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# 10 Magnetism of Matter 磁 性 Electromagnetic Waves 電磁 波

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10 Magnetism of Matter 磁 性 Electromagnetic Waves 電磁 波

How can a clay-walled kiln reveal Earth’s

magnetic field of the past?

(2)

10-2.7 Find B(r)

R) r

(for

2

) (

2

R) r

(for

2

) (

2

2 0

0

2 0

0 2

0 0 0

0

2 0

0 2

0 0

0 0

### 

dt dE r

B R

dt R dE

E dt R

r d B

dt dE B r

dt r dE

E dt r

r d B

dt s d

d

B E

(3)

10-2.8 Displacement Current

0 0 0

0

0 , 0

+

+

E enc

d E

d enc enc

B ds d i

dt i d

dt

B ds i i

 

 

 

(4)

10-2.9 Maxwell’s Equati ons

(5)

10-3 Electromagnetic Waves

The oscillating E and B Fields

A Most Curious Wave –The ether ( 以太 )

) sin(

) sin(

t kx

B B

t kx

E E

m m

(6)

34-3 The Traveling Electromagn etic Wave

hdE

Eh h

dE E

s d E

dt s d

d E

### 

)

(

• The induced electric field:

(7)

dt dB dx

dE dt

hdx dB hdE

dt hdx dB

dt hdx d

B B

B

, ), )(

(

hdE

Eh h

dE E

s d E

dt s d

d E

## 

)

(

(8)

B c E

t kx

B t

kx kE

t kx

t B B

t kx

x kE E

t B x

E dt

dB dx

dE

m m

m m

m m

) cos(

) cos(

) cos(

) cos(

(9)

․The induced magnetic fie ld:

hdB

Bh h

dB B

s d B

dt s d

d

B E

### 

) (

0 0

(10)

0 0 0

0 0

0

0 0

0 0 0

0

c 1 1 ,

) /

( 1

) cos(

) cos(

) (

), )(

(

c k

B E

t kx

kx kB

t E t

B dt

hdx dE hdB

dt hdx dE

dt hdx d

E

m m

m E E

(11)

) reflection (total

2

) absorption (total

c

p U

c p U

Momentum change

energy change

(12)

․The Force Exerted by Radiat ion

) reflection (total

2

2

) absorption (total

c p I

c F IA

c p I

c F IA

c t IA c

p U t

IA t U

F p

r r

(13)

GM m c

R P F

F

r

R GM

r

m F GM

cr R P c

R F I

c F IA

r I P

S S

g r

S g S

r S

S r

7 2

3 2

2 2 2

2

10 7

. 16 1

3 3 4

4 4



․The size of comet particles

reflection coefficient），或稱負載反射係數。它是

（wave vector）」，記做k，其大小就是波的相位 常數k，其方向就是波的傳播方向。它的三個座標

Wave Function of the Hydrogen Atom’s Ground

 Light travels between source and detector as a probability wave.

double-slit experiment is a phenomenon which is impossible, absolutely impossible to explain in any classical way, and.. which has in it the heart of quantum mechanics -