Define the Poynting vector. Starting from Maxwell's equations, derive the Poynting theorem and explain its physical interpretation in terms of energy conservation in electromagnetic fields.
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Skin depth in conductors and its physical significance.
Starting from the scalar and vector potentials, derive the expression for the electromagnetic fields produced by a small oscillating electric dipole.
Dispersion of electromagnetic waves in a medium.
Using boundary conditions on the electric and magnetic fields, derive the Fresnel reflection and transmission coefficients for a plane wave incident normally on a boundary between two dielectric media.
A particle with charge moves with velocity
perpendicular to a uniform magnetic field of magnitude
. Calculate the magnetic force acting on the particle.
Show that if the electric field of the incident wave is normal to the plane of incidence, the electric fields of the reflected and transmitted waves are also normal to the plane of incidence.
Obtain the Larmor formula for the total radiated power of a non-relativistic accelerating charge and explain its significance.