Download PHYS 4202/6202 (as of Jan. 03/2015) Electricity and Magnetism II

SPRING 2015 Department of Physics & Astronomy, UGA
PHYS 4202/6202 Electricity and Magnetism II (as of Jan. 03/2015)
The course syllabus is a general plan for the course; deviations announced to the class by the instructor
may be necessary.
Course
Description:
Oasis Title:
Prerequisite:
Grading System:
Instructor:
Office:
Email:
Sections:
Office hours:
Main text:
Useful text:
Academic Honesty:
Attendance:
Homework:
Midterm exams:
Final exam:
Grading policy:
Cut-offs:
How to do well in this
class:
Topics include Maxwell's equations, electromagnetic radiation, the theory of
electromagnetic fields in matter, and Einstein's special theory of relativity.
ELEC & MAGNET II
PHYS 4201/6201
A-F (Traditional)
Dr. Andrei Galiautdinov
220
[email protected]
27333/27337 09:05a - 09:55a MWF
09:55a - 10:55a MW
Your lecture notes
D.J. Griffiths, Introduction to Electrodynamics, 4th Edition (Pearson, 2013)
As a University of Georgia student, you have agreed to abide by the University’s
academic honesty policy, “A Culture of Honesty,” and the Student Honor Code. All
academic work must meet the standards described in “A Culture of Honesty” found at:
www.uga.edu/honesty. Lack of knowledge of the academic honesty policy is not a
reasonable explanation for a violation. Questions related to course assignments and
the academic honesty policy should be directed to the instructor.
Absolutely mandatory
- No make-ups; collaboration while solving OK; submission & discussion
individual
- PHYS4202 students submit on paper before deadline
- PHYS6202 students submit on paper before deadline, then make an
appointment to discuss with instructor
None
- Mandatory
- Closed notes, closed book
- A simple (non-graphing, non-symbolic, non-programmable) scientific
calculator
- No other electronic device(s) permitted
- Must work individually
10% ATTENDANCE & PARTICIPATION
60% HMWK (must be submitted before deadline, no make-ups; graduate students
must discuss their graded HMWK solutions with instructor before the assigned grade
goes into effect)
30% FINAL EXAM (mandatory, cumulative, no make-ups)
F: [0, 60)
D: [60, 68)
C-: [68, 70) C: [70, 75) C+: [75, 78 )
B-: [78, 80) B: [80, 85) B+: [85, 88)
A-: [88, 90) A: [90, 100]
NOTE: No rounding; 89.99 = A-, etc.
1. Read about the material to be covered in class before coming to lecture.
2. Attend every lecture.
3. Ask questions.
4. Participate actively in discussions.
5. Re-read (or better re-work) your notes after class.
6.
7.
8.
9.
10.
11.
Do assigned homework.
Use a buddy system: find a friend with whom to discuss physics.
Think about physics on a regular basis.
Think about physics as much as possible.
Think about physics at all times.
If you decide to stay in academia, you will be competing against fanatics; so
prepare early.
12. If everything fails, consider dropping the class before the deadline and retaking it at a later time.
NOTE: In physics, learning can be frustrating and nonlinear. Often you have to work for a long time (many
days and even weeks) without feeling that you are making much progress. Then, suddenly, everything falls into
place and it all makes sense. But until the “click,” you can’t be sure how much time you need to “get it” and it’s
difficult to plan…
As you solve a physics problem, stop and ask yourself:
What (exactly) are you doing? Why are you doing it? How does it help you?
Spring 2015 Schedule
Week
1
Day
M
Date
Jan. 05
Reading
Topic
PART 1: MAGNETOSTATICS IN THE PRESENCE OF MATTER
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Jan. 06
Jan. 07
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Jan. 08
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M
Jan. 12
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Jan. 13
Jan. 14
p. 220
8.1.1
5.2.1
5.4.1,3
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Demos (cont.)
Graphical and calculational examples (cont.)
Coordinate independent definitions of divergence and
rotor
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ED: The meaning of current density j
ED: (Local) charge conservation & continuity equation
MS: Steady currents confined to finite volume
MS: Magnetic vector potential A
VC: The meaning of the Laplacian
MS: Formula for magnetic vector potential A
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MS: Restriction on j
MS: Magnetic dipole moment (preliminary discussion)
MS: Magnetic dipole moment of a planar loop with
current (preliminary discussion)
MS: Multipole expansion of the vector potential (up do
dipole - intro)
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R
F
Jan. 15
Jan. 16
ED: Classical electrodynamics overview
ED: Operational definition of electric & magnetic fields
ED: Maxwell’s equations in local & integral form (and
brief discussion of where they come from)
Lorentz-Heaviside force law
Demos
Graphical and calculational examples
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(cont.)
3
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Jan. 19
Jan. 20
Jan. 21
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Jan. 22
Jan. 23
F
Jan. 26
MLK Day
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4
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6.1.1-4
6.2.1-3
6.3.1-3
6.4.1-2
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Jan. 27
Jan. 28
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Jan. 29
Jan. 30
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M
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Feb. 02
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5
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Feb. 03
Feb. 04
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Feb. 05
Feb. 06
Feb. 09
VC: “Rotor of a vector product” formula
MS: Magnetic field of a magnetic dipole
MS: Magnetic field of a straight current (quick derivation
from Maxwell’s 4th equation)
MM: Ampere’s hypothesis
MS: Magnetic dipole moment of a plain loop with current
MS: Magnetic dipole moment of an orbiting electron in
the H-atom
MS: Some simple estimates
MECH: Review of work, energy, Work-kinetic-Energy
Theorem (WkET), the Law of Conservation of mechanical
Energy (LCE)
MS: Behavior of a magnetic dipole in the magnetic field:
torque, energy, force
MS: Conceptual introduction to magnetism in matter
MS: Demo: Diamagnetic response
MS: Magnetization, M(r)
MS: The starting formula for calculation of magnetic
vector potential A(r) of a magnetized object
MS: Magnetic field of an infinitely long solenoid with
current.
MS: Magnetic vector potential A(r) of a magnetized object
MS: Magnetic vector potential A(r) of a magnetized object
(cont.)
VC: Divergence Theorem; Modified Divergence Theorem
VC: Cylindrical coordinate system
MS: Prob. 6.7. Infinitely long uniformly magnetized
cylinder
MS: Prob. 6.8. Infinitely long non-uniformly circularly
magnetized cylinder (intro)
MS: A remark on old-fashioned magnetic core memory
MS: Prob. 6.8. Infinitely long non-uniformly circularly
magnetized cylinder (cont.)
MS: Maxwell’s equations in the presence of magnetics
MS: Paramagnetics, diamagnetics, magnetic susceptibility
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MS: Maxwell’s equations in the presence of magnetics
(cont.)
MS: Paramagnetics, diamagnetics, magnetic susceptibility
Example 1: Long solenoid filled with a magnetic
Example 2: Long straight current immersed in a magnetic
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(cont.)
PART 2: ELECTRODYNAMICS
7.1-3
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Review of Maxwell’s Equations in a vacuum
Faraday’s Law of Induction as a first step towards
electrodynamics
Lenz Rule
Demos
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Feb. 10
Feb. 11
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Feb. 12
Feb. 13
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Feb. 16
7
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8
Feb. 17
Feb. 18
Feb. 19
Feb. 20
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Faraday’s Law of Induction (cont.)
Units of various physical quantities
Demo: Eddy currents; a falling magnet
Some formal math stuff
Example: Induced electric field inside of a solenoid with
changing current (uniform time-dependent B-field)
Examples: Conceptual stuff related to Lentz Rule
Review of Maxwell’s Equations in a vacuum
Existence of processes in which charge accumulation is
possible
Demo 1: Camera flash based on a capacitor
Demo 2: Alternating current flows through the capacitor
Maxwell’s correction (1864): Displacement current
Complete system of Maxwell’s Equations (in a vacuum)
Complete system of Maxwell’s Equations (in a vacuum)
Local charge conservation as a consequence of ME
Consistency of Maxwell’s equations; differential
consequences*
Law of Conservation of Energy in the presence of the
electromagnetic field
Poynting’s Vector
Examples: Electromagnetic energy flow in various
situations
(cont.)
PART 3: ELECTROMAGNETIC RADIATION
(from slowly moving sources)
M
Feb. 23
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Feb. 24
Feb. 25
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EMF of a uniformly moving charge – Directly from the
wave equation (cont.)
R
F
Feb. 26
Feb. 27
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M
Mar. 02
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EMF of a uniformly moving charge – Directly from the
wave equation (cont.)
Retarded potentials
A note on the use of advanced potentials when boundary
conditions at a finite distance from source have to be
maintained.
Plane EM waves generated by a uniform time-dependent
planar current
9
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Mar. 03
Mar. 04
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Electromagnetic potentials
Gauge invariance
Differential equations for electromagnetic potentials
The Lorenz gauge
EMF of a uniformly moving charge – Directly from the
wave equation
Plane EM waves generated by a uniform time-dependent
planar current (cont.)
Intuitive understanding of radiation by an accelerated
charge
EMF of a linearly accelerated charge (graphical derivation
in the non-relativistic limit in the radiation zone)
10
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Mar. 05
Mar. 06
Mar. 09
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Mar. 11
Mar. 12
Mar. 13
Mar. 16
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Mar. 18
Mar. 19
Mar. 20
Mar. 23
Mar. 24
Mar. 25
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Mar. 26
Mar. 27
M
Mar. 30
13
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Spring Break
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EMF of a time-dependent point dipole (Model)
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EMF of a time-dependent point dipole (Potentials)
Withdrawal deadline
EMF of a time-dependent point dipole (E - field)
EMF of a time-dependent point dipole (B - field)
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EMF of a time-dependent point dipole (Poynting’s vector)
The blueness of the sky
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Jefimenko equations; alternative derivation of the dipole
radiation formulae (if time permits)
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Special Relativity as a Theory of Space and Time
Inertial reference frames, properties of space & time,
relativity principle
Derivation of Lorentz transformations (without Einstein’s
2nd Postulate)
PART 4: RELATIVITY
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Mar. 31
Apr. 01
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Apr. 02
Apr. 03
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Apr. 06
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Apr. 07
Apr. 08
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Apr. 10
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Apr. 24
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(cont.)
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Derivation of Lorentz transformations (without Einstein’s
2nd Postulate – cont.)
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Limiting speed
Velocity addition formula
Invariance of the limiting speed
Speed of light
Relativity of simultaneity
Relativistic time dilation
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Length contraction
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Invariant interval
Minkowski space-time
4-dimensional pseudo-Euclidean geometry
4-vectors, 4-tensors
Relativistic dynamics
4-momentum, 4-force
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Relative velocity
Applications to linear collisions
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Doppler’s effect
Relativistic electrodynamics
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TBA
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TBA
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Apr. 27
Apr. 28
Apr. 29
Apr. 30
May 01
May 04
May 05
May 06
May 07
May 08
May 11
May 12
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TBA
FINAL EXAM (8:00a-11:00a)
Grades due (5 PM)