**PH-306 Electromagnetic and Relativity Theory (Pre-req. PH-302) **

- Electromotive force and motional emf, Faraday’s law, induced electric field, energy stored in electric and magnetic fields.
- Current conservation, modification to Ampere’s law, magnetic charge, magnetic monopoles, Maxwell’s equations, gauge invariance.
- Conservation of momentum, Poynting’s theorem, Newton’s third law in electrodynamics, Newton’s third law in electrodynamics, Maxwell’s stress tensor, angular momentum of fields.
- Magnetic and electric polarizabilities, Maxwell equations in a medium, dielectrics and magnetic materials, boundary conditions.
- Wave equation, general solution, Fourier expansion, reflection and transmission of plane waves, electromagnetic waves in vacuum.
- Propagation of electromagnetic waves in conducting media and in ionized gases, reflection and transmission at normal and oblique incidence, absorption and dispersion of electromagnetic waves in a conductor.
- Inertial frames, postulates of special relativity, invariant interval, Lorentz transformation, time dilation and length contraction, relativistic Doppler shift.
- Relativistic energy and momentum, four-vectors, kinematics of collisions, centre-of-mass, rapidity and pseudo rapidity.
- Four vector potentials and currents, covariant form of Maxwell equations, field strength tensor and constructed invariants, plane-wave solutions of Maxwell equations, transversality.

**Recommended texts:**

*Introduction to Electrodynamics*, by David J. Griffiths, publisher: Prentice-Hall; 3rd Edition, (1999).*Electromagnetic Fields and Waves*, by Paul Lorrain and Dale R. Corson, publisher: S. K. Jain for CBS publishers; 2nd Edition, (2003).