Apuntes de electricidad y magnetismo

173 Pages • 63,085 Words • PDF • 2 MB
Uploaded at 2021-09-24 13:25

This document was submitted by our user and they confirm that they have the consent to share it. Assuming that you are writer or own the copyright of this document, report to us by using this DMCA report button.


      ! " $#%  & ' (*),+-/.102+3.546+)8789;:=@?A=502-CB BD?AE;[email protected]?I+J.5)8K ?8L$46->46MI0N9 O,PQ 46)HK ?SRAT,T2T

V U W X Y Z\[ ] [^W [`_badc e $f gihAj1k/l>mFnokNq p k@rsj q hutShAgwv q jxy p m z {}|~{ €u‚„ƒ…€}†ˆ‡„‰‹ŠŒˆ†IŽ1%‡„†’‘1“…‡„‰ |”|•|–|•|–|–|•|–|•|–|–|–|–|–|•|–|•|–|–|•|–|•|”|–|•|–|–|•|–| — {1|…{}|~{ ˜“™‡o‚o‘›šœƒ…‚„1‚„ƒ/€}ž †Éœ€•‘›ƒ™‡o†ˆ‡º‰œŒ€1šµƒ™»1‡„†Ã‡o†¯Ÿˆšµ€}°I“™‡„*1‰Žˆ‡º%‡„‚J5ž †ˆƒ™‚„ Žˆ‡-ŒIƒ™Žˆ€}‰jiˆ‚„€1*€ŒI†C5†ˆ‡„šµ Žˆ‡ ‚„Œ1†’‘µƒ…‚„1š “™‚„1†’‘›ƒ™Žˆ1ŽõŽˆ‡ -Œˆƒ…Žˆ€D×Ҍˆ‡C‰›1“…‡%€D‡„†’‘›šµŸFl€}š•ŒI†DŽˆ‡l ‘›‡ošµ%ƒ™†1ŽˆD‰µŒIŸx‡ošœ‚oƒ™‡CŸF€}š–Œˆ†ˆƒ…Ž1Ž Žˆ‡•‘µƒ™‡„%ŸF€ˆ|˜†‡o“™‡„‚‘›šœ€}‰œ‘5ž ‘›ƒ…‚/*l ‡o“F-Œ>ɜ€C†I€C%ƒ™Žˆl ‡”†1Žˆ *5‘µ‡„šµƒ™1“ Šˆ‰œƒ™†‡o°1šœ»}€i ‰µ‡•ŸˆŒˆ‡oŽˆ‡ ƒ…C1»1ƒ™†1š ×uŒI‡¯‰µ‡¯%ƒ™Žˆ‡%‡„“ª-Œ>ɜ€Žˆ‡ÃŒI† -ŒIƒ™Žˆ€‡o“‡ož ‚o‘›šœƒ™‚o€ |]Á/®õ×Ҍˆ‡Ã‘µ‡„†ˆ‡oš³‚„Œˆƒ…Ž1Žˆ€Žˆ‡Ã†ˆ€“…“™‡Ñ15š•“™1†1“…€}»Åž  Žˆ‡„*1‰µƒ™1Žˆ€Ã“…ƒ…‘µ‡„š›5“™%‡„†’‘›‡5|”ª«€}†¬‡„‰Ø‘Ã‰›5“…Ñ}‡oŽ1mŽ iJŽI‡o†ˆƒ…*€1‰º‡„?“ -Œ>ɜ€¯Žˆ‡o“ ‚/1%ŸF€Ã‡„“‡„ž ‚o‘µšµƒ…‚„€¯C‘µš›/Ñw‡„ž ‰”Žˆ‡ Œˆ†¿‰µŒˆŸF‡„šØ‚„ƒ…‡ ڂ„€}%€ Ì ž sË J¶ÊÚ  ç{}|~Ê{  €}šµ*1“™%‡„†’‘µ‡ i1‡o‰ƒ™†’‘›‡ošµ‡o‰›1†’‘›‡‹‚o€}†ˆ‰µƒ…Žˆ‡„šµ1š‰µ€1“™€ -Œ@ɜ€}‰‡„“‡„ž ‚o‘µšµƒ…‚„€}‰º‘µš›/Ñw‡„ž ‰Žˆ‡‰œŒˆŸx‡ošœ‚oƒ™‡o‰;‚o‡„šœš›1Ž5‰„| €1‘µ‡„%€}‰‹“¾‰µƒ…»}Œˆƒ…‡„†’‘›‡$Ÿˆšœ€}Ÿˆƒ…‡„Ž1ŽŽˆ‡o“J‚/1%Ÿx€³‡o“‡ož ‚o‘›šœƒ™‚o€%ŽI‡–ŒI†%‚„1šµ»}¿ŸIŒˆ†’‘›Œ1Œ“   ¶_  9Ë  Ìͽ Ñ Ÿ1š› Ë  Ìͽ ç{}|¤9£  ˜w‰Ø‘Ÿˆšµ€}ŸIƒ™‡„Žˆ1Ž¬‰µ‡%Žˆ‡„ŒI‡„‰œ‘µš›Œˆ‰›5†ˆŽˆ€Á‡o“’‘›‡„€1šµ‡„* Žˆ‡*Ȗ1ŒI‰µ‰„|ª«€}%‡„†ˆò„1*€1‰º‚„€}†I‰µƒ™ŽI‡„š›5†ˆŽˆ€ž ‘›ƒ™‚o€}‰ s‡„“…‡„‚‘›šµ€1‰œ‘ >ž ‘›ƒ™‚o€}‰Zi–Ÿ1šµ§1°Išµ‡oÑuƒ™1š‡ñ| Ç€}*‡o*€1‰Œˆ†H‚/1šœ»’H‘›‡o‰œ‘µƒ™»}€ È ‡o†ìŸˆšµ‡o‰µ‡„†I‚„ƒ¾SŽI‡8Œˆ† ‚„1*ŸF€ ‡„“‡ož ‚o‘µšµƒ™‚o€  sË|w¹º‡–1‚oŒˆ‡„šœŽˆ€*¿“™‰µ‡o»}Œˆ†ˆŽ%“™‡®ÃŽˆ‡–‡‘›€}†D‰µ‡$‘›ƒ…‡„†ˆ‡ i*€¡Ñuƒ™%ƒ™‡o†Ò‘µ€†ˆ€¿šµ‡o“¾5‘µƒ…Ñuƒ™‰Ø‘‰ˆi Ü Ú‰Ú‰Å ! ËÅ  Ì È   7Ë  ˆµ ç{}|~Ê{  ª«€}*€bŸIšµ€}°ˆ“…‡„* Žˆ‡%‡„‚,1ž †ˆƒ…‚/õ‡o‰œ‘›€Ú‰œ‡šµ‡„ŽIŒˆ‚„‡¬8šœ‡„‰µ€1“…Ñ}‡ošÃ“¾ ‡„‚„Œˆ1‚„ƒ/€}ž †ì{}|~9{ i‚o€}†ô“¾5‰C‚„€1†ˆŽˆƒ™‚oƒ™€}†I‡„‰ ƒ™†ˆƒ…‚„ƒ¾5“™‡„‰w5Ÿˆšµ€}ŸIƒ¾1Ž5‰„ß| /9® iI‰œƒ™†%‡„°ˆ1šµ»}€ iA5“™»}Œˆ†I€}‰wšµ‡„‰œŒˆ“…‘›1Žˆ€}‰Žˆ‡»}š›1†*‰µƒ…*Ÿˆ“…ƒ™‚oƒ™Ž1Ž•®*‡o“™‡o»’1†ˆ‚oƒ¾ i’×Ҍˆ‡ ‰µ‡C‚oŒˆ%Ÿˆ“™‡o† °¡Éœ€‚„ƒ…‡„šØ‘1‰”‚„€1†ˆŽˆƒ™‚oƒ™€}†I‡„‰„|Øw† ‡oÂi‡o‚o‘›€ iN‰µƒw“™‡o‚„Œ1‚oƒ¡€}ž †Æ{}|~{C‰œ‡*ŒI“…‘›ƒ…Ÿˆ“™ƒ…‚/C‡o‰µ‚„1“¾1šœ*‡o†’‘›‡ Ÿx€}Yš Ú 7Ë  ÛÚ9!ˆiI®¯‰œ‡•ƒ…†Ò‘µ‡„»}šµ‡„†’‘›šœ‡ !Ì ! ¸ 5® !wÌ ! Å iˆ‰µ‡–€}°I‘µƒ™‡„†I‡ Ü Ú Ú9Ë !  ¶ Ú+Ú9Å ! ËÅ  Ú9!wÌ È   7Ë  g¶ Ú Ú‰Ë !  Ú9! Ñ ŸF€}š“™€‘›1†’‘›€ Ü  Å þ! Å  ³ Ü  Å "! ¸  Ì ç{}|¤9£  £ £ È   7Ë  g¶ÊÚ Ë  ­3$‡„‚oŒ1‚„ƒ/€}ž †!°!.C730'&Tì ‡ ì¿'!&Q f [Ñl\ˆ‡ ^4a zU !105&5 ²O37!·!./!.3405&$ìöJì(!&Q f [¿l\ J ^ 6 ƒ.„}&'M1V!¨730'&¨ì ‡ ì'!¨z³3.0' S. R¨S%&23¶0e105!·þ a z{105!7 !7Ts p + a ¼!zU ²O37!…õ .„ž'. 3gf ½!…!(0'!…S&(#. !z…j!(0‘Žf QQ-Sƒ&Vþ [Ñl4\ ^ 6 /·730'&'!³!¶0e&f ÂY7 &5-Ž. Sƒ0'!„.!2þ [¿l\¶‡ ^ ë þ [¿l\ J ^‹a S%&I.V05105TS%!z{I! & ²Z3!¨.  Sƒ 05!7„ . ! 'jS7&'S%&' . ! U. R&(M1 6™õ /s p + a !105! [¿l\¶‡ ^ +Âÿ l‚l s l [¿l\ J ^ +Âÿ p l s l º  zU . &'zU!105! a (27' 7!&5 z{³Y&'«!.2S7&'#.!z{•!.!405&'(0‘Ùf 05 «!˲Z3!js l + ë s p +ýs p x a ë YQõ !z{A!./z{'zU"f . ( 2 Z0'!&( & a ¼!z{"²Z3! [ p \¶‡ ^ +Âÿ l p s p [ p \ J ^ +Âÿ p‚p s p º &5}S7.„105!zU2!.¿S&'#7. !z{³zf M!!&'.Ñ!ž²Z3!$.„ IR &'M1(žs l !-!.¿730'& ‡ a õ /s p Y!Ž !./730'& UJ a !f (0'!·0'!7&Qf .„}'. 3gf  ë […\ ^ + ¿[ l\ ^ n [ p \ ^ Ö ! [Ñl\ ^ !³.„ž'. 3gf ½!.™S&(#. !z…  ‡ a ë [ p \  ^ !³. -(. 37gf ¾!. S7&'#.!z{UJ 6 ´¸&·.  0e105U!./S%0'!„.Ñ!Ž!./730'& ‡ (!&Qf N + ÿ ‚l l s l ° n ÿ lps p Ö []\¶‡ ^ + [Ñl4\¶‡ ^ n [ p \ˆ‡ ^ Ë z{!105&'²Z3!V!Ž!./730'&J(!&Qf N [ \ J ^ + [Ñl4\ J ^ n [ p \ J ^ +Ëÿ p l s l n°ÿ p‚p s p º ] yA!'3zU ! a 0'!!z{". }&'!. Rf j. !R . \ ²Z3!·S3!!·M!!&5. |&'(!”W f . zU!105! ^ N []\ˆ‡ ^ +rÿ l‚l s l nEÿ l p s p []\ J ^ +rÿ p l s l nEÿ p‚p s p %ÿ/ìí'!™. . z… ”O! ~  !Z0'!C!:Sƒ0'!„. 6 ´:37!! !zU(0'&5&('!:²Z3!™. /! ~ !105!>'V( zË!f 05&(  \ ÿ p l +Ëÿ l p^ q  ë 3{R(}SQ&¶05 3.„ &¦!o. ·&(!.„ gf …10'!&'& a ²Z3!HS&'!'!105}M&5{ 105!&O!f IS&f 0' 7N !.¸7!'6 & 6oõ !V05&' 0e!V3•( (0'!z{UWX&(z… {S%&"H730'&'! a R&(M1A•R &'M1on”s ë Š s a &'!'S%!405¼ zU!10'! 6 PA57Ð.„ U&(!. !!Z0'&'!-R&(M1 ë Sƒ 05!7„ . !T(!•!3!105&5¾²O37!Ž. ½ÌWX!&(!„°!105&(!•. Sƒ0'!„.!!$.730'&'!H!

š7œZœ?;>=”“%=·;>DˆGA=oG

’’  [ + []\ J ^>Š []\ˆ‡ ^ + \ ÿ l‚l n°ÿ p‚p:Š 4J ÿ l p‹^ sµ

!Á0'&5·SQ. #&' a .„Eì &'M7ìs-!Ð!. !57&³!³S&(Sƒ&'Q.:-.„žWX!&'! -!{Sƒ 05!7„ . !105&(!V.730'&'! a s·+   [ a 7! è+ ÿ n°ÿ p‚‡ p Š J‹ÿ p l‚l l !A.„}R SQQž!.¸!5 & 6

  

"!$#%&

²Z3!E'!°0' !7!tjS. Rj3705&5žS. Q a z}3 ë M&5 !ž²Z3!E'!E!3!105&5  õR3&(S%M1QM1¨zUj °R &'M1H0505. !$n”s ë Š s a '!SQ&5 Q¨S%&”3Q]7 (05„] \ . … ¶0e7„…-!¨z}3eY z…oSƒ!²O37!(Q' ]²Z3!T.„ ” zU!7' !H!T.„…S7.„ ^ 6 ¨&'M1 ”Sƒ'0'¼  ë !M1 0'¼ o7!T.„”S7.„ '!ž 0'&5!Á!105&(!]h f a ²Z3! ~ Q . zU!105!{!S%'Ì0e³!Â.„VR&'³Z0'!&( &(!³7!].„VS.„ RV !( Q !A3ÌWX&'zU! °ë Š  \ !¼O 7!105!z{!Z0'! a !f ¶0e!"Qf .3QT'.3Rf -S&(g͍z… ^4a  +ts m*)³Ö !Á²Z3! ) !V!. &'!Ž!{.„·S.„ R 6 Ï z{Ž&'!(3.05Ž!…!(05 a !.™RzUS%Ž(!&Q•f S&'R͍ z{Q z{!Z0'! 3WX&'zU! a Ž!.Ѽ . & Ø +  mw'x º , ¸ÌWX!&'! }!$Sƒ 05!7„ .Ñ!105&(!V. S. R!$N  [ +  mw'x + \ s  ^ m\†w'x+) ^ º ´C&". T05105 a . TRSQ  ž!./!57&HS7.„T! k + w(x+)¨m  º ¸E3Q-,/. õ Œ !žz{! gf Ë!ž. ESQ Q r!{!.¨ìíW† &5Ñì \ #&(!¼O„70 ^ 621 !'7!-!."S3105 !«¼O (05ÐS&'0'  a ‡ 0À!j3Á3  #Q¶0e10'!«M&5 !µ¨S%&{!ˆÎ(!zUS. a 3Â!3!105&5²Z3!°. 7!'&(!ozU!&'„.!I0' !!-RSQ!A7!./&(!-!$. ¨ìízU &(43 W† &5Ñì \65 0-+ ‡ (7(8 0 ^ º 0e«N”. ]'.3Rf «!‹Í 0ež!.Ç7!'&$S. j!·37½S7&'#.!z{…z{ 05!z  f 0' z{!105!³7 ~  . a !#é{.¨ìí!WX!405A!$#%&'! ì 6 area A V0

d

b a

L> M3&5J 6 u N Ï 7!'&AS.  a 7!·. "i aQcga f &(!R ) +Ài c ë (!SQ&'Rf Ž 6

;>=”“•@D –o—C9™˜›š7œb;˜"HGž—I;A–I˜BA8 Ÿ

’u

  9

":?= A@BC

 ¶0‘f WX&'z{TS%&"!(WX!&'"7%!f 10'&'  \ &5  "i ë c4^ (-Q) b

c

a Q

L> M37&5jJ 6ED N Ï !5 &¨!¶Wg!f &(  a WX&'z{{Sƒ&””3705&'!$%!f 105&' a !}&' ”i ë cga i €$€ c 6 ·. V'z{!405&h f ¨!.%S&(#. !z… a .„™R&(M1 '!o7 (0'&'#3 ë !…37WX&(z{!z{!Z0'!H]!'Q!I²Z3! '!·S1 3!7!•7!05!&'zU Q &IW f . zU!105!o357 a Sƒ&!ˆÎ(!zUS.T!.Ñ05!&'!z…T!GF$3( 6  ./&'!(3.05!  \ i ^ + Š H m\†u vw'x i p p ^  \ c4^ + H m \†u vw'x c ^  + uv/w'x i c m7\ cIŠ i ^ º

  JI

CK@CL= MNL>=”“•@D –o—C9™˜›š7œb;˜"HGž—I;A–I˜BA8 Ÿ

_ k

`ba Cd c egf hi j

hlnm\eopirqe ` c g e stm `

lZu

v

lnw sirq

x

slZh lnc \ m eoystmzirq

PÐ { z}|4~€‚€ƒ„|†…t‡ˆƒ‰‚4… ‚f Š*~€€ƒ‰Š‚‹Œƒ„‡ˆ‚|†…t{ˆ‹~+ƒ‰‚{ˆŠŽ|4' M|†‘…‰ƒ„’ˆ“‚‘‚{$€”ƒ‰{~+‚“ƒ„‹•*–˜—>|4GŠ‚|†' M|4™*{”ˆ¾ { zš|›~+‚“ƒœ|†… ˆ‡ ƒ„*…4‚f Š~+“ƒ„Š‚‹™3%|†ƒ‰€…œ|4‡ˆ‹•3“‚{ˆŠ*”ˆ‚{~+€|†{…„ƒ M•|†‡P|† a ë {ˆ‹}Sˆ”
Apuntes de electricidad y magnetismo

Related documents

173 Pages • 63,085 Words • PDF • 2 MB

266 Pages • 55,937 Words • PDF • 12.6 MB

60 Pages • 7,197 Words • PDF • 3.2 MB

9 Pages • 3,004 Words • PDF • 505.7 KB

9 Pages • 1,488 Words • PDF • 271 KB

1 Pages • 30 Words • PDF • 107.4 KB

125 Pages • PDF • 43.5 MB

14 Pages • 3,018 Words • PDF • 56.6 KB

3 Pages • 735 Words • PDF • 61 KB

107 Pages • 26,524 Words • PDF • 2.3 MB

17 Pages • 3,003 Words • PDF • 864.9 KB