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AP Physics C E&M Summary Sheet
作者:
AnonTokyo
简介:
AP物理C电磁常用公式一览
最后修改:
2025-04-27 16:53:09.015095
文章状态:
已发布
标签:
AP
物理
Ph
ysics
C
EM
S
ummary
Sheet
F
ebruary
16,
2025
1
Electric
Charge,
Electric
Field,
and
Electric
P
oten
tial
•
Charge
Prop
erties
:
Lik
e
c
h
arges
rep
el,
opp
osite
c
harges
attract;
Conserv
ed
and
quan
tized
in
in
teger
m
ultiples
of
elemen
tary
c
harge
•
Coulom
b’s
La
w
:
F
=
1
4
π
ε
0
q
1
q
2
r
2
ˆ
r
•
Electric
Field
:
E
=
F
q
0
(Unit:
N/C
or
V/m)
•
P
oin
t
Charge
Field
:
E
=
1
4
π
ε
0
Q
r
2
ˆ
r
•
Electric
P
oten
tia
l
E
nergy
:
U
=
q
V
;
Electric
P
oten
tial
:
V
=
U
q
(Unit:
V
olt
)
•
Field-P
oten
tial
Relationship:
V
B
−
V
A
=
−
R
B
A
E
·
d
l
2
Electric
Flux
and
Gauss’s
La
w
•
Electric
Flux
:
Φ
E
=
R
R
E
·
d
A
•
Gauss’s
La
w
:
Φ
E
=
Q
enc
ε
0
•
Key
Applications:
–
Uniformly
c
harged
sphere:
E
=
Q
4
π
ε
0
r
2
(
r
≥
R
)
–
Innite
straigh
t
wire:
E
=
λ
2
π
ε
0
r
–
Innite
c
harged
plane:
E
=
σ
2
ε
0
3
Capacitors
•
Capacitance
Denition
:
C
=
Q
V
(Unit:
F
arad)
•
P
arallel-plate
capacitor:
C
=
ε
0
A
d
•
Energy
storage:
U
=
1
2
C
V
2
=
Q
2
2
C
•
Series
com
bination:
1
C
eq
=
P
1
C
i
•
P
arallel
com
bination:
C
eq
=
P
C
i
1
4
Resistance
and
DC
Circuits
•
Resistivit
y
:
R
=
ρ
L
A
(
ρ
=
resistivit
y)
•
Ohm’s
La
w
:
V
=
I
R
•
Kirc
hho
’s
La
ws
:
–
Junction
Rule:
P
I
in
=
P
I
out
–
Lo
op
Rule:
P
ε
=
P
I
R
•
R
C
Circuits
:
–
Charging:
Q
(
t
)
=
Q
max
(1
−
e
−
t/R
C
)
–
Disc
harging:
Q
(
t
)
=
Q
0
e
−
t/R
C
5
Magnetism
and
Magnetic
Fields
•
Loren
tz
F
orce
:
F
=
q
(
E
+
v
×
B
)
•
Biot-Sa
v
art
La
w
:
d
B
=
µ
0
4
π
I
d
l
×
ˆ
r
r
2
•
Amp
`
e
r
e
’s
Circuital
La
w
:
I
B
·
d
l
=
µ
0
I
enc
•
Long
straigh
t
wire:
B
=
µ
0
I
2
π
r
•
Solenoid
eld:
B
=
µ
0
nI
6
Electromagnetic
Induction
•
F
arada
y’s
La
w
:
E
=
−
d
Φ
B
dt
•
Lenz’s
La
w
:
Induced
curren
t
opp
oses
ux
c
hange
7
Maxw
ell’s
Equations
In
tegral
F
orm:
I
E
·
d
A
=
Q
enc
ε
0
(Gauss’s
La
w)
I
B
·
d
A
=
0
(Gauss’s
La
w
f
or
Magnetism)
I
E
·
d
l
=
−
d
dt
Z
B
·
d
A
(F
arada
y’s
La
w)
I
B
·
d
l
=
µ
0
I
enc
+
µ
0
ε
0
d
dt
Z
E
·
d
A
(Amp
`
ere-Maxw
ell
La
w)
With
Constitutiv
e
Relations
:
D
=
ε
E
,
B
=
µ
H
,
J
=
σ
E
2
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