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IGNOU MPH-07 (January 2026 – December 2026) Assignment Questions
PART A
1. Write Maxwell’s equations in both differential and integral forms. Explain the physical significance of the displacement current in Maxwell’s modification of Ampere’s law.
2. 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.
3. Derive the electromagnetic wave equation for E B
and fields in vacuum starting from Maxwell’s equations. Discuss the general properties of plane electromagnetic waves, including their speed and polarisation.
4. 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.
5. a) A plane electromagnetic wave of frequency 1 GHz is normally incident on a medium with relative permittivity 4. r Calculate the wavelength of the wave in the medium.
b) 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.
PART B
6. Describe the principle of guided wave propagation in a rectangular waveguide. Derive the expression for the cut-off frequency of TEmn modes in terms of waveguide dimensions.
7. a) Starting from the scalar and vector potentials, derive the expression for the electromagnetic fields produced by a small oscillating electric dipole.
b) Obtain the Larmor formula for the total radiated power of a non-relativistic accelerating charge and explain its significance.
8. a) Explain the Lorentz transformation between two inertial frames. Obtain the transformation laws for the electric and magnetic fields.
b) A particle with charge 1 mC moves with velocity v 0.8c perpendicular to a uniform magnetic field of magnitude 1 mT. Calculate the magnetic force acting on the particle.
9. Write short notes on:
a) Dispersion of electromagnetic waves in a medium.
b) Skin depth in conductors and its physical significance.
