Physics1220:FormulaSheetExam2
Constants and conversion factors: k  9  109 Nm2 /C2
 0  8.85  1012 C2 /Nm2
qe  e  1.6  10
19
C
0  4  107 Tm/A
c  3  108 m/s
1 eV  1.6  10
19
h  6.63  1034 Js (Plank's constant)
J
R  1.097  107 m1
me  9.11  1031 kg

h
2
 1.05  1034 Js
1 u  1.66  10 27 kg  931.5 MeV
c2
Magnetic Force on: moving charges
F  qvB sin 
  NIAB sin 
Magnetic Field of a:
Circular Loop
at center, x=0
I
B 0
2R
Long Straight Wire
I
B 0 2 R
Solenoid
B  0 nI
Ampere's Law
Toroid
 B L   I
B
Inductance
AC circuits
I
t
Inductance for solenoid
Z  R2   X L  X C 
currents
F  ILB sin 
between currents
II
F 0 1 2l
2 d
Magnetic Torque

0 enclosed
|  | L
0 NI
2 r
Electromagentic Waves
c f
2
Energy density
1 2
u  0E2 
B
0
1
I max
2
1

Vmax
2
 I rms Z
E  cB
I  uc  c 0 E 2 
I rms 
 t /
Energy stored in inductor
1
U  Li 2
2
Torque   NIAB sin 
1
C
V  Vmax sin t
1  e 
R
  L/R
Faraday's Law

e  N
t
Motional EMF
e  Bvl
XC 
RL circuits:

  BA cos 
X L  L
L  0 n 2 Al
i
Magnetic Flux
Vrms
Vrms
Pav  I rmsVrms cos 
0 
1
 2 f 0
LC
pressureav 
I av
c
c
0
B2