifuatdrn aeraumnr adi adrre`it` E y f` rnfed n- s` jnmmn `m ancpdcnkitead `i tdfd puitd f`m `b` qu` pnsn pdr su a`itrd- `i `st` ansd `m `b` z- s`ki mn

    Gekurn :)>$?

    3 *z?

    ( n?

    )*ads?

    ( s`i?

    %>$?

    r r3 *z? ( n?%>$?

    fm x *r r% 3 n)f *#s`i e ( ads b% x *z h # n)ads e # n)s`i b%

    fm x *r r% 3 n)f *#z)s`i b ( n)s`i?h (z)ads e ( n)ads

    ?h%

    fm x *r r% 3 n)f *#z)s`i b ( z)ads e ( n *s`i? ( n)ads

    ?% h%

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  • 7/30/2019 Clculo de campos magnticos

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    >>

    ^u` eifean qu` mn eit`krnm `i uin aurvn a`rrnfn aunmque`rn f`m prdfuatd `sanmnr f`m v`atdr

    ancpd cnkitead y `m feg`r`iaenm f` mdiketuf f` feajn aurvn- `s ekunm n mn p`rc`noemefnf

    f`m vnad cumtepmeanfn pdr mn sucntdren f` mns adrre`it`s `matreans qu` ntrnve`sni mn

    sup`rgeae` suot`ifefn pdr mn aurvn a`rrnfn `i `m eit`redr f` mn cescn)Mn sup`rgeae` suot`ifefn `s aunmque`rn qu` s` npdy` `i mn aurvn- id smd mn pmnin pdseom`- `s

    f`aer- qu` jny eigeietns sup`rgeae`s suot`ifefns)Mn eit`krnm s` f`o` r`nmeznr nsuce`ifd ui s`itefd f` r`adrrefd f` mn aurvn tnm qu` npmeanifd

    mn r`kmn f`m ternouzi n `st` s`itefd f` kerd mns adrre`it`s `matreans eit`redr`s n mn aurvn qu`

    t`ikni `s` s`itefd s` adisef`rni adi sekid pdsetevd y mns aditrnrens i`kntevd)

    @stn m`y pr`s`itn eit`r`snit`s s`c`bnizns adi mn M`y f` Knuss f` mn @m`atrdsttean2Nm eit`krnr `m ancpd `matread `i uin sup`rgeae` d nm ancpd cnkitead `i uin aurvn s`

    dote`i` r`sumtnfds eif`p`ife`it`s f` mn gdrcn f` mn sup`rgeae` d f` mn aurvn- `i ui ansd `m

    gmubd f`m ancpd `matread f`p`if` f` mn sucn f` mns anrkns `ia`rrnfns pdr mn sup`rgeae` y `i

    `m dtrd mn eit`krnm aurvemi`n f`m ancpd cnkitead f`p`if` f` mn sucn f` mns adrre`it`s`matreans pr`s`it`s `i `m eit`redr f` mn aurvn f` eit`krnaei)

    Q` tdcnr adcd f`cdstrnaei f` mn M`y f` Ncp`r` `m ansd s`iaemmd f` ui adifuatdr

    r`atemi`d eigeietd) Adive`i` tdcnr adcd aurvn f` eit`krnaei uin aerauig`r`iaen

    adiaitrean- mn aunm adeiaef` adi uin mi`n f` ancpd cnkitead auyd s`itefd s` jna`adeiaefer adi `m s`itefd f` r`adrrefd f` feajn aurvn f` eit`krnaei)

    Gekurn >>)>?

    O fm 3 d)E

    O)?)r 3 d)E

    O 3 d)E $ ?)r

    ^u` adeiaef` adi `m r`sumtnfd `xp`rec`itnm y `m jnmmnfd c`fenit` mn M`y f` Oedt # Qnvnrt)

    Q` tdcn nqu n stn adcd sugeae`it` f`cdstrnaei f` mn M`y f` Ncp`r`)

    Z)0 # Ancpd cnkitead f` ui Qdm`idef`

    @i prec`r muknr r`adrf`cds mn gdrcn f` mns mi`ns f` ancpd cnkitead f` ui sdm`idef`-

    cdstrnfns `i mn Gekurn >?)>?)>1)>1)>

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    >1

    @s ui adrt` f`m sdm`idef` `i `m aunm mn adrre`it` `itrn nm pmnid f`m pnp`m nrreon *x% y snm` f`pmnid f` pnp`m f`onbd *)%- y `m feoubd adrr`spdif` n c`fens `sperns)

    @m s`itefd f` eit`krnaei `s jdrnred `i adis`au`iaen mns adrre`it`s qu` ntrnve`sni mn

    sup`rgeae` suot`ifefn pdr mn aurvn `i s`itefd `itrnit` nm pmnid f`m pnp`m s` tdcnri adisekid pdsetevd)

    @i `m trncd >#? f` mn aurvn mn eit`krnm `s iumn pdrqu` `m ancpd cnkitead- cuajd c`idr nm

    f`m eit`redr f` sdm`idef`- s` adisef`rn iumd)

    @i mds trncds ?#1 y 6#> mn eit`krnm `s iumn pdrqu` O `s p`rp`ifeaumnr n mn aurvn)Mu`kd- s` npmean mn `xpr`sei sekue`it` smd nm trncd 1#62

    O)fm 3 d ) Ee

    O)fm 3 O)fm

    Ee 3 I)E *I2 ic`rd f` sperns `i `m eit`redr f` mn aurvn f` eit`krnaei%

    O)fm 3 d) I)E

    O s` adisef`rn adistnit`- `i adis`au`iaen2

    O fm 3 d) I)E

    O m 3 d) I)E

    O 3 d)*I$m%)E

    Mn mdiketuf m f`m trncd 1#6 f` mn aurvn f` eit`krnaei s` `xte`if` pnrn nonranr `xnatnc`it`

    `m ic`rd I f` `sperns auyn adrre`it` ntrnve`sn `m r`n suot`ifefn- pdr md aunm `m adae`it`

    I$m `s `m ic`rd f` `sperns pdr uiefnf f` mdiketuf f`m sdm`idef`)

    @m ancpd cnkitead f`m sdm`idef` `s prdpdraedinm n mn adrre`it` `matrean f`m cescd- E- y n

    su ic`rd f` `sperns pdr uiefnf f` mdiketuf- I$m)

    Idtnr qu` mns mi`ns f` ancpd cnkitead f` ui sdm`idef` sdi ekunm`s n mns f` ui eci

    aemifread- adcpnrnifd mn Gekurn >?)>< adi mn >6)>

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    >6

    Gekurn >6)>0)>0)>7)>;)>< pnrn

    jnmmnr `m ancpd cnkitead f` ui tdrdef`) Mn Gekurn >;)>< `s ui adrt` f`m tdrdef` `i `m qu`mns arua`s r`pr`s`itni adrre`it` `itrnit` nm pmnid f` mn jdbn y mds puitds adrre`it` snme`it` nm

    cescd- veifds` `i `m feoubd c`fens `sperns)

    @s ui adrt` f`m tdrdef` `i `m aunm mn adrre`it` `itrn nm pmnid f`m pnp`m `i mn sup`rgeae`

    `xt`redr f`m tdrdef` *x% y snm` f` pmnid f` pnp`m `i mn sup`rgeae` eit`redr f`m tdrdef` *)%

    @m s`itefd f` eit`krnaei `s nitejdrnred `i adis`au`iaen mns adrre`it`s qu` ntrnve`sni mn

    sup`rgeae` suot`ifefn pdr mn aurvn `i s`itefd snme`it` nm pmnid f`m pnp`m s` tdcni adi sekid

    pdsetevd)

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    >0

    Gekurn >;)>