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Physics 4B Equation Sheet
nqA
v
nqt
IB V E d v Bd
B NIA B
NI A
dF Ids B
F IL B
F qE qv B
d
H H d
1
^
2
B d A
B d A
r
I
B
r
NI
B
B nI
dt
d
B ds I I I
r
I ds r
B
B
o
wire
o
toroid
solenoid o
E
o d o o
o
( / )
/
0
/
' Equations
B ds I d dt
E ds d dt
B d A
E dA Q
Maxwell s
BLv
E d s
dt
d
N
o o E
B
o
B
I s node Vs inclosed loop
e disch e
RC
Q
I t
qt Q e Q e disch e
I t I e I e
qt Q e Q e
R R R
R R R
t RC
tRC t
t
o
t RC
o
t RC t
eq
eq
() arg
() arg
max /
/
max
/
max
/ /
/
max
/
max
1 2
1 2
P I V V R I R
T T
m nq
v q m E
I
V
A
L
R
E
J E
J I A nqv
dt
dQ
I
o o
e
d
d
2 2
2
[ 1 ( )]
p q L
p E U p E
U E
U Q V
U Q C
U C V
C C C
C C C
C Q V
E
dipole
o
eq
eq
platesvacuum o
2
;
( 1 / 2 ) ;
( 1 / 2 )
( 1 / 2 ) /
( 1 / 2 )
...
1 1 1
...
/
/
2
2
2
1 2
1 2
Physics 4B Equation Sheet
Miscellaneous
2 2
2 2
9 2 2
9
6 6
6
6
27
31
19
12 2
7
3 6 3
2
2
; ( 4 / 3 )
2 ; ; 4
- 9910 /
1 10. 001
1 10 ; 1 0. 001 10
2 f
constant
1 10
1 10
67 10
1110
602 10
4 10
1 10 10 10
0
2
1
V r LV r
A rL A r A r
k x Nm C
ns s s
C C A mA A
t
A A
C C
m x kg
m x kg
q x C
x C Nm
x Tm
MHz kHz Hz Ghz
U K
U q V
r
mv
F
K mv
cylinder sphere
cylinder ciccle sphere
coulomb
p
e
e
o
o
c
max
2 2
,
1 1
max max
2 2
2
2 2 2 2 2
sec sec
2
1
;
( )
tan cos
cos ; cos
cos
( )
1
2
rms
rms
L C
SERIES RLC L C
L C
rms
avg rms rms rms
o
o
o
o
ondary ondary
primary pr
V I
I
Z
X L X
C
Z R X X
X X R
R Z
i I t v V t
V R
P I V I R
R
f
LC
L
Q
R
V N
V N
2
sec
;
primary
eq Load
imary ondary
N
R R
N
c f ; k
F t=m v
(completereflectance,normal incidence)
(completeabsorption,normal incidence)
(completereflection,normal incidence)
(completeabsorption,normal incidence)
2 2 2 A
sin( )
cos( )
2
max
2
max
2 2
2
max
2
max max max
2 2
8
c
S
P
c
S
dt
dp
A A
F
P
c
U
p
c
U
p
c
S
c
B E I
u
u u u
u
B E
u u
Power
c
E B cB E
I S
A
Power
c
EB cB E
S E B S
E B c
E E kx t
E E kx t
c x m s
o^ avg
o
T avg
T B E
T avg
o
o
B E
avg
o o o
avg
o o o o
m
m
o o
t
LI
t
C
Q
U U U
t
LC
B
U LI u
e
R
V
e
R
V
I
e
R
V
e
R
V
I
M
I
N
M
I
N
M
dt
dI
V M
dt
dI
V M
I
N
L
dt
dI
L
dt
d
V N
L C
o
B
Rt L t
Rt L t
2
2
(^2) max
2
max
max
2
2
/ /
/ /
2
1 21
21
1
2 12
12
2
1 21
1
2 12
sin
cos
Q=Q cos( )
Circuits
2 2
2 2
2 2
2 2 2
2 2
2
2 2
2 2
2 2
2 2
x x a
x a
dx
x x a
x x a a
x a
x dx
x a
x a
xdx
x a
x a
xdx
ln
ln
ln
