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M.Sc Physics Syllabus IVth Semester-General Papers
Course 4.1 Classical Electrodynamics.
Unit –I Introduction to Electrostatics : Laws of electrostatics in vector notation coulomb’s law, Gauss’s law in integral and differential forms. Scalar potential. Surface distribution of charges and dipoles and discontinuity in the field and potential. Poisson’s and Laplace’s equations. Boundary conditions and uniquencess theorem. Potential energy and energy density of electrostatic field. Method of images, potential due to a point charge in presence of a grounded conducting sphere. Multipole expansion for potential, Multipole expansion of the energy in an external field. Dipole-dipole interaction. 12hr
Unit-II Electrostatics of Dielectrics : Elementary treatment of electrostatics in dielectrics : dielectric placed in an electric field, polarization, electric displacement, Gauss’s law, electric susceptibility, dielectric constant, Boundary conditions for a simple dielectric. Molecular polarizability and electric susceptibility, Clausius-Mossotti equation. Models for molecular polarizability, temperature dependence of molecular polarizability of polar and non-polar substance. Electrostatic energy in dielectric media. 12h
Unit –III Magnetostatics: Introduction and definitions, Biot and Savart law, differential equations of magnetostatics and Ampere’s law. Vector potential and its properties. Magnetic fields of a localized current distribution, magnetic moment, Force and torque on and energy of a localized current distribution in an external magnetic induction, macroscopic equations, boundary conditions on B and H. Magnetic scalar potential. Energy in magnetic field. 12hr
Unit –IV Electrodynamics : Faraday law of induction, displacement current, Maxwell’s equations. Vector and scalar potentials. Gauge transformations, Lorentz gauge, Coulomb gauge. Poynting’s theorem and
Course 4.1 Classical Electrodynamics.
Unit –I Introduction to Electrostatics : Laws of electrostatics in vector notation coulomb’s law, Gauss’s law in integral and differential forms. Scalar potential. Surface distribution of charges and dipoles and discontinuity in the field and potential. Poisson’s and Laplace’s equations. Boundary conditions and uniquencess theorem. Potential energy and energy density of electrostatic field. Method of images, potential due to a point charge in presence of a grounded conducting sphere. Multipole expansion for potential, Multipole expansion of the energy in an external field. Dipole-dipole interaction. 12hr
Unit-II Electrostatics of Dielectrics : Elementary treatment of electrostatics in dielectrics : dielectric placed in an electric field, polarization, electric displacement, Gauss’s law, electric susceptibility, dielectric constant, Boundary conditions for a simple dielectric. Molecular polarizability and electric susceptibility, Clausius-Mossotti equation. Models for molecular polarizability, temperature dependence of molecular polarizability of polar and non-polar substance. Electrostatic energy in dielectric media. 12h
Unit –III Magnetostatics: Introduction and definitions, Biot and Savart law, differential equations of magnetostatics and Ampere’s law. Vector potential and its properties. Magnetic fields of a localized current distribution, magnetic moment, Force and torque on and energy of a localized current distribution in an external magnetic induction, macroscopic equations, boundary conditions on B and H. Magnetic scalar potential. Energy in magnetic field. 12hr
Unit –IV Electrodynamics : Faraday law of induction, displacement current, Maxwell’s equations. Vector and scalar potentials. Gauge transformations, Lorentz gauge, Coulomb gauge. Poynting’s theorem and