Write down the electromagnetic wave equation and its general solution with clear meaning of terms used.
Prove Biot-Savart law and derive an expression for the magnetic field intensity at a distance r from a straight current-carrying wire of finite length. What will be the magnetic field intensity when length is very long?
Derive an expression for the intensity distribution due to Fraunhofer diffraction at a single slit and show that relative intensities of successive maxima are nearly 1:4/9 : 4/25 : 4/49.
Write the equation for conservation of charge in a medium.
Show that Maxwell's equations for an electromagnetic field can be written as a pair of inhomogeneous wave equations involving scalar and vector potentials.
Deduce expressions for electric and magnetic fields of an oscillating electric dipole.