Page 19 - CatalogNEP-PS

LEARNING OUTCOMES:

After completing this course, student will be able to,
 Apply Coulomb‘s law to line, surface, and volume distribution of charges.
 Apply Gauss‘s law of electrostatics to distribution of charges
 Solve boundary value problems using method of images
 Understand the concept of electric polarization and bound charges in dielectric materials
 Understand and calculate the vector potential and magnetic field of arbitrary current
distribution
 Understand the concept of bound currents and magnetic susceptibility in magnetic
materials
 Understand the impact of time-varying magnetic and electric fields in order to comprehend
the formulation of Maxwell‘s equations.

THEORY (45 Hours)

UNIT 1 (15 Hours)

Electric Field and Electric Potential:Electric Field and Electric Potential for continuous charge
distributions: Electric field due to a line charge, surface charge and volume charge, Divergence of
electric field using the Dirac Delta function, Curl of electric field, Electric field vector as negative
gradient of scalar potential, Ambiguities of electric potential, Differential and integral forms of
Gauss‘s Law, Application of Gauss‘s law to various charge distributions having spherical,
cylindrical and planar symmetries.
Boundary Value Problems in Electrostatics: Formulation of Laplace‘s and Poisson equations, First
and second uniqueness theorems, Solutions of Laplace and Poisson equations in onedimension
using spherical and cylindrical coordinate systems and solutions in three-dimensional using
Cartesian coordinates applying separable variable technique, Electrostatic boundary conditions for
conductors and capacitors.
UNIT 2 (11 Hours)

Electrostatic energy of system of charges: Electrostatic energy of a charged sphere.Conductors in
an electrostatic Field. Surface charge and force on aconductor.Capacitance of a system of charged
conductors.Parallel-plate capacitor.Capacitance of an isolated conductor. Method of Images and
its application to: (1) Plane Infinite Sheet and (2) Sphere.
Electric Field in Matter: Polarization in matter, Bound charges and their physical interpretation,
Field inside a dielectric, Displacement vector D, Gauss‘ law in the presence of dielectrics,
Boundary conditions for D, Linear dielectrics, electric susceptibility and dielectric constant, Idea
of complex dielectric constant due to varying electric field, Boundary value problems with linear
dielectrics
UNIT 3 (19 Hours)
Magnetic Field: Divergence and curl of magnetic field B, Magnetic field due to arbitrary current
distribution using Biot-Savart law, Integral and differential forms of Ampere‘s law, Vector
potential and its ambiguities, Coulomb gauge and possibility of making vector potential
divergence less, Vector potential due to line, surface and volume currents using Poisson equations
for components of vector potential.
Magnetic Properties of Matter: Magnetization vector, Bound currents, Magnetic intensity,
Differential and integral form of Ampere‘s Law in the presence of magnetized materials,
Magnetic susceptibility and permeability of diamagnetic, paramagnetic and ferromagnetic
materials.
Electrodynamics: Faraday‘s law, Lenz‘s law, Inductance and electromotive force, Ohm‘s law
( ⃗= ), Energy stored in a magnetic field, Continuity equation, Displacement current and

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