Electricity and Magnetism, Lecture notes of Physics

A series of equations and concepts related to electricity and magnetism, including electric charge, electric fields, electric potential, resistance, circuits, and electromagnetic waves. The document also covers topics such as electric current conservation, Ohm's law, and Kirchhoff's laws. The equations and concepts presented in the document are fundamental to the study of physics and electrical engineering.

Typology: Lecture notes

2022/2023

Available from 07/28/2023

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· 5. Elec+irici+y ond m0-~ ne+i6m

5i Electric ~-1dJs

E le.crnc cha~.

-s'1rnbo\ ,_ Q unit: C (courom 'b)

1)-r,0~1nve. i ne.S\a.twe. (\i<.es tt~e..\ Jo,?O~'\e..'.:> o.t\ro.c+')

. (pro\ons") (ele.i \wns")

1) ·, s co.nse.rved. =1 co.N'to- l:,e c..re.o,.,kc,l or Je.~®'-fed..

3)1'> ':i')Of\i1,eol --::'yame'> ,n J;scte--\e "'d.a.•~t''' e =e\emeomr'( cn1e

e..ledmn = -e Dmton = +e

-= -1Gxl0 1 ~C.. (coulot'l\b) 1 = t1 Cox10Jc.. Ex.

1oto.l c\rio.1{- = +~e.- 2e -.le.."' 3.l x

1 ~C. Cou\ornb'~ Lo..w

· s-z.e o~ +he. electric

c00\ombl ( ~S. '3~J1IO") cof'l':i'°-1"1 l ~,ie o~ cho.ries ,--------t----=.:....../--, F== K I 2 rl J;::,tcmce be-we.en ~ 1 ' a"J ':\t r= 1rn ( f= -z -1".) -

f-::: '3:Y:lxlOeix. 1Gl(IO x}\b,clO -::. 5xlO,.gtJ

  • 2iorne.:hmes

Ex

I .,- .- ---- viF=J__ ~,5-1-, : i,1Tf 0 (1. I l....---- ___ _j F-=- ~)( i.i5xl 1 iJ

E\e.c-\nc tie.\J eledric. per,ni#iviJy

& wcuum

( iasx l6'i) F,e\J. = ever,/ f01f1l ,n 5face has o... 'IJu.m~e.r (or ve.<e'kl r) E. d. ''1 r r'll-pero:tuve.. ,\ d J 11
,I( (^31) .1(}1,1 , f (^) i., X. '
~a. \o.r e\c;l e\e.cJric. ~e\J. 5'rte,~th r ' " E

ne -.

t F I^ l:..

Q ) •J' I =^ kQ3;

ri. =kQ

., °^

r1. 1 - I'

oQ. ~lec,tr\ci±-y_ ~o E-t1eld (^) wi+h E-Ael&

<. E

0 0-0li )

  • random _rnovetnef_ l

5

m/~

' I '

  • f 6)-neJ&rn - roovemmt t ele:b trnn~ are sl<'--ult

Jn-tnn

,~·1~:>t u the ~elJ l)Jiliftrtveloc,~y Vn rnrrf:>

EK

= c.orrtn't ;amoont ot charae Fine; o. paint- eac.h seconc:L 1t.---+--C.l't)SS Secoonct \ tl'"'-'4. I=1A -i>

c~~e. per c.~e co.rrie.r

~rit+ speed ·. I=- ~Q / le.t Dt·=h bt'

I=AQ (inside c-,1.)
  • ~hwae cnrt. V x ChQ~C'. V ch.atrrie~
:tt: e}ectrons = 101.~ 1Y(^1

vol. o{ri-P+ '5-peect?

1.-=nAvq

2'6 T l -l'J -5 , · -, 1 -= 10 '-lT-"'(2x1o~)x.V x.1.GxlO -'1V~5x/D ms-=05~m

po-\enho:\ ~l~rence.: ele(.frica.l ,,....---._) li~nl, ( loo~pea.ker,I )

IC, at v\ ene1'/. hjoJ:,J mol-or) larnp.)--

p .) ) .. ,

e.\e.d'romotive torce.! e\ectrico.) l_ijYI~_, ~olar cel.s J )

ene.f??\ CH'em1cal, oo.1-1-eryJ (p (^) E ot elec..trons ut^ 5CXJndv· · ·.^ microphM1e^1 _ •.

En ~~-p~,~cl iyex- oC\·~ C..,Y)os<;ie. -

' e.ctronvo t u

e V= e,n~~ ~ained br an e.ledmn when it moves +hro°(jh

0 p.ol. o~ one. volt.

KE of +he e_\ectrori when it hirs the t lo-k?

----1i

KE:W= -I~^1 -I~^1

1

V::1.bxl0 C,x1V = (.xlOJ = e\edro/\u,

. V=1V

( 5.J ( *heMiCc.* \j 5.lHeo:hn~ eWect of on electric c_l)rrenl 5 • ½ mo..cf'e.t-41,

  • D,re_c+ con-ent (tx.):c Cha.~ tlow in one. directio 'Alkrfla.-nf'\i conot (AO-= clirtdiOr\ of +he current cho.n~es ( ~ 100 tme.~ /s)

Re<::iistunc.e.. =- ?ole_riha.\ olil'e.rence. o..c (0')':> t~e ~()0\t

(ri ex cornvonenl') c..urre.nt ' 1 n the_ com-po(\ef\t

~. L___!_

  • Ohm'~ lo..w

Ohm'~ lo.w : the ,-polenful dif~reoc~ o.cross a_ me+oJ(ic

COf\Jud-or i"::i -pr~or\i. 'ooa\ to the... c0crent

'1n the. co~tllX.t--or if 1 its kmpero.tul'l- iS

Cofl :::itan t

Pol).)e r-

. Ene~ oleliverwl to Cl conclu.c+-or eac.11 Se.c.oncl! ~= \LI tr= f I \P=Rr1] voltu~e. ocrOSS the c_ondoctor

Comb, nin~ re6i~tor'.:l

V c.urrernin ea.ch^ s^ ome

I ,--------' COrnjX)Oellt .____, L..L,,,...... v, V2 Vl

Ex. To+al re.~.-,~ance. ·111 the.. c'ircuit'

volh

e Sarne / over ~Qlh c.ornpaneM ..;, P<;= 20 t IO: 30 _ .,/. 1 _ i+i-=~

y- 5 ID ID

Q,"' I0/ ( \ (^) ~ (^) 101., -.

+ C,.,es,

20 ; 1_j_+j_,.2, \2.. - 30 2.0 GO R~"g~11.. R_ =- 12 t 10 = 15 I/:, 15 ·

-~ ___,I 1s.3~-- -


~. /o-\me\er read\oi

V= 12.ia 1.

v10, = RTh,Im

\lV

I=V~.Y_

I<- 12,o t~io

= ;-Rio , '/,.v

Riot ~

"' l:.Q__ V ,.. 1 xl:l. : <ZV IOtW o - /,^. 11Vl

J_ : J._ t J_ RII B.1. ~

Rn ~ro 1000

11v-

\Jea\ k non-id~\ me¼?rs

  • \ n order ~r the me~rs not --o 1r)ter~.ere..

resis4nnce h

in~ n; \e CiolroJ) Hi h

so no curren-1- 506 rol(j

i+ I fZ.eal!y ~ioHt

I
I I , ) I I I I ' I I I I / I (^) I I I I I I

. CntJodute 1.0.r. resis\tlr)

  • IJJe. ose °' -po-kntal divickr to /Or~ the vo+rtie.

O\Jtr o... component.

E.rj. \JO\ume_ c..ontrol J Ii ~ht cl.immer

Problem ( co.n'+__ ~ e nhis c9r,f,)echon} ·. , 1

riv -

Hi" volto.3e: 1000 x llV %.I L~V

I

Hax volta3e: 1060 i<. 11v = 12v

1000f- ;' very . imikJ~ (,~'ti+ <:. 'oriu"'t or ver1 btft;

solu-hon

nv-

¼ink Ii ke this

I7 l

5. E lecnic. ce\:,

E"1+ orio- ,nren,a.l re sr;)ta.nce

j_ cell - E ::: em~ voltocf cJ- o._ source l.

wnen ·no corre(\ t ~\a.Jll

(adv~\~ ~"I \JU)f ,- - cell (^) I r f. 1 I

'··. - _'.

I r= 'in\erno.\ · re.r:.i~tancP. 1

= re.s,~tarice of the. eel\ ihe.J~

R. (increose..s as .it'~ ose.cl ") conMt mea::iure. / dire_c:rly E= Vp_-t'ilr

-= RI +rl

l_E T(IL•rl] OLro~"::> t'ne.:- re,si~-nr- == 1.~N. f.. = 1. 44V. r~? w; vo\l-o.~e. O\ICf \Ire. \oacl ~::.\JL+Yr 50Jl- v =1. 91 V 'I. 44 = t 41 .i. V r

Yr =0 .01\J

/ = r i - 7 r= y_ .., o.o,

"J::, ijj_ ~o. 02.ilA 50 I o oii2.

:di Jl.

{-,c__ t,i(i) @ r@Cs~lJ

fi,5JoJle

Power

en~roy ITUN,krreJ TQ g.: 1 \N= QV I .r=ri I

I=~ ='>'1n time lll J Q cY)arcf move~ thmu0~

tV" e.. c.o II du. C. -h:l I. -=') Q=I6t W=QV-=- Il)tV =") W =IV Dt El( R l P=IV - 1 )=RI~= ~ 2 ~J I E.

Total pcwe( :

' Co.pO:c"1ty !::. obili+-~ ot °' cell -\o l'ele~ cha~e.. (of- °' eel\ ) tK Sa.rn~n

$8 30C0rflA' \Pnon~ '/.... :)..1-00 MAh 3oOO rr1Ah =1 con su.pply 3000 (Y)A ~or 1h or 1rnA &r- 3'.:XOh or ')mA ~r 1500 h ( hve.. +o on ex ~f)t-)

Internal resistance graph - question

  1. 10 0.20 0.10 G.-10 0-'0 0.60 0. 70 0.M> 0..90 t O U U 1J [ \ ¥::,· ·itzo l1a.1.! + · • m, JI A t,. ;, •. «i ?:@ 1 l::i:+: ·~ .~ l:b '

@ E,_ ={.5V

@ I~ ti~

J,... 15

Ailernahve~ Choose a. f 0 .,M

t,~I(ll+rJ

£~:r12+Ir
·-1.S-= D.+i +0.6 r ==1 r==- .2~

The graph to the left depicts the voltage across the cell (or equally across the variable resistor) as the variable resistance is increased. Detemine: a) The emf of the cell b) The current in the external circuit when the variable resistor is reduced to zero c) The internal resistance of the cell

A ., corre(\t t?r:Golu.c.e.s , 1 o.

. ~-\ru.iGht wire..

]ErI = --: (^) I ;

BL~

1 1@~er R ,~ l t I • I I I