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Electromagnetism: Fundamental Laws and Concepts, Study Guides, Projects, Research of Physics

irodov_problems_in_general_physics_2011

Typology: Study Guides, Projects, Research

2010/2011

Uploaded on 01/07/2023

mo-salah
mo-salah ๐Ÿ‡บ๐Ÿ‡ธ

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bg1
(Continued)
Name
SI
Gaussian system
Blot
and Savart's
law
Induction
๎˜‰
of
๎˜‰
the
field produced
(a)
by
๎˜‰
direct
current
(b)
in the centre
of a loop
(c)
in a solenoid
Definition
๎˜‰
of
๎˜‰
the
vector H
Circulation of the
vector H in a
constant field
Relation
๎˜‰
between
J and H
Relation
๎˜‰
between
II
and x
Relation
๎˜‰
between
B and H
Lorentz force
Ampere's law
Force
๎˜‰
of
๎˜‰
inter-
action of paral-
lel currents
Erni of induction
Inductance
Inductance
๎˜‰
of
๎˜‰
a
solenoid
Energy
๎˜‰
of
๎˜‰
the
magnetic field
produced by cur-
rent
Energy density of
magnetic field
dBโ€” 4
๎˜‰
I
[dl, r]
1
๎˜‰
I [dI, r]
dB=
4n
๎˜‰
7
.3
B
๎˜‰
p,o
๎˜‰
2/
o
โ€”
๎˜‰
โ€”
c
๎˜‰
1.
3
B
๎˜‰
2/
.L.
,
=โ€” ---
c
๎˜‰
r
D,
๎˜‰
1
๎˜‰
2a7
vp =
4a
๎˜‰
r
B=
[t
o
2
4n
๎˜‰
r
B = ponI
H =B41.
0
โ€”J
1/
/
d/=/
J-=
p,=1+x
B= p,opH
F=
q
[vB]
dF = I
[dl, B]
F____
๎˜‰
p,
0
๎˜‰
2
1
1
1
2
C
c
๎˜‰
r
B=
โ€”
43t
nI
c
H= B-4nJ
.//
/
d/--=โ€”L
t
4
๎˜‰
/
XH
p.= 1+ 4nx
B = p,H
F= โ€” [vB]
c
dF = โ€”
I
[dl, B]
c
1
๎˜‰
21
1
1
2
F
โ€”
4n
๎˜‰
d
dCb
c
2
๎˜‰
d
1
๎˜‰
c/(1)
Wi=
--it-
L=c1)1I
L =
gop,n
2
V
L/2
W
=
5'i=
โ€”
c
๎˜‰
dt
L= ca 1 1 I
L =
4ntin
2
V
w =
1
๎˜‰
L/
2
2
BH
2
rr
c
2
๎˜‰
2
BH
w
---
--
w=
8n
pf3
pf4
pf5

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(Continued)

Name SI Gaussian system

Blot and Savart's

law Induction of the field produced (a) by direct current (b) in the centre of a loop (c) in a solenoid

Definition of the vector H Circulation of the vector H in a constant field Relation between J and H Relation between II and x Relation between B and H Lorentz force

Ampere's law

Force of inter- action of paral- lel currents

Erni of induction

Inductance

Inductance of a solenoid

Energy of the magnetic field produced by cur- rent

Energy density of magnetic field

dBโ€” 44n I^ [dl, r]7.3^ dB=^1 I [dI, r]

B

o โ€” p,o^ โ€”2/

c 1.

B

.L., =โ€” ---2/

c r

vp =^ D,^1 2a

4a r

B= [to 2 4n r

B = ponI

H =B41.0 โ€”J

1//d/=/

J-=

p,=1+x

B= p,opH

F= q [vB]

dF = I [dl, B]

F____ p,0 21 1^1^2

C

c r

B= โ€”43t^ nI c H= B-4nJ

.// /d/--=โ€”L 4 t /

XH

p.= 1+ 4nx

B = p,H

F= โ€” [vB] c

dF = โ€”^ I^ [dl, B] c

F โ€”^1 4n (^) d

dCb

c2 d

1 c/(1) Wi= --it-

L=c1)1I L = (^) gop,n2 V

L/ W =

5'i= โ€” c dt L= ca 1 1 I L = 4ntin2 V

w =

1 L/ 2

BH

rr c2 2

BH

w----- w=8n

(Concluded)

Name SI^ Gaussian system

Maxwell's equa- tions in inte- gral form

Maxwell's equa- tions in differen- tial form

Velocity of an electromagnetic wave in a me- dium

Relation between

E and H in an

electromagnetic wave

Poynting vector

(;1 DndS = J pdV

E โ€” nndS

13ndS = 0

idl = (j n+ nn) dS

Vโ€ขD= p

V X E= โ€”

Vโ€ขB=

V x H=j+D

v=1/1/ 801.1.041,

E = I I 1/1-' 1 ;1 1

S =-- [EH]

DniiS = 471 pdV

Eidl =-- 1371dS

ยง BndS = 0

41t bn

dS

Vโ€ขD=43-tp

V x E=

Vโ€ขB= 0

V X H--- 471 c- j+

v = c/V EEt

El/e =H V IT

S= 47

(Concluded)

Proton magnetic moment Neutron magnetic moment

Atomic mass unit

Permittivity of vacuum

Permeability of vacuum

= 2.7928 RN ฮผ n =-1.913 [EN 1 a.m.u.= {1.660.10-24 g 931.4 MeV e0 =0.885.10-il F/m 1/4:180 =9.102m/F 140=- 1.257.10-6H/m 110/4n=10-1H/m

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