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Formula sheet
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Geometry
Ls Rs Rs 2
LWA BHA21
2 RA RhA 2 2 4 RA
LWHV HRV 2 334 RV HRV 2
31
Vectors
zzyyxx BABABAABBA cos
sinABBA
Integrals
22
2122ln axx
ax
dx
212222322 axax
ax
dx
212223221
axax
xdx
axax
dx
ln
Misc.
a
acbbx
2
42 1for 11 xnxx n
b
aba lnlnln
Electrostatics
2
21
r
qqkF
04
1
k EqF
2r
qkE
2
21
r
mGmF
dqp
3
2
z
kpE
3z
kpE Ep
2sin
2
R
kE
AdE
0
enclosednet
qAdE
Lq Aq Vq
2
enclosed
r
qkE
rE
02
1
02
E
0
localE 0E
f
i
fieldby sdEqWVqU
KEWnet f
i
Fby sdFW
r
kqV
r
kdqdV
chargesall i
i
r
kqV
r
qkqU 21
pairsall ij
ji
r
qkqU
VE
x
VEx
y
VEy
z
VEz
s
VEs
Capacitors
CVq d
AC 0
...21 CCCeq
1
21
...11
CCCeq
C
qqVCVU
22
2
1
2
1
2
1
Resistor Circuits
dt
dqi
A
iJ
i
VR
A
LR
JE
000 TT
Aenvi drift mL
AVnei
2
EiP
R
VRiiVP
22
Magnetism
BvqFB
r
mvmaF cc
2
T
f
2
2
BliFB
BlidFd B
B
NiA
2
0
4 r
rsidBd
2
0 sin
4 r
idsdB
R
iB
2
0 R
iB
2
0 R
iB
4
0
d
ii
L
F baba
2
0 enclosedisdB 0
R
iB enclosed
2
0
L
iNinB 00
3
0
2 zBz
AdBB
cosBAB BAB dt
dN B
E
RC, RL, LC Circuits
RCC R
LL
dt
diLL E tt eyty 1 tt eyty 0
LC
1 f 2
fT
1 AlnL 20
2222
2
1
2
1
2
1
2
1LItLi
C
tq
C
Q
Optics
vf 2max02
1cEI 2211 sinsin nn
fip
111
p
im
O
I
h
hm
21
111
1
rrn
f
d
mm
sin
a
mm
sin
D
ysin
d
1densityline
elementary charge e C1060.1 19 centi c 210
permittivity of free space 0 2212 mNC1085.8 milli m 310
k 229 CmN1099.8 micro 610
electron mass em gk1011.931 nano n 910
proton mass pm gk10673.127 pico p 1210
neutron mass nm gk10675.127 femto f 1510
Gravitational constant G 2211 kmN1067.6 g
permeability constant 0 AmT1047
speed of light c sm10998.2 8
Earths surface gravity g 9.8 m/s2