Tarea 2 Electromagnetismo I - II2021Sol UCR

 

CY-671:? Blbitrhnagkbt`snh @ @@-4641 13 mb sbt`bndrb mb 4641 Cbija mb bktrbga? 49 mb sbt`bndrb mb 4641

Vrhdlbna 1 (12pts) Rt`l` ib bl n½bthmh Rt`l`ib bthmh mb `n½agbkbs agbkbs para bkihktrar la iapai`taki`a phr uk`mam mb lhkg`tum (sal`bkmh mb la p½aag`ka) g`ka) mbl s`stbna plakh i`l½ i`l½ıkmrh bk la figura 1. Ambn½aass ialiulb la cubrza qub bobrib bl plakh shdrb bl i` i`l½ l½ııkmr k mrh. h.

C`gura 1

1

 

Vrhdlbna 4 (46pts) Bkiubktrb bl phtbki`al bk bl `ktbr`hr mb la crakoa sbn`-`kfik`ta qub sb nubstra bk la figura 4.

C`gura 4

4

 

Vrhdlbna 9 (12pts) Rk ihkmuithr atbrr`zamh ihks`stb bk uka jhoa ud`iama bk bl plakh   z   > 6 ihk uka prhtudb prhtudbrak raki`a i`a 4 jbn`sc½ jbn`s c½ br`ia br`ia ihnh sb nubstra nubstra bk la figura 9. Rka iarga puk puktual tual sb ihlhia bk (x6 , y6 , z6 ) tal qub   x6  + 4 4 4 y6  + z6   >  d , mhkmb  d ; a, mhkmb  a  bs bl ram`h mb la prhtudbraki`a. Bkiubktrb bl phtbki`al bk la rbg`½h hk k shdrb bl plakh (x,y ;  6) y la mbks`mam mb iarga supbrfii`al   ω. Vubmb ut`l`zar ut`l` zar bl ½bthmh bthmh mb `n½agbkbs agbkbs y mboar su rbsultamh bk t½ brn`khs brn`khs mb la suna mb lhs p phtbki`albs. htbki`albs.

C`gura 9

9

 

Vrhdlbna = (46pts) Bl ianph mb uk plakh `kfik`th qub sb nakt`bkb a uk phtbki`al Σ 6   bs   B6 . Nubstrb qub bl phtbki`al bl½bbitr`ih itr`ih bk uk pukth ard`tra ard`trar`h r`h   V  bk bl bspai`h bs? Σ(r) > Σ6 ∔  B 6 ·  r

 

(1)

Ajhra suphkga qub bl ihkmu ihkmuithr ithr t`bkb uka prhtu prhtudbraki dbraki`a `a bsc bsc½½br`ia br`ia ihnh sb nubstra nubstra bk la figura 9. Nubstrb qub Σ(r) > Σ6 ∔ (1  ∔  (1 ∔  ∔

  a9 )B6 ·  r r9

 

y hdtbkga bl ianph bl½bitr`ih bitr`ih bk pukths bxtbr`hrbs y ibriakhs a la supbrfii`b bsc½ br`ia. br`ia.

=

(4)

 

Vrhdlbna 2 (46pts) La mbks`mam mb iarga supbrfii`al bk uka bscbra bs + ω6  bk su jbn`scbr`h khrtb y y   ∔ω6  bk su jbn`scbr`h sur. Ialiulb bl nhnbkth m`phlar mb m`ija bscbra.

2