Undergraduate Course: Electromagnetism (PHYS09060)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 9 (Year 3 Undergraduate) 
Availability  Available to all students 
SCQF Credits  20 
ECTS Credits  10 
Summary  This is a twosemester course, the first covering timeindependent and timedependent properties of electric and magnetic fields leading to the vector calculus formulation of Maxwell's Equations and the derivation of electromagnetic waves in vacuo and in media. The second semester covers the electromagnetic properties of waves including propagation, polarisation, interference and diffraction with example from radio wave, optics and xray diffraction.

Course description 
Electromagnetism (20 lectures)
 Integral and differential forms of Gauss's Law. Examples of 1D, 2D, 3D charge distributions.
 Potential. Poisson's Equation. Calculation of electric fields.
 Uniqueness theorem. Solution of electrostatic problems. Method of images.
 Dipole field. Quadrupole field. Multipole expansion.
 Electrostatic boundaries. Polarisation in dielectrics. Surface charges.
 BiotSavart Law. Magnetic vector potential. Calculation of magnetic fields.
 Integral and differential forms of Ampere's Law. Examples of 1D, 2D current distributions.
 Magnetostatic boundaries. Magnetisation. Surface currents.
 Timevarying fields. Faraday's Law. Induction.
 Calculation of self and mutual inductance.
 Displacement current. Maxwell's equations and their solution in vacuo.
 Introduction to Electromagnetic waves.
 Solution of Maxwell's equations in dielectrics.
 Continuity theorem. Conservation laws.
 Poynting vector. Energy storage & transport by waves.
Electromagnetic Waves & Optics (20 lectures)
 Reflection & transmission of waves at boundaries.
 Polarisation states. Polarisers. Malus's Law. Measurement of polarisation.
 Derivation of Fresnel Equations. Brewster's angle.
 Interference. Double slits. Newton's rings. Michelson/TwymanGreen interferometers.
 Multibeam interference. FabryPerot. Antireflection coatings. Dielectric stacks.
 Single slit diffraction. Diffraction grating. Applications in spectroscopy. Xray diffraction.
 Diffraction from circular aperture. Resolution limit. Aberrations.
 Dispersion of Electromagnetic waves. Ionosphere.
 Waves in conductors. Absorption. Skin depth.
 Waveguides & Cavities.
 Coherence. Lasers.
 Basic Fourier optics. Optical transfer function. Concept of spatial frequency.

Information for Visiting Students
Prerequisites  None 
Course Delivery Information

Academic year 2014/15, Available to all students (SV1)

Quota: None 
Course Start 
Full Year 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 44,
Seminar/Tutorial Hours 44,
Summative Assessment Hours 8,
Revision Session Hours 1,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
99 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Coursework 20%
Examination 80% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Electromagnetism (PHYS09060)  3:00  
Learning Outcomes
Upon successful completion of this course it is intended that a student will be able to:
1)State the integral laws of electromagnetism and state and derive Maxwell's equations for charges and currents in a vacuum
2)Define and explain charge and current densities (in bulk and on surfaces and lines), and conductivity
3)Define, and use the concepts of electric and magnetic dipoles; calculate the fields from dipoles and forces and torques on them
4)Define and explain: polarisation and magnetisation; the fields D, H, E and B; the relation between E, B and the force on a particle; polarisation charges and magnetisation currents; boundary conditions on fields at interfaces between media; Maxwell's equations in media
5)Define and explain in atomic terms: the response of linear media; relative permittivity and permeability; their relation to the electromagnetic energy density; nonlinear media such as ferromagnets
6)Formulate and solve boundaryvalue problems using: superposition methods; uniqueness principles; the method of images; qualitative reasoning based on field lines; the equations of BiotSavart, Faraday, Ampere, Gauss, Laplace and Poisson
7)Formulate and solve with vector calculus problems of static and timevarying electrical and magnetic fields
8)Derive and apply the concepts of: Maxwell's displacement current; the continuity equation; self and mutual inductance; Poynting's vector; energy flux; radiation pressure
9)Derive and explain electromagnetic radiation using planewave solutions of Maxwell's equations; apply these to problems of intrinsic impedance, attenuation, dispersion, reflection, transmission, evanescence, and the skin effect in conductors; derive and explain total internal reflection, polarisation by reflection.
10)Explain and utilise the properties of the electric scalar potential and the magnetic vector potential.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  EMag 
Contacts
Course organiser  Prof Martin Evans
Tel: (0131 6)50 5294
Email: M.Evans@ed.ac.uk 
Course secretary  Yuhua Lei
Tel: (0131 6) 517067
Email: yuhua.lei@ed.ac.uk 

