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AP Physics C Electricity & Magnetism Constants & Formulas Reference

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ADVANCED PLACEMENT PHYSICS ELECTRICITY AND MAGNETISM
TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
UNIT SYMBOLS
ampere,
A
coulomb,
C
electron volt, eV
farad,
F
henry,
H
hertz,
Hz
joule,
J
kilogram,
kg
meter,
m
newton,
N
ohm,
Ω
second,
s
tesla,
T
volt,
V
watt,
W
Coulomb constant,
−
Vacuum permittivity,
0
Vacuum permeability,
0
−
Proton mass,
mp = 1.67 × 10−27 kg
Neutron mass,
mn = 1.67 × 10−27 kg
Electron mass,
me = 9.11 × 10−31 kg
Elementary charge,
e = 1.60 × 10−19 C
1 electron volt,
1 eV = 1.60 × 10−19 J
Speed of light,
c = 3.00 × 108 m s
1 unified atomic mass unit,
1 u = 1.66 × 10−27 kg = 931 MeV c 2
Mp Mnsme
Universal gravitational constant, G = 6.67 × 10 11
Magnitude of the acceleration due to gravity at Earth’s surface, g = 9.8 m s 2
Magnitude of the gravitational field strength at Earth’s surface, g = 9.8 N kg
PREFIXES
Factor Prefix Symbol
tera
T
1012
9
giga
G
10
mega
M
106
kilo
k
103
centi
c
10−2
−3
milli
m
10
−6
micro
µ
10
10−9
10−12
nano
pico
n
p
VALUES OF TRIGONOMETRIC FUNCTIONS FOR
COMMON ANGLES
0°
30°
37°
45°
53°
60°
90°
sin
0
12
35
2 2
45
3 2
1
cos
1
3 2
45
2 2
35
12
0
tan
0
3 3
34
1
4 3
3
The following conventions are used in this exam:
• The frame of reference of any problem is assumed to be inertial
unless otherwise stated.
• Air resistance is assumed to be negligible unless otherwise stated.
• Springs and strings are assumed to be ideal unless otherwise stated.
• The electric potential is zero at an infinite distance from an
isolated point charge.
• The direction of current is the direction in which positive charges
would drift.
• All batteries, wires, and meters are assumed to be ideal unless
otherwise stated.
AP Physics C: Electricity and Magnetism Course and Exam Description
1
Appendix V.1 | 184
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© 2024 College Board
ELECTRICITY AND MAGNETISM
q1q2
r2
0
dq
r̂
r2
qenc
enc
( r ) dV
q1q2
r

V

dr
k
q1q2
r2
A = area
C = capacitance
d = distance
E = electric field
F = force
I = current
J = current density
ℓ = length
P = power
q = charge
Q = charge
r = radius, distance, or
position
R = resistance
t = time
U = potential energy
V = electric potential or
volume
= electric permittivity
ρ = resistivity or charge
density
k = dielectric constant
= ux
A = area
B = magnetic field
C = capacitance
F = force
I = current
ℓ = length
L = inductance
n = number of loops
per unit length
N = number of loops
q = charge
r = radius, distance, or
position
R = resistance
t = time
U = potential energy
v = velocity or speed
= emf
= magnetic
permeability
= time constant
= ux
= angular frequency
v fide
Edr
V

AP Physics C: Electricity and Magnetism Course and Exam Description
2
Appendix V.1 | 185
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© 2024 College Board
a = acceleration
E = energy
f = frequency
F = force
h = height
J = impulse
k = spring constant
K = kinetic energy
ℓ = length
m = mass
M = mass
p = momentum
P = power
r = radius, distance, or position
t = time
T = period
U = potential energy
v = velocity or speed
W = work
x = position or distance
y = height
l = linear mass density
m = coefficient of friction
0
a = acceleration
d = distance
f = frequency
F = force
I = rotational inertia
k = spring constant
K = kinetic energy
ℓ = length
L = angular momentum
m = mass
M = mass
p = momentum
r = radius, distance, or
position
t = time
T = period
v = velocity or speed
W = work
x = position or distance
a = angular acceleration
q = angle
t = torque
f = phase angle
w = angular frequency
or angular speed
i
2
AP Physics C: Electricity and Magnetism Course and Exam Description
Appendix V.1 | 186
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© 2024 College Board
GEOMETRY AND TRIGONOMETRY
Rectangle
A = bh
V = ℓwh
Triangle
1
A = bh
2
Cylinder
V = r 2ℓ
Circle
A = r2
C=2 r
Sphere
4 3
V=
r
3
S = 4 r2
s=r
A = area
b = base
C = circumference
h = height
ℓ = length
r = radius
s = arc length
S = surface area
V = volume
w = width
q = angle
Rectangular Solid
s
r
S = 2 rℓ + 2 r 2
Right Triangle
a 2 + b2 = c 2
a
sin =
c
b
cos =
c
a
tan =
b
c
a
90°
b
VECTORS
CALCULUS
IDENTITIES
(
df df du
=
dx du dx
log a bx
) log a + x log b
sin 2 + cos 2 = 1
d n
x = nx n−1
dx
( )
sin ( 2 ) = 2sin cos
d ax
e = ae ax
dx
( )
sin
= tan
cos
d
1
ln ax ) =
(
dx
x
d
sin(ax = a os( ax )
dx
d
cos(
dx
ax)
ax)
4
AP Physics C: Electricity and Magnetism Course and Exam Description
Appendix V.1 | 187
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© 2024 College Board
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