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Physics Lecture Notes: Electromagnetism, Circuits, Waves

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E = 2πk))
-
n2 xz)
driEd a
,
·
+
Unit 1 :
E-fields
:
e
da
/Y
Fe
:
Fe
=
to
=
da
1
=
= de
E
ada
E = zik6(1
E
JEda
:
-F
E
:
1
E
Cyl
·
A
E
via
E-2 Isolated& charged in charge
via
E
.
=
0
E
k
=
E Pot.
Unit 3 :
%
2
=
:
0
LKO
Wint
:
4
-
Ex =
F dis
xu
gE ds
ave
:
:
3
-
.
wind :
Cap . : E
2 ric
=
W
biggest where radius of curve
is
)
VE
.
-
2kIn(a)
Unc :
EEoAdE
Elec
.
=
Wint
-
large
Dipole Moment
:
.
R1
u
E = const
Ex
-
=
INC
-Y*
:
-
.
VA-UB
cur r
:
.
dens
.
av = 5
Ie : IV/A
-
Irq())
=
=
O if A & B on Sur
QieR
.
Va
circ .
Unit 6 : Direct-curr
ev
J
=ga
lev = 1 6 x 10 197
au = W = gXV
-
Nim
=
an
V =
=
Eds
-gE d DAB
:
C = cu
.
Exd if
-
=
=
SEds
-
u =
Potd
gJE d
=
U
=
du
is smallest
.
Unit 5 : Curr & Reg
.
kUE
=
plates
l
:
:
Ean surface is a diel :
4
.C
cyl. ain
surface
on
.
xvbtwn
:
E
.
↓E :
inside
ra
in e
Dielectrics' :inbetween
&
.
E-EAcoso
-S
:
4πr2 = SA
Unit P : Cap
Electrostatic Equil
in
R+y
b=
-
Conductor
Law
qE
edu
=
:
Unit 2 : Gauss'
CE
Qmax
=
Gen
Ka
·
=
av : Ed
+
A
.
C= C
:
-
doA
.
11 : Qi = Q
E
= c:
Q2 +
as
:
dW : Vdq
...
c
+
=5 2
+
-
..
v:
E
F : qE
av :
p 2aq
:
:
Voll-ed since
qu p E
=
VE
G
:
CcQ
naVdA
=
=
EQU : Car :
=
I
?
Ve
v
.
: V : vi + vz + . . .
+
:
v=
+...
ZEoE
E = Eo-Eind
&
=
c
:
.
·
E
Sph cap
E
=
=
-
1A
·
12/5
=
c
XV
A
:
(nAVd4t)q
:
e =
nqva
=
Id
Eo-Eind
:
t
R
E
-
5
*
I:
e
=
e = ep(1 + <(T
T
-
.
1)
is =
:
"
Quax
(d
=
-
El
P = IQV
=
RI
=
Y
:
R+ = R
I
RC
=
-Ber
: = +
d EC
=
Loop
+
,
+
...
Rz + . . .
I , : Iz
:
I
=
ist)
=
v1
er
=
Ix : Is
:
Against I
EgE-
=
IR + In
=
+
= 0
(Re Real
Junction : I :
for R
-B
1
+xz
=
(n
x +
az
+
m
No I
x
Unit
Mag
Unit 8
7
Fields & Grc
.
B
.
(B C 4)
2r
=
Unit 9 : Faraday's Law
.
.
Same dir= att
F quxi
I
=
=
ng +
FB
d
NOI
.
.
IYo
4 B A
2πa
=
BAcoso
=
.
Ampere's Law
19/VBsin O
=
I
=
:
& B d5
No l (B Loop)
=
.
natdua
eub
mu
=
B
agd
:
No
YI
- :
&B d
=
Yg mgrsing
6 3 d5
=
↑ = [xi
.
.
:
(B In Sole )
.
1
↑
NITtr2BSinG
Isole
MBsinQ
P
d = Id
& B.
m
=
do
↓
UB
=
-w
=
:
Be (5 Ex Sole )
.
B2Tr
-
rBcos
:
.
-
Blu
=
-Ba
E = NBAwsin(wt)
.
(B In. Toro )
O : cot
.
.
N
B =
E = GE d5
NI
d
:
5 : IR
.
.
·
x
=
EMF
d
↑=
do Ed
&
.
Sin
.
DV-Nd
E
I
T
=
Index = v
Middle
do
sed
=
No
F B
.
sinda
I
.
~
EH
=
(B
VdB
E,
1H = 1V
:1
E2 .1:
pdil
Eff
=
-
E + Er
+
in
-
=
U : UE
.
S
Up =
=
uB
q
:
U
UB
B
it
v =
23%
Qmaxecoscout
.
BaxtoEmax
+)
XV : (VmaxSin(wt)
in
w
:
2n +
:
Irms
9
Imaxsin(wt)
Frax
:
Imax
+
RC]
Umax
,
:
.
op
a
WA)
-
,
sin
a
=
:
RLC
X :C
Unit 12 : E
DV : DUR + V +
V : AVmaxSin(at + 4)
.
Mag Waves
EcNo
.
& E da :
c
&i3. d
& E ds
.
=*
Xf =
=
:
c E Emaxcos(kX-w
:
Y
AVmax
WVmaxcos t is
Imax
:
Human Xc and
=
:
=
Irms
:
<Up + 1V2
Imax
-
4Vc(2
R2 + (xc
in ms
-
Xc)
>
↑ E d5
.
13
.
0
=_
-
↓
0.
-x32
=
:Nol +
&B
:
(E(X + dx +)
,
BedX
:
coNoddsG
-
i
E
Eff
:
-L
ic
ic (i)
-
w =
DVrms
:
for Ac
Imax Sin(aut 4)
-
+
Umax
Imax
Up
:
:
It :
CQmax
Xc
:
2fc
1
-
tR
e L
iCV =
ic
=
[maxSin (cut + )
Paug
:
ImsR
AVc = Imax XC
RLC Circuit
Iwms
= FCVmax
Cumax
& Vrms
:
R
Circuit
in
:
maxcoscore)
& UR = ImaxRSin (Wtl
:
ansform
4Vc : ImaxX(Sin( + )
XVc : ImaxxcSincae-E)
Irms &VrmS
P
=
I , V = IzQV ,
.
R
F
:
gE qx5
C
+
=
&B
222
0x
U : U max Cos
:
CEO
12
=
-
ENG
(KX-we) No
Wi N
:
ma
E(X t i l e
,
KEmax
=
=
cu
- E=
.
# = Savg
Acc
Powerr( unit A
S :
5
=
coBmax
=
E = c B
7
a?
+ )
B : BmaxCOS(kX-wt)
Circuit
CXVmaxSin(wtl
:
ic
:
Imaxsin(ct-E)
:
C
in
EgE2
Vaug
S
Q = CV[1-e
s
O
NoF(SinG
XVH : End
Unit 10 : Inductance (1)
~
.
:
P
Caug
:
:
SA
Bax : Ema
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