15EE45-Electromagnetic Field Theory

15EE45-Electromagnetic Field Theory

Course Objectives:

· To study different coordinate systems for understanding the concept of gradient, divergence and curl of a vector.

· To study the application of Coulomb’s Law and Gauss Law for electric fields produced by different charge configurations.

· To evaluate the energy and potential due to a system of charges.

· To study the behavior of electric field across a boundary between a conductor and dielectric and between two different dielectrics.

· To study the magnetic fields and magnetic materials.

· To study the time varying fields and propagation of waves in different media.

Module-1 :

Vector Analysis: Scalars and Vectors, Vector algebra, Cartesian co-ordinate system, Vector components and unit vectors. Scalar field and Vector field. Dot product and Cross product, Gradient of a scalar field. Divergence and Curl of a vector field. Co – ordinate systems: cylindrical and spherical, Relation between different coordinate systems. Expression for gradient, Divergence and curl in rectangular, Cylindrical and spherical coordinate systems. Problems.

Electrostatics: Coulomb’s law, Electric field intensity and its evaluation for (i) point charge (ii) line charge (iii) surface charge (iv) volume charge distributions. Electric flux density, Gauss law and its applications. Maxwell’s first equation (Electrostatics). Divergence theorem. Problems.

Module-2 :

Energy and Potential: Energy expended in moving a point charge in an electric field. The line integral. Definition of potential difference and potential. The potential field of a point charge and of a system of charges. Potential gradient. The dipole. Energy density in the electrostatic field. Problems.

Conductor and Dielectrics: Current and current density. Continuity of current. Metallic conductors, Conductor’s properties and boundary conditions. Perfect dielectric materials, capacitance calculations. Parallel plate capacitor with two dielectrics with dielectric interface parallel to the conducting plates. Capacitance of two wire line. Problems.

Module-3 :

Poisson’s and Laplace equations: Derivations and problems, Uniqueness theorem.

Steady magnetic fields: Biot - Savart’s law, Ampere’s circuital law. The Curl. Stokes theorem. Magnetic flux and flux density. Scalar and vector magnetic potentials. Problems.

Module-4 :

Magnetic forces: Force on a moving charge and differential current element. Force between differential current elements. Force and torque on a closed circuit. Problems.

Magnetic materials and magnetism: Nature of magnetic materials, Magnetization and permeability. Magnetic boundary conditions. Magnetic circuit, Inductance and mutual inductance. Problems.

Module-5 :

Time varying fields and Maxwell’s equations: Faraday’s law, Displacement current. Maxwell’s equations in point form and integral form. Problems.

Uniform plane wave: Wave propagation in free space and in dielectrics. Pointing vector and power considerations. Propagation in good conductors, skin effect. Problems.

Course Outcomes:

At the end of the course the student will be able to:

· Use different coordinate systems to explain the concept of gradient, divergence and curl of a vector.

· Use Coulomb’s Law and Gauss Law for the evaluation of electric fields produced by different charge configurations.

· Calculate the energy and potential due to a system of charges.

· Explain the behavior of electric field across a boundary between a conductor and dielectric and between two different dielectrics.

· Explain the behavior of magnetic fields and magnetic materials.

· Assess time varying fields and propagation of waves in different media.

Text/Reference Books:

1. Engineering Electromagnetics William H Hayt et al Mc Graw Hill 8thEdition, 2014

2. Principles of Electromagnetics Matthew N. O. Sadiku Oxford University Press 6th Edition, 2015

3. Fundamentals of Engineering Electromagnetics David K. Cheng Pearson 2014

4. Electromagnetism - Theory (Volume -1) -Applications (Volume-2) Ashutosh Pramanik PHI Learning 2014

5. Electromagnetic Field Theory Fundamentals Bhag Guru et al Cambridge University press 2005

6. Electromagnetic Field Theory Rohit Khurana Vikas Publishing 1st Edition,2014

7. Electromagnetics J. A. Edminister Mc Graw Hill 3rd Edition, 2010

8. Electromagnetic Field Theory and Transmission Lines Gottapu Sasibhushana Rao Wiley 1st Edition, 2013

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