Electromagnetics: Electric Field and Electric Potential

Electromagnetics

1. Electromagnetics

Calewdate E が 94/p が ea Ge space,
1. Cowlomb! sland 2- Gas law

AS es shang

、 Lak 、 a
Dot - Sonic ct
f ¡CEE
STE in 5

ゃ のど

2. Electromagnetics

vila, volus problems
N od 4 Tmages :

99 In

3. Electromagnetics
Eluchnc potential

4. Electromagnetics

woh
Tea

ui

5. c Electromagnetics

Euchie Field &paumk Aun to pond 小

2

od ori
Vag 以
vB
= 9 从
40 ST 0

6. Electromagnetics

. MELAE
N =, &.. {te 2%
| au ATS * “7
= 거소 오노
ANZ. TB RS YA

VAS Vp — Va |
Supbosr pout À ゅ at 00, Ya 00
Va =D

w
て

= Vas = Ve |

7. Electromagnetics
+ a Vas
トリ 2

8. Electromagnetics
B v
y ° aa bare

À

wy

a
ER cu
¿2 4 か る と 5
À D see 。
3 7 ツ I ー ニニ ーーー"
レー ウー oe の

ぬ ォ ー =D

9. Electromagnetics

Ad _ ge poros gt ess, 4 の

AN & | マヤ!
A 一 一 ~
vr) ㆍ 8z ~

ma RA) rn リマ ー や
Eve polertial duch 6, _
dus jo 0,

10. Electromagnetics
& Two poud chahga —4pc and Spc a located

(2,1,3) and Lo, 4,-2) Potent ak ar papel
Coleukale elachne potential at (1,0, 1):

rn ー Ku) Ye 2 dae
Re ay = 202

Spe
AR
T= の 느 2

Y 0, 01) = Sn 3 CC v
Ant (1-0) -ti\ me 197)

11. Electromagnetics

Ralodimskkb biwen e amd V

6
We = $24
==
fe

Va6 = -VBA 3

u A
\ Ed テウ À

|

12. Electromagnetics

Ed = 0 | 2).ds | Stoke's new
S
=
NE = a
a E y ゅ 2oz ボ owal or centowalwe
と cegYo ボ と jad Y temsew ahve im vokue:
— Mox ws second eguahion

13. Electromagnetics

Maxwell's 4S quahon (Gauss law dy Euchoskulhe)
VD = Sy ¿O 中 = Bon

Maxwell's bnA epi ov fune = [ss av
Y

14. Electromagnetics

W = 28-125 PT \

15. Electromagnetics

>
=> Vas de. à = ッ

16. Electromagnetics
Eloctho steak c a fa, EEE ny in Br

Potential energy. dun to Hose changes
= Work done 밖 external Louncı
8, & briny alk changes Kom.
Os D> Hu quer Pound
work done ko postion 4, =D
words don や position 92. =

17. Electromagnetics

Wee OF ov +0 (REX Fe) MN 6)

가 we aw の 46 Hu order;

We = era + (Va + V5)
一 (ii)

2 We = 61 (Ns TV 세터 [Vi + V2,3) + (Vay +

RTE Va tn = Y

Ve,t + Vz3 + --Van = Vi

18. Electromagnetics

2We = SIV + 6292 + Aa Vs

> NE = LL (Q, v, +62 va +02V3)
Tn A, ㅠㅠ
We = LS Am
m=) poi

Whee, n is total wo dh Drage

19. Electromagnetics

Cow wu Charge Au bubian: Q = [rd
NW
[ee = byw の"
We = 는 $, V de \

っ
4 ing Maxweu's 15 aprobron VD- 9%

We = [(y.B)V dv 一 ti) 一

、 、 Y
Necker di (RR + v (TAD |

20. Electromagnetics

21. Electromagnetics
Ne = LC: vv) @ .

y _ 7 o
|e = — VV e

z | 73 u

We Um e . E ) Aw | ' |

Mes tz Jem |
cues Ae We
Aus や

22. Electromagnetics

Elocko stakic DE ーー
= eo Se > ss ES] (3/m2)
We = [ve du \

Cree 66009

23. @

Electromagnetics
a Thue point Changes -Ine, 4nc, nd 3nc an Nocakd at
Lo, 0,0) / 60012 amd. (1, 0,0) - (以 cake.

Ly m Hu Wew '

Wee Lau + Srv x 4927 OE
L
z & a, | 8
Ne A Gi
ama 도 = Q

A Li

\ = & + 83s — ~
나 서가 ge
NE er 9

a
itn att GR アン

24. Electromagnetic

A

25. Electromagnetics

Boundary condibims >
i elschic - Didacme inderjpen
6 Ps) (Se)
Ci) Cendudot 一 いも りつ リリ ン
ei Conducdos - Fara Space
(és=)
f I D= & oc [3D = 8 one
ge à =0 or VXE =D

w Ww

26. Electromagnetics

1. a - Didachic ÓN oi

= Be Er + Elm
pes Bs En + Em
e I ot chen
x Pipply Mage 27° RE
ae, fe. ==
baac

A ab ans

I 80. + -Sm 由 ー ジ 人
の gu
내 @

- Fit XOW + Eom, ih =
10 comporard- =0

see zo
=31 “te tomas à Ejy AW - Esp OW
^ Kome En = Ex

27. Electromagnetics

28. Electromagnetics

29. Electromagnetics

> Dyne5 - Din 4s = Ss as

Shoe nid’
9s S ar te eee

> Din- Dn= $s

I

dw Um
Y unkokacn Us change wur 85 =0

30. Electromagnetics

Den = Dan
A Ein = “a Ein
Fe = Em

z
Le 一 一

auetic - Diguchic idoles

31. €, Br Lot

Divi diay (O7)
Tom O1. = Tomb

A te
à Tot

Electromagnetics

(CD Exe = Eot

E, Sino, = Ea sim

② Din = Don

D=-ZE
D>E

25

ーーQ

Dy, cad, = D, 62 49
드디 (80, = E, E882

32. y \ Electromagnetics

z q ccc inlorfpes *, FETE

BO = Rack

7

33. Electromagnetics

34. Electromagnetics

3) conduatos - Prue space boumdany
Fase spaces a di ehcp re
medium (er =1)

tz Der

35. Electromagnetics
Poisson's equcttor and Lobo 24,
[Boundong value poobloms |

N A)=
ET cs
Y- や = fy .
V: (eB) = & — 0
= -yv 一 69
V = fy
Y. EY ) V su 오구 Hr)
“ me din Po sols ag eh on:

36. Electromagnetics

Ear ea pe) een fuze
IY*= ol e ol UR
Tis 9 cmd
Lapiecs's Lui ov

= ew ool BEE

\ y YY Yv - N

ジグ に ae a 27 Na
\

37. Electromagnetics
Res tampa amd Cabackatcı coludadior

¿estopa to old< Rexistemes dy amy wales ol
— 一 sale. coovdimale Syston

(iy Goo pet 00
Ga) 66906 Va as potential ditty “Ly ol
Wakea Lonductos materiat Ra Vo
い Sowe \ vw =
\) o ren pa SoWwe V 3:
2= -Ww Œ\

38. Electromagnetics
E unseren:

し Unoose abbachriate coordinate Ayatem %
& Fre > Gauss Wo

=+ (@-a Une 0

y
al = に |
NV

39. Electromagnetics

Padel, plate cabacibon ee :

fs = 有 a
ーー E- 8 An

S E

Ep =
$5 ax) + is (- &)

a 3 m LA

E = = Gila
= 5 (- a) ae ES 2)

40. Electromagnetics

41. Electromagnetics
We = 8 v) と =

[Res と の \ com
2

im paral plate
Energy ser en hr

42. Electromagnetics

Gaal a ie

43. Electromagnetics

Magneto statics :
sonany change (m) distsibution 4 Stationary change =>
A Stan chee Cel) ia Lo ge

field
tf Changs e Loft im moken With com tant veloaty ,
Aumont mb wül be produced (Pe overt) ，
> mayrensinhic
cour

44. Electromagnetics

Thou om two basic laws : | Elachns phg
Ci) Biob- Sowant ln : le Guns lar
(ii) Ampues cc low : Gi) Mauss Row:

H = Ar) E = ta) 1)
Eleckvos tatics Moænahstalies
Rw ( ( 670)
"(04631 pea OO |

2 [weber /m er) Tesla)
) ( AM nehic yx demsty)

45. Electromagnetics
Biot Sovant law: ば
ーー アー eo _ Magnehe Heldin
a 3 a dur
て re Po xi) gta

A 3
=. Gi)
E a 7 wi Su
puso HA TU x ay ire pe

as x” 07 Dc unt
VAR= Tax _ tax?

¿NE amy

46. Electromagnetics

pvohw I} Magnehe field
Com be ei mated log ，
“Right hand Thuwbvule

47. Electromagnetics

48. Any

Se | AR ャ を
one R- | 1. ×%

IN er

Electromagnetics

Powk chaye

gp

Vo で が

aa dona) (nn

49. Electromagnetics
Maqralic fas due to sw curser eu conduc A
2 Vib = arly + Fahy + eds

di = 4202
an -Zd,

50. Electromagnetics
Maggie fas due to sw curser eu conduc A
L Wai - = ay + 了 ud bp 十 4202

dl = 4202

000 Zi, HE

51. Electromagnetics

ak E dz az

A
25% - zaz

Ar LE ,, 앤

に 3

e

A
Lu
92

9

か

)

cy

52. nes

rp dz ap
EX

Z= 了 cora

dz = -了 ceec < de
‚frz? =

f + fF cot
Ÿ El reta)

$ caer