PAPER VII(THEORY) (60 periods) Paper Code: PHYH305

ELECTROSTATICS

Potential due to a system of charges, Multipole expansion of an arbitrary distribution of charges (Monopole, dipole and quardrupole), Arbitrary volume distribution of dipoles and corresponding volume and surface distribution of charge . Electrical polarization and displacement relation, Electronic, Ionic, and Orientational polarisability, Clausius – Mossotti relation, Langevin -Debye equation. Energy density of a general electric field.

Poisson’s and Laplace’s equations and its application to Cartesian, Spherical and Cylindrical Coordinate systems, Calculation of Electric field(applying Laplace’s equation) due to a point charge near (i) an infinite conducting sheet (ii) a conducting grounded sphere, Concept of electrical images, Boundary conditions at the interface of two dielectric media and their application to a dielectric sphere in a uniform electric field.

SPECIAL THEORY OF RELATIVITY

Galilean transformation, Inertial frame of reference, Michelson-Morley experiment, Postulates of special theory of relativity, Lorentz transformation, Four-vector, Length contraction and time dilation, Minkowski’s space, Lorentz-Fitzgerald contraction, Relativistic Doppler effect, Addition of velocities, Velocity dependence of mass, Mass-energy equivalence, Lorentz covariance of Maxwell’s electromagnetic field equations.

REERENCE BOOKS:

1. Introduction to Special Relativity by Resnick.

2. Theory of relativity by M.Ray

3. Introductuion of relativity ,Rosser

4. Relativistic Mechanics by Satya Prakash.

5. Theory of Relativity by Moller

6. Electricity & Magnetism by Tayal, D.C.

7. Classical Electricity & Magnetism by Panofsky & Phillips.

8. Electrodynamics by Griffith.

9. Electricity & Magnetism by Tewari, K.K.

10. Electromagnetic Theory & Electrodynamics by Satyaprakash

PAPER VIII (THEORY) (60 periods) Paper Code: PHYH306

ELECTROMANETIC THEORY

Maxwell’s field equations in vacuum and in linear isotropic media, Boundary conditions on the fields at interfaces, Electromagnetic scalar and vector potentials, Gauge invariance, Energy conservation and Poynting’s vector, Plane waves in vacuum and in continuous media, Reflection and refraction of electromagnetic waves at interface of two dielectric media, Fresnel’s laws, Retarded potential, Lenard-Weichert potential, Radiation from an accelerated charged particle with acceleration along and perpendicular to the direction of velocity, Propagation of electromagnetic waves in conducting medium, Optical properties of metals, Electromagnetic theory of dispersion.

MAGNETISM

Boundary conditions at the interface of two media and application to a sphere of magnetic material placed in a uniform magnetic induction, Demagnetizing factor, Magnetic hysteresis, Hysteresis loss and measurement by magnetometer and ballistic galvanometer method, Origin of magnetic moment, Gyromagnetic ratio and gyromagnetic anomaly, Stern-Gerlach experiment, Langevin’s theory of dia-magnetism and para- magnetism, Weiss theory of ferromagnetism.

REERENCE BOOKS:

1. Electrodynamics by Griffith.

2. Electromagnetic Theory by Chopra & Agarwal.

3. Electromagnetic Theory & Electrodynamics by Satya Prakash.

4. Electromagnetic Theory by Gupta & Kumar.

5. Optics by B. K. Mathur.

6. Electricity & Magnetism by Tayal, D.C.

7. Electricity & Magnetism by Tewari, K.K.

8. Classical Electricity & Magnetism by Panofsky & Phillips.

9. Magnetism by Dignoux & Schlenkev

PAPER IX Paper Code: PHYH30P

LAB SESSION

(i) Calibration of Pt-resistance thermometer using Callender-Griffith’s bridge.

(ii) Calibration of a thermo-couple thermometry.

(iii) Determination of wavelength of given light by plane transmission grating and identification of gas in a discharge tube.

(iv) Determination of Cauchy’s constant.

(v) Use of polarimeters.