
B.S. ELECTROMAGNETISMII [PHYS621] SYLLABUS

Electrodynamics: Electromotive force: Ohm’s
law, electromotive force, motional emf, electromagnetic induction: Faraday’s
law, the induced electric field, inductance, energy in magnetic fields,
Maxwell’s equations: electrodynamics before Maxwell, how Maxwell
fixed Ampere’s law, Maxwell’s equations, magnetic charges,
Maxwell’s equations in matter, boundary conditions.

Conservation laws: Charge and energy: the continuity
equation, Poynting’s theorem, momentum: Newton’s third
law in electrodynamics, Maxwell’s stress tensor, conservation
of momentum, angular momentum.

Electromagnetic waves: Waves in one dimension: the
wave equation, sinusoidal waves, boundary conditions; reflection and
transmission, polarization, electromagnetic waves in vacuum: the wave
equation for E and B, monochromatic plane waves, energy and momentum
in electromagnetic waves, electromagnetic waves in matter: propagation
in linear media, reflection and transmission at normal incidence,
reflection and transmission at oblique incidence, absorption and dispersion:
electromagnetic waves in conductors, reflection at a conducting surface,
the frequency dependence of permittivity, guided waves: wave guides,
the waves in a rectangular wave guide, the coaxial transmission line.

Potentials and Fields: the potential formulation:
scalar and vector potentials, gauge transformations, Coulomb gauge
and Lorentz gauge, continuous distributions: retarded potentials,
Jefimenko’s equations, point charges: LienardWiechert potentials,
the field of a moving point charge.

Radiation: dipole radiation: what is radiation,
electric dipole radiation, magnetic dipole radiation, radiation from
an arbitrary source, point charges: power radiated by a point charge,
radiation reaction, the physical basis of the radiation reaction.

Electrodynamics and relativity: the special theory
of relativity: Einstein’s postulates, the geometry of relativity,
the Lorentz transformations, the structure of spacetime, relativistic
mechanics: proper time and proper velocity, relativistic energy and
momentum, relativistic kinematics, relativistic dynamics, relativistic
electrodynamics: magnetism as a relativistic phenomenon, how the filed
transform, the field tensor, electrodynamics in tensor notation, relativistic
potentials.

Recommended Text:
1. D. J. Griffiths, “Introduction to Electrodynamics”,
3rd Edition, Prentice Hall (1999).
2. Mathew N. O. Sadiku, ”Elements of Electromagnetics”,
2nd Edition, Oxford University Press (1995).
3. F. Melia, “ Electrodynamics”, University of Chicago
Press, (2001).
4. Hearld J and W. MullerKristen, “ Electrodynamics”,
World Scientific Publishing (2004).



