Equation Sheet Physics Worksheet
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1
2Equation Sheet
Constants
˙
Forces
˙
9
2
2
Coulomb’s law
k = 8.99·10
N m
/C
q
q
1
2
1
=
Coulomb:
k
q E
4π
r
2
0
12
2
2
Permittivity
= 8.85·10
C
/N m
0
Lorentz:
qv × B
l I × B
7
Permeability
µ
=
4π·10
T m/A
2
mv
0
19
Centripetal:
Electron charge
e= 1.60·10
C
r
8
Speed of light
c =
3.8·10
m/s
Fields
.
Q
point charge
E = k
r
2
dQ
Flux
infinitesimal Coulomb
d E = k
ˆ r
r
2
in general
Φ
=
X · d A
X
∂V
given a potential
E
=
uniform X
Φ
= X · A
x
X
∂x
outflux
Φ
> 0
µ
I
X
0
infinite straight current
B =
influx
Φ
< 0
2π
r
X
solenoid
B = K
µ
In, n = N/l
B
0
µ
I
d l × ˆ r
0
infinitesimal Biot-Savart d B =
4π
r
2
Maxwell’s Equations
(Gauss)
E · d A = Q
/
enc
0
B · d A = 0
∂Φ
B
(Faraday)
E · d l =
(= E)
∂t
∂Φ
E
(Amp` e re)
B · d l = µ
I
+ µ
enc
0
0 0
∂t
Potential Energy
Electric Potential
q
q
1
2
q
point charges
k
point charge
k
r
r
point charge and field
qV
dQ
infinitesimals
dV =
k
2
Q
r
1
1
2
capacitor
QV =
CV
=
b
given a field
V
=
E · dr
2
2
2C
ab
1
2
inductor
LI
a
2
Miscellaneous
V
N
transformer
=
s
s
V
N
p
p
magnetic moment of current loops µ = N I A
torque
τ = r × F
torque on a magnet
τ = µ × B
A
parallel plate capacitance
C = K
0
d
t/τ
RC circuit
Q = Q
e
,
τ = RC
0
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