PHYS30441 Electrodynamics (M) Introduction L1 Gavin Smith Room 4.12 - - PowerPoint PPT Presentation

PHYS30441 Electrodynamics (M) Introduction L1

Gavin Smith Room 4.12 gavin.smith@manchester.ac.uk http://nucpc100.ph.man.ac.uk/electrodynamics/

Syllabus

• 0. Introduction and Overview (1 Lecture)

1. Electromagnetic Field Equations (7 lectures) Maxwell's equations and wave solutions. Definition of scalar and vector potentials. Poisson's equation and electro- and magnetostatics; Multipole expansions. Electrodynamics in Lorentz Gauge; The inhomogeneous wave equation and the retarded time.

• 2. Accelerating Charges (6 lectures)

Lienard-Wiechert potentials; Power radiated from an arbitrarily moving charge. Larmor's power formula; Synchrotron radiation; Bremsstrahlung.

• 3. Harmonically Varying Sources (2 lectures)

Multipole radiation; Electric (Hertzian) and magnetic dipole radiation; Rayleigh and Thomson scattering.

• 4. Electromagnetism and Relativity (6 lectures)

Four vectors and tensors; Covariant and contravariant formalism of Lorentz transformations; Relativistic dynamics. Consistency of Maxwell's equations and relativity. Electromagnetic field tensor and electrodynamics in covariant form.

We will use SI units but Gaussian units are common in the literature

Units

Laplacian Divergence Theorem Stokes’ Theorem Divergence of Curl, Curl of Grad both zero See Supplementary Maths Example Sheet 1

Introduction to Electrodynamics Griffiths (SI) Principles of Electrodynamics Schwartz (Gaussian) Classical Electromagnetic Radiation Marion and Heald (Gaussian) (now Dover) Classical Electrodynamics Jackson (SI & Gaussian)

Charles Augustin de Coulomb Coulomb’s Law published 1785 (John Robinson 1769 unpublished) Henry Cavendish 1773 No charge on inner globe Inverse square law Torsion Balance Coulomb