Physics 212 Formula Sheet –2013
Mechanics:
K
1 2
mv
2
v2
r
ac 
Electrostatics:

 F
E
q0
1 q1q2
F12 
rˆ12
4πε0 r12 2
 
E  V
VB  VA 
  Qencl
E
  dS 
 
ΦE   E  dS
B 

WAB
   E  dl
q0
A
0
U AB  WAB
Capacitors and RC Circuits:
Q
C
V
C0 
C  C1  C2
0 A
C  C0
d
1
1
1


C C1 C2
U
1 CV 2
2
  RC
Q2

C
1
2
uE 
V  V0 e t /
1
0E2
2
V  V (1  e t / )
Simple Circuits:
R
V
I
L
R
1
1
1


R R1 R2
A
R  R1  R2
P  IV  I 2 R
Magnetostatics:
F  qE  qv  B



  NIA

 0 Idl  rˆ
dB 
4 r 2
 
U    B
 

dF  Idl  B


  B
 
B
  dl  0 I
Induction and RL Circuits:
EMF  
U
d B
dt
1 2
LI
2
 
ΦB   B  dS
uB 
L
B
I
V L
dI
dt

L
R
2
1B
2 0
V  V0 e t /
V  V (1  e t / )
1
LC, LCR, and AC Circuits:
0 
1
LC
XC 
1
C
X L  L
 max  I max Z
Z  R 2   X L  X C 2
1
2
2 R
 P   max I max cos   I rms
 rms 
Q
0 L
R

1

2 max
V2 
N2
V1
N1
0
FWHM
EM Waves, Polarization, Reflection and Refraction:
 B  dl   I   I
0
ID  0
0 D
 
 EB
S
d E
dt
u  uE  uB
E  cB
0
vf 
  2 f

Intensity2  Intensity1 cos 2 (1   2 )
k
n1 sin 1  n2 sin  2
v  c/n
2
1 Emax
Intensity 
c u 
area
2 0
P
n
sin  c  2
n1
f f
1  v/c
1 v/c
Mirrors and lenses:
1 1 1
 
s s' f
R
f 
2
1
1
1 
 (n  1)  
f
 R1 R2 
m
s'
s
Important Constants:
Nm2
k
 8.99 10
4
C2
1
c
 3  108 m/s
1
9
0 0
SI Prefixes
Power Prefix Symbol
106
103
100
10–3
10–6
mega
kilo
—
milli
micro
M
k
—
m

10–9
nano
10–12
pico
n
p
 0  8.85 10-12
C2
Nm2
e  1.60 1019 C
Geometry
Circle
area  R 2
circumf.  2R
0
T
 1107 N2  1107 m
A
A
4
Z0  0c  377 Ω
V  xˆ
V
V
V
 yˆ
 zˆ
x
y
z
Sphere
area  4R 2
4
volume  R 3
3
2