Course Outline
Electromagnetism
ELECTROMAGNETISM
Electrostatics
- Currents and the conservation of charge. Lorentz force law and Maxwell’s equations. Gauss’s law. Application to spherically symmetric and cylindrically symmetric charge distributions. Point, line and surface charges. Electrostatic potentials; general charge distributions, dipoles. Electrostatic energy. Conductors. [4]
Magnetostatics
- Magnetic fields due to steady currents. Amp`ere’s law. Simple examples. Vector potentials and the Biot– Savart law for general current distributions. Magnetic dipoles. Lorentz force on current distributions and force between current-carrying wires. [3]
Electrodynamics Faraday’s law of induction for fixed and moving circuits. Ohm’s law. Plane electromagnetic waves in vacuum, polarization. Electromagnetic energy and Poynting vector. [4]
Electromagnetism and relativity
- Review of special relativity; tensors and index notation. Charge conservation. 4-vector potential, gauge transformations. Electromagnetic tensor. Lorentz transformations of electric and magnetic fields. Maxwell’s equations in relativistic form. Lorentz force law. [5]
Appropriate books
- D.J. Griffiths Introduction to Electrodynamics. Pearson 2013 E.M. Purcell and D.J. Morin Electricity and Magnetism. Cambridge University Press 2013
- A. Zangwill Modern Electromagnetism. Cambridge University Press 2012
- J.D. Jackson Classical Electrodynamics. Wiley 1975
- P. Lorrain and D. Corson Electromagnetism, Principles and Applications. Freeman 1990
- R. Feynman, R. Leighton and M. Sands The Feynman Lectures on Physics, Vol 2. Basic Books 2011
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