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