IGNOU MPH 7 SOLVED ASSIGNMENT

Ques 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.

Ques 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.

Ques 3.

Derive the electromagnetic wave equation for  and  fields in vacuum starting from Maxwell's equations. Discuss the general properties of plane electromagnetic waves, including their speed and polarisation.

Ques 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.

Ques 5.

A plane electromagnetic wave of frequency  is normally incident on a medium with relative permittivity . Calculate the wavelength of the wave in the medium.

Ques 6.

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.

Ques 7.

Describe the principle of guided wave propagation in a rectangular waveguide. Derive the expression for the cut-off frequency of  modes in terms of waveguide dimensions.

Ques 8.

Starting from the scalar and vector potentials, derive the expression for the electromagnetic fields produced by a small oscillating electric dipole.

Ques 9.

Obtain the Larmor formula for the total radiated power of a non-relativistic accelerating charge and explain its significance.

Ques 10.

Explain the Lorentz transformation between two inertial frames. Obtain the transformation laws for the electric and magnetic fields.

Ques 11.

A particle with charge  moves with velocity  perpendicular to a uniform magnetic field of magnitude . Calculate the magnetic force acting on the particle. 
 

Ques 12.

Dispersion of electromagnetic waves in a medium.

Ques 13.

Skin depth in conductors and its physical significance.

Ques 14.

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.

Ques 15.

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.

Ques 16.

Derive the electromagnetic wave equation for  and  fields in vacuum starting from Maxwell's equations. Discuss the general properties of plane electromagnetic waves, including their speed and polarisation.

Ques 17.

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.

Ques 18.

A plane electromagnetic wave of frequency  is normally incident on a medium with relative permittivity . Calculate the wavelength of the wave in the medium.

Ques 19.

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.

Ques 20.

Describe the principle of guided wave propagation in a rectangular waveguide. Derive the expression for the cut-off frequency of  modes in terms of waveguide dimensions.

Ques 21.

Starting from the scalar and vector potentials, derive the expression for the electromagnetic fields produced by a small oscillating electric dipole.

Ques 22.

Obtain the Larmor formula for the total radiated power of a non-relativistic accelerating charge and explain its significance.

Ques 23.

Explain the Lorentz transformation between two inertial frames. Obtain the transformation laws for the electric and magnetic fields.

Ques 24.

A particle with charge  moves with velocity  perpendicular to a uniform magnetic field of magnitude . Calculate the magnetic force acting on the particle. 
 

Ques 25.

Dispersion of electromagnetic waves in a medium.

Ques 26.

Skin depth in conductors and its physical significance.

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