Шпора по основным школьным формулам по физике
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.
. . . .
q
j /
2
E
/
R
E
– .
.
U
H
/ - .
C
I
L
.
:
i
i
constq =
∑
:
12
2
0
1
4
qq
F
r
πεε
=
F
E
q
=
f
f
2
0
1
4
q
E
r
πεε
=⋅
12
d
d
E
x
d
ϕ
ϕ
ϕ
−
=− =
0
1
4
q
r
ϕ
πεε
=
⋅
U =−ϕϕ
12
q
W
ϕ
=
12
()AEqxq
ϕ
ϕ
=
=−J
:
i
i
EE=
∑
f
f
k
k
ϕ
ϕ
=
∑
,
; ⊥ ,
;
.
:
,
0
1
i
i
S
dSEq
ε
=
∑
∫
f
0
L
Ed⋅=
∫
f
l
- .
: .
,
, ,
1
E
2
E
()
22
0
21
2
PEE
ε
=−
q
S
σ
−=
0
2
E
σ
ε
=
0
2
x
σ
ϕ
ε
=
2
0 ,
,
rR
E
q
k rR
r
<
⎧
⎪
=
⎨
≥
⎪
⎩
,
,
q
k rR
R
q
k rR
r
ϕ
⎧
<
⎪
⎪
=
⎨
⎪
≥
⎪
⎩
3
2
,
,
qr
k rR
R
E
q
k rR
r
⎧
<
⎪
⎪
=
⎨
⎪
≥
⎪
⎩
(
)
22
3
3
2
,
,
qR r
k rR
R
q
k rR
r
ϕ
⎧
−
⎪
<
⎪
=
⎨
⎪
≥
⎪
⎩
.
,
Q,
32
qQq=+
qCU=
2
12
2
11
01221
22
2
(),
CU
W
WE Vqq
ϕϕ
εε ϕ ϕ
=− ===+
:
0
q
E
S
ε
ε
=
0
S
C
d
ε
ε
=
12
0
21
4
R
R
C
R
R
πε ε
=
−
12
12
12
...
...
111 1
...
n
n
n
qqq q
UUU U
CCC C
====
=+++
=+++
12
12
12
...
...
...
n
n
n
qqq q
UUU U
CCC C
=
+++
====
=+++
, .
,
. .
q
en S
t
==
J
J
Iv
U
R
=I
- -
||
E
j
S
ρ
==
f
I
A
q
=
E
R
S
ρ
=
l
;
0
(1 )RR T
α
=+Δ
- .
: U=const,
11
i
R
R
=
∑
,
i
=
∑
II
:
i
UU=
∑
, I=const ,
i
RR=
∑
2
2
U
QAUq Ut Rt t
R
== = Δ= Δ= ΔJ II - –.
( )
1) ( ) ( )
2) ( ) ( )
AB
BA
R
r
R
r
ϕϕ
ϕϕ
→−−=+
←
−+= +
II
II
E
E
:
:
,
0. (n-1) n . ,
,
. - .
.
96500 ! 1
1
,
A
FNemt
Z
F
μ
=== I
.
sinFBq
α
= v
sin 2mm
RT
B
qB
α
q
π
==
v
sin
A
FB
α
= Il
0
2
B
r
μμ
π
=
I
0
2
B
R
μμ
=
I
0
N
B
μμ
= I
l
0
B
H
μ
μ
= cosBS
ϕ
Φ=
L
Φ
=
I
sin
i
B
α
=− lvE
i
t
Φ
=
J
J
E
is
L
t
=−
J
J
I
E
2
0
N
LS
μμ
=
l
2
2
0
()
22
BBS
L
W
μ
+
==
f
f
l
I
.
, ,
,
II
12
1,2 1,2 2
L
Φ
= I
, :
,
2,1 2,1 1
LΦ= I
1,2 2,1
L
L
=
--
, ,
,
r
lJ I
0
2
sin
4
B
r
α
μ
μ
π
=
J
J
Il
l .
l
B
- J .
l
l
B
∑
Jl
. – l.
0
μ
I ,
I
-, , .
, ,
.
2
0
2
E
WV
εε
=
2
0
2
H
WV
μμ
=
max
Z
=
E
I
Z=Z
R
+Z
L
+Z
C
- .
L
Z
iL
ω
=
1
C
Z
iC
ω
=
2
m
=
I
I ,
2
m
U
U = - .
e
t
Φ
=−
J
J
11
ne=E
22
ne=E
11
22
.
U
k
U
=≈
E
E
22
11
U
U
η
=
I
I
. . .
.
max 0
sin( )xx t
ω
ϕ
=+- .
max 0
cos( )xt
ω
ωϕ
=+v
2
max 0
sin( )ax t
ω
ωϕ
=− +
2
ax
ω
=−
2
T
π
ω
=
22
1
2
WmA
ω
=
- .
:
, .
, .
. .
.
2T
g
π
=
l
g
ω
=
l
0
g
αα
+
=
$$
l
.
T
m
g
= 2π
ω=
g
m
$$
x
k
m
x+=0
.
2
J
T
mgb
π
=
mgb
J
ω
=
0
mgb
J
αα
+
=
$$
.
TL= 2π C
$$
q
LC
q+=
1
0
ω=
1
LC
.
222
12 2 1
12
2(cosAAA AA )
ϕ
ϕ
=++ −
,
ω
1
=
ω
2
2
T
π
ω
=
Δ
- .
.
2
0
20xxx
βω
++=
$$ $
22
0
ω
ωβ
=−
00
cos( )
t
txAe
β
ω
ϕ
−
+=
2
0
2()
22
0
2
p
ω
x
xxft
βω
++=
$$ $
β
Ω= −
1mk L
Q k
TRC
π
κ
βκ
=− = = − −
.
:
R
T
γ
μ
=v
, :
E
ρ
=v
T
λ
= v
,
λ
=vn
v
u :
=
k
ω
v
,
d
u
dk
ω
=
,
d
u
d
λ
λ
=−
v
v
()
2
0
1
cos
cos
1
1
u
u
θ
θ
+
=
+
2
1
v
nn
v
, ,
1
u2v
2
u2v
1- 2-
12
0
cos1
u
θ
−
⎛⎞
≈−
⎜⎟
⎝⎠
vv
nn
12 2,
-
1
R
θ
f
f
f
-
vv
α
α
=
12
12
,
0,
cc
cc
π
ϕ
<
⎧
Δ=
⎨
>
⎩
1
2
sin
sin
c
c
α
β
=
Δϕ
=0
12
sin
α
=
.
nxΔ=
- .
: , ,
,
.
c
=
n
v
-
2
1
sin
sin
n
n
α
β
= - .
12
11
1
n
D
1
F
nRR
⎛⎞
⎛⎞
== − +
⎜⎟
⎜⎟
⎜⎟
⎝⎠
⎝⎠
:
11
Fd
1
f
±=±±
1
"+" ,"-"
F
1
"-"
d
1
"+" ,"-"
f
F=R/2
hf
Hd
Γ= =
- .
:
2
2
max
m
λ
Δ=±
,
21
2
min
()m
λ
Δ=± +
( )
,
.
2
nn>
1
max
kL
x
λ
=
l
L
x
λ
=
l
J
max
(2 1)
2
Rk
r
n
λ
+
=
-:
sindk
α
λ
=
max
L
k
x
λ
=
l
L
x
λ
=J
l
().
2
;
c
c
22
0
0
22 22 22
22 2 2222 2
0
;1/; ;
1/ 1/ 1/
;()
mm
cp E
cc
p
F t E E pc S c t inv E E mc
τ
==−= =
−−
==+=−==JJ
v
ll v
vv
l
τ
−
−
v
2
2
22 22
22
22
22
;; ; ;
1/ 1/
1/
1/
;;
1/ 1/ 1/
y
x
z
xy z
xx
tx
xt
c
xyyzzt
cc
uc
u
uc
uu u
uc uc uc
′
+
′′
+
′′
====
−−
′
−
′
′
+
−
== =
++ +
v
v
vv
v
v
v
vv v
2
.
x
.
h-
Eh
=
n
-
h
p
c
=
n
-
2
2
m
hA=−
v
n
0
(1 cos )
KK
e
h
mc
λλ λ λ
=+ − θ =
.
71
22
21
1.1 10
111
R
R
nn
λ
λ
λ
−
=⋅ −
⎛⎞
=−
⎜⎟
⎝⎠
: ()
2
2n
=
()
2
3n
=
()
2
4n
=
,
2
mr n n
π
=
∈
¥
|v
2
0
2
e
h
r
me
ε
π
=
2
rrn=
2
R
ch
E
n
=−
:
hh
p
m
λ
==
v
Z
N
A
−
−
−
A
Z
X
AZN=+
:
44
22
AA
Z
Z
X
YH
−
−
→+e
:
0
11
0
11
:
:
A
A
Z
Z
A
A
Z
Z
X
Ye
X
Ye
β
β
−
+−
+
−+
→++
→++
#
n
n
:
22
()
pn
EE E ZmNmcmc=−=+−J
2
E
m
c
=
J
J
:
1
2
0
2
t
T
NN
−
=⋅