# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

# Undergraduate Course: Electromagnetism (PHYS09060)

 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 two-semester course, the first 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. The second semester covers the electromagnetic properties of waves including propagation, polarisation, interference and diffraction with example from radio wave, optics and x-ray 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. - 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. 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/Twyman-Green interferometers. - Multi-beam interference. Fabry-Perot. Anti-reflection coatings. Dielectric stacks. - Single slit diffraction. Diffraction grating. Applications in spectroscopy. X-ray 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.
 Pre-requisites Students MUST have passed: Dynamics and Vector Calculus (PHYS08043) AND Physics of Fields and Matter (PHYS08046) Co-requisites Prohibited Combinations Students MUST NOT also be taking Electromagnetism and Relativity (PHYS10093) Other requirements None Additional Costs None
 Pre-requisites None High Demand Course? Yes
 Academic year 2015/16, 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
 On completion of this course, the student will be able to: State the integral laws of electromagnetism and state and derive Maxwell's equations.Formulate and solve with vector calculus problems of static and time-varying electrical and magnetic field including utilisation of the electric scalar potential and the magnetic vector potential.Derive and apply the concepts of: Maxwell's displacement current; the continuity equation; self- and mutual inductance; Poynting's vector; energy flux; radiation pressure.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.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.
 None
 Graduate Attributes and Skills Not entered Keywords EMag
 Course organiser Dr Jamie Cole Tel: (0131 6)50 5999 Email: R.J.Cole@ed.ac.uk Course secretary Mrs Siobhan Macinnes Tel: (0131 6)51 3448 Email: Siobhan.MacInnes@ed.ac.uk
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