Undergraduate Course: Foundations of Electromagnetism (PHYS09050)

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	10	ECTS Credits	5
Summary	This is a one-semester course, covering time-independent and time-dependent properties of electric and magnetic fields leading to the vector calculus formulation of Maxwell's Equations and the derivation of electro-magnetic waves in vacuo and in media.
Course description	- 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. - Biot-Savart 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. - Time-varying 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.

Entry Requirements (not applicable to Visiting Students)
Pre-requisites	Students MUST have passed: Dynamics and Vector Calculus (PHYS08043)	Co-requisites
Prohibited Combinations	Students MUST NOT also be taking Electromagnetism (PHYS09060)	Other requirements	None
Additional Costs	None

Information for Visiting Students
Pre-requisites	None

Course Delivery Information

Academic year 2015/16, Available to all students (SV1)		Quota: None
Course Start	Semester 1
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 22, Summative Assessment Hours 2, Revision Session Hours 1, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 51 )
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 S1 (December)	Foundations of Electromagnetism		2:00

Academic year 2015/16, Part-year visiting students only (VV1)		Quota: None
Course Start	Semester 1
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 22, Summative Assessment Hours 2, Revision Session Hours 1, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 51 )
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 S1 (December)			2:00

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 boundary-value problems using: superposition methods; uniqueness principles; the method of images; qualitative reasoning based on field lines; the equations of Biot-Savart, Faraday, Ampere, Gauss, Laplace and Poisson 7)Formulate and solve with vector calculus problems of static and time-varying 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 plane-wave 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.