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Physics 212 Formula Sheet – 2013
R R 1 R 2
I
V
R
2 P IV I R
A
L
R
1 2
R R R
Simple Circuits:
Electrostatics:
E V
1 2 12 2 12 0 12
q q F r ˆ πε r
q 0
F
E
Φ E EdS
^
Q encl E dS
B
A
AB B A E dl q
W
V V
0
AB AB
U W
2
(^4) r
Idl r dB
F qE qv B
NIA
B
^
dF Idl B
Magnetostatics:
B dl 0 I
U B
Mechanics:
2 v a c r
v 2
K m
2 0
1
2
0 u^ E^ E
C C
1 2
C C C
V
Q
C
d
A
C
0 0
C
Q
U CV
2
2
(^21) 2
1
C C 1 C 2 RC
Capacitors and RC Circuits:
/ 0
t V V e
/ (1 )
t V V e
(^)
dt
dI V L dt
d EMF
B
2
2
U LI
R
L I
L
B
Induction and RL Circuits:
0
2
B
uB
Φ B BdS
/ 0
t V V e
/ (1 )
t V V e
(^)
V V V
V x y z x y z
Geometry
Circle
Sphere
2
area R
circumf. 2 R
2
area 4 R
3
3
volume R
X C
C
X L L
1 1
2 2 V N
N
V
LC
2 2 Z R XL XC
LC, LCR, and AC Circuits:
0 L 0
Q
R FWHM
max 2 rms
max max
I Z
max max
cos 2
I I R
rms
P
1. 60 10 C
19 3 10 m/s e
00
c Z 0 ^ 0 c^377 Ω
2 9 2
1 Nm 8.99 10 4 C
k
Important Constants: 2
0 8.85^10
C
Nm
SI Prefixes Power Prefix^ Symbol
106
103
100
10 –^3
10 –^6
mega
kilo
—
milli
micro
M
k
—
m
10 –^9 nano n
10 –^12 pico^ p
Mirrors and lenses:
R
f
1 2
R R
n f
s s ' f
s' m s
EM Waves, Polarization, Reflection and Refraction:
2
Intensity 2 Intensity 1 cos ( 1 2 )
n 1 sin 1 n 2 sin 2
E B
S
1
2 sin (^) c n
n
v c n/ ^
u u E uB
2 max
0
P E
Intensity c u area
v f k
E cB
2 f
1 v/c
1 v/c
f f
0
E D
d I dt
𝐵 ⋅ 𝑑𝑙 = 𝜇 Z 0 377
0
0
0
4𝜋
≡ 1 × 10
2
= 1 × 10
