Undergraduate Course: Classical Electrodynamics (PHYS11045)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 11 (Year 4 Undergraduate) 
Credits  10 
Home subject area  Undergraduate (School of Physics and Astronomy) 
Other subject area  None 
Course website 
http://www2.ph.ed.ac.uk/teaching/coursenotes/notes/list/108 
Taught in Gaelic?  No 
Course description  A course on the Maxwell equations, their Lorentz invariance, covariant formulation, and gauge invariance. Applications included classical radiation from time dependent charges and currents, and in particular accelerating charges. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  Yes 
Course Delivery Information

Delivery period: 2013/14 Semester 2, Available to all students (SV1)

Learn enabled: Yes 
Quota: None 

Web Timetable 
Web Timetable 
Class Delivery Information 
Workshop/tutorial sessions, as arranged. 
Course Start Date 
13/01/2014 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 11,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Additional Notes 

Breakdown of Assessment Methods (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Classical Electrodynamics  2:00  
Summary of Intended Learning Outcomes
On completion of the course the student should be able to:
1. understand origin of Maxwell's equations in magnetic and dielectric media
2. write down Maxwell's equations in linear, isotropic, homogeneous media
3. derive continuity conditions on electromagnetic fields at boundaries
4. derive electromagnetic wave solutions and propagation in dielectric and other media
5. understand transport of energy and Poynting vector
6. understand transport of momentum, Maxwell stress tensor and radiation pressure
7. show laws of geometric optics originate with Maxwell's equations at dielectric boundaries
8. calculate reflection and transmission coefficients for waves at dielectric boundaries
9. obtain scalar and vector potential equations in presence of sources
10. understand gauge invariance of Maxwell's equations, decoupling of scalar and vector potential equations in Lorentz gauge and corresponding solutions
11. solve for retarded potentials and electric and magnetic fields for simple problems involving timedependent chargecurrent distributions
12. understand the term radiation zone and derive angular distribution of and power emitted by a dipole
13. write down electromagnetic field tensor in covariant notation
14. derive fully covariant forms of Maxwell equations, Lorentz gauge condition and continuity equation
15. obtain Lorentz transformations for electric and magnetic fields and apply to simple cases
16. show the stressenergymomentum tensor components are energy density, Poynting vector and Maxwell stress tensor
17. derive LienardWiechert potentials for a moving point charge
18. derive corresponding electric and magnetic fields
19. show that acceleration of the charge gives electromagnetic radiation
20. apply to cases of charges: slowly accelerating at low velocities; undergoing acceleration collinear with velocity, in a circular orbit (synchrotron radiation).

Assessment Information
Degree Examination, 100% 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
* Electrodynamics: Maxwell's equations, charge, energy and momentum conservation, the electromagnetic potentials, electromagnetic radiation and its generation, electric and magnetic dipole radiation.
* Relativity: Lorentz transformations, 4vectors, relativistic dynamics, the covariant formulation of Maxwell's equations, gauge invariance, magnetism as a relativistic phenomenon, the stressenergy tensor.
* Accelerating charges: covariant Green's functions, the LienardWiechert potential, their associated fields, synchotron radiation, Larmor formula and the AbrahamLorentz equation.
* Action principles: for point particles, scalar fields, vector fields, Noether's theorem, charge and energymomentum conservation, the Yukawa potential, radiation vs matter.

Transferable skills 
Not entered 
Reading list 
D.J. Griths, Introduction to Electrodynamics, 3rd Edition, Prentice Hall 1999. 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  CED 
Contacts
Course organiser  Prof Donal O'Connell
Tel:
Email: Donal.O'Connell@ed.ac.uk 
Course secretary  Miss Paula Wilkie
Tel: (0131) 668 8403
Email: Paula.Wilkie@ed.ac.uk 

