Unit

Topic

Domain

Hours as per UGC

I

ELECTROSTATICS
 Electric Field, Gauss Law, Differential form of Gauss Law
 Electromagnetic scalar and vector potentials
 Maxwell’s equations in terms of scalar and vector potentials
 Non uniqueness of Electromagnetic potentials and concept of Gauge.
 Lorentz gauge and coulomb gauge
 Boundary value problem
 Poisson and Laplace equations
 Solution of Laplace equation in Rectangular coordinates
 Green’s Theorem
 Dirichlet and Neumann boundary conditions
 Formal solution of boundary value problem with Green’s function
 Electrostatic potential energy and energy density.

Desirable to Know
Must Know

12

II

METHOD OF IMAGES
 Point charge near an infinite good conducting plane
 Point charge in the presence of grounded conducting sphere
 Point charge in the presence of charged, insulated and conducting sphere
 Point charge near a conducting sphere at fixed potential
 Conducting sphere in a uniform electric field.

Must Know

10

III

ELECTROMAGNETIC WAVES AND RADIATION BY MOVING CHARGES
 Wave equation
 Reflection and Refraction of electromagnetic waves at a plane interface between dielectrics
 Wave propagation in a nonconducting media
 Wave propagation in a conducting media.
 Fresnel relations, Brewster’s angle
 Wave guides: TE and TM modes in rectangular wave guides
 Moving point charges
 Retarded potentials
 Lienard Wiechart potentials for a point charge
 The fields of moving charge particles
 Total power radiated by a point charge
 Larmor’s formula and its relativistic generalization.

Desirable to Know
Must Know

12

IV

PLASMA PHYSICS
 Elementary concepts, Derivation of moment Equations from Boltzmann Equation
 Plasma Oscillation
 Theory of simple oscillation
 Electron oscillation in a plasma
 Electronic oscillations when the motion of ions is also considered
 Derivation of plasma oscillation using Maxwell’s equation
 Propagation of Electromagnetic waves in plasma containing a magnetic field
 Quasi neutrality of plasma
 Debye shielding distance
 Plasma production and heating of the plasma
 Confinement of plasma, plasma instabilities.

Must Know

11
