Physics 123 “Majors” Section Unit 1
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Transcript Physics 123 “Majors” Section Unit 1
Announcements 1/20/12
Prayer
Review Question (not graded)
In an electro-magnetic wave, the electric and
magnetic fields:
a. are always in phase
b. always have a relative phase shift
c. can have a relative phase shift when
absorption takes place
Reading Quiz
The most important frequency for the optical
properties of a conductor is the:
a. decay frequency, wD
b. plasma frequency, wP
c. reflection frequency, wR
d. resonance frequency, w0
Reading Quiz
In a conductor, the optical properties are
described by a ___________ index of
refraction:
a. totally real
b. totally imaginary
c. partially real and partially imaginary
Metals: complex n
From P&W Fig 2.6 (and HW P2.8…)
Reflectance vs. Wavelength
From Hecht
Plasma frequency
Reading Quiz
The vector that gives the direction of energy
transfer through space in an E-M wave is called
the:
a. Clausius vector
b. flow vector
c. Michelson vector
d. polarization vector
e. Poynting vector
Energy stored in fields (appendix)
Derivation of Poynting Theorem
B
E
t
B
(dot with B) B ( E ) B
t
E
E
B 0 J 0 0
(dot with E ) E ( B) 0 E J 0 0 E
t
t
B ( E )
1 2
B
2 t
E ( B) 0 E J
0 0
Bottom eqn minus top eqn…
E ( B) B ( E ) 0 E J
( E B)
Multiply both sides by -1/0 …
2
E
t
0 0
2
t
2
E2
1 2
B
2 t
0 E 2 B2
0
t 2
2 0
Derivation of Poynting Theorem, cont.
0 E 2 B2
(E ) E J
0
t 2
20
B
like a flux,
call it S
S
u field
t
energy density, ufield
E J
(J includes both Jfree and Jpolar)
has units of
energy density/time…
call it “dumedium/dt”
S
u field
t
umedium
t
compare to Eqn of Cont.
J
t
Intensity