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PHY554: Electrodynamics I 3 CH (45L+15T) Nature of the course: Theory Full Marks: 75 Pass Marks: 37.5 Course Description: This course is aimed to provide fundamental knowledge about the electric and magnetic

theories and their applications. Objectives: The objective of this course is to train the students to use the methods in formulating and solving

the problems related to electric potential and fields. Course Content:

1. Introduction of Electrostatics: [2 hours] 1.1 Review of Electrostatics, 1.2 Green’s Theorem and Green Function, 1.3 Formal Solution of Electrostatic Boundary-Value Problem with Green Function.

2. Boundary – Value Problems in Electrodynamics: [6 hours]

2.1 Green Function for the Sphere: General Solution for the Potential, 2.2 Conducting Sphere with Hemispheres at Different Potentials, 2.3 Boundary Value Problems with Azimuthal Symmetry, 2.4 Additional Theorem for Spherical Harmonics, 2.5 Expansion of Green Function in Spherical coordinates.

3. Multipoles, Electrostatics of Macroscopic Media, Dielectrics: [6 hours] 3.1 Multipole Expansion: Monopole, Dipole and Quadrupole, 3.2 Multipole Expansion of the Energy of a Charge Distribution in an External Field, 3.3 Elementary Treatment of Electrostatics with Ponderable Media, 3.4 Boundary Value Problems with Dielectrics: a Point Charge Embedded in a Semi-infinite,

Dielectric, Dielectric Sphere in a Uniform Electric Field.

4. Introduction to Magnetostatics: [9 hours] 4.1 Vector Potential, 4.2 Magnetic Fields of a Localized Current Distribution, Magnetic Moment, 4.3 Force, Torque on and Energy of a Localized current Distribution in an External Magnetic

Induction, 4.4 Macroscopic Equations, Boundary Conditions on B and H, 4.5 Methods of Solving Boundary Value Problems in Magnetostatics, 4.6 Uniformly Magnetized Sphere, 4.7 Magnetized Sphere in an External Field: Permanent Magnets, 4.8 Energy in Magnetic Field.

5. Maxwell’s Equations: [6 hours] 5.1 Review of Maxwell’s Displacement current; Maxwell Equation, 5.2 Vectors and Scalars Potentials, 5.3 Gauge Transformations, Lorentz Gauge, Coulomb Gauge, 5.4 Green Functions for the wave Equation,

M.Sc. (Physics) curriculum, Tribhuvan University 2073

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5.5 Poynting’s Theorem and Conservation of Energy and Momentum for a System of Charged Particles and Electromagnetic fields.

6. Plane Electromagnetic Waves, Wave Propagation and Waveguides: [6 hours]

6.1 Plane Waves in a Nonconducting Medium, 6.2 Linear and Circular Polarization; stokes Parameters, 6.3 Frequency Dispersion Characteristics of Dielectrics, Conductors, and Plasmas, 6.4 Simplified Model of Propagation in the Ionosphere and Magnetosphere, 6.5 Waveguides, 6.6 Modes of rectangular Waveguides.

7. Special Relativity [10 hours]

7.1 Review of Lorentz transformations and addition of velocities, 7.2 Light cone, proper time and time dilation, 7.3 Matrix representation of Lorentz transformations, infinitesimal generators, 7.4 Thomas precession, 7.5 Covariance of electromagnetic fields, 7.6 Transformation of electromagnetic fields.

Text Book:

1. Jackson J. D. – Classical Electrodynamics, 3rd edition, John Wiley & Sons (1980).

Reference Texts:

1. Panofsky, W. K. H. and Philips – Classical Electricity and Magnetism, Addison – Wesley Publishing Company, Inc USA (1970).

2. Griffith D.J. – Introduction to Electrodynamics, Prentice Hall of India Private Limited, New Delhi, (2002).

3. Reitz J. R., Milford F. J, Christy R. W. –Foundations pf Electromagnetic theory, Narosa Publishing House, New Delhi, 3rd edition (1998).