EC1253 Electromagnetic Fields Syllabus

EC1253        ELECTROMAGNETIC FIELDS                              3 1 0 100

To familiarize the student to the concepts, calculations and pertaining to electric, magnetic and electromagnetic fields so that an in depth understanding of antennas, electronic devices, Waveguides is possible.

•    To analyze fields a potentials due to static changes
•    To evaluate static magnetic fields
•    To understand how materials affect electric and magnetic fields
•    To understand the relation between the fields under time varying situations
•    To understand principles of propagation of uniform plane waves.

UNIT I        STATIC ELECTRIC FIELDS                        9
Introduction to Co-ordinate System – Rectangular –
Cylindrical and Spherical Co-ordinate System – Introduction to line, Surface and Volume Integrals – Definition of Curl, Divergence and Gradient – Meaning of Strokes theorem and Divergence theorem 
Coulomb’s Law in Vector Form – Definition of Electric Field Intensity – Principle of Superposition – Electric Field due to discrete charges – Electric field due to continuous charge distribution - Electric Field due to charges distributed uniformly on an infinite and finite line – Electric Field on the axis of a uniformly charged circular disc – Electric Field due to an infinite uniformly charged sheet.
Electric Scalar Potential – Relationship between potential and electric field - Potential due to infinite uniformly charged line – Potential due to electrical dipole - Electric Flux Density – Gauss Law – Proof of Gauss Law – Applications.

UNIT II        STATIC MAGNETIC FIELD                        9
The Biot-Savart Law in vector form – Magnetic Field intensity due to a finite and infinite wire carrying a current I – Magnetic field intensity on the axis of a circular and rectangular loop carrying a current I – Ampere’s circuital law and simple applications.
Magnetic flux density – The Lorentz force equation for a moving charge and applications – Force on a wire carrying a current I placed in a magnetic field – Torque on a loop carrying a current I – Magnetic moment – Magnetic Vector Potential.

Poisson’s and Laplace’s equation – Electric Polarization-Nature of dielectric materials- Definition of Capacitance – Capacitance of various geometries using Laplace’s equation – Electrostatic energy and energy density – Boundary conditions for electric fields – Electric current – Current density – point form of ohm’s law – continuity equation for current.
Definition of Inductance – Inductance of loops and solenoids – Definition of mutual inductance – simple examples. Energy density in magnetic fields – Nature of magnetic materials – magnetization and permeability - magnetic boundary conditions.

Faraday’s law – Maxwell’s Second Equation in integral form from Faraday’s Law – Equation expressed in point form.
Displacement current – Ampere’s circuital law in integral form – Modified form of Ampere’s circuital law as Maxwell’s first equation in integral form – Equation expressed in point form. Maxwell’s four equations in integral form and differential form.
Poynting Vector and the flow of power – Power flow in a co-axial cable – Instantaneous Average and Complex Poynting Vector.

UNIT V        ELECTROMAGNETIC WAVES                    9
Derivation of Wave Equation – Uniform Plane Waves – Maxwell’s equation in Phasor form – Wave equation in Phasor form – Plane waves in free space and in a homogenous material.
Wave equation for a conducting medium – Plane waves in lossy dielectrics – Propagation in good conductors – Skin effect.
Linear, Elliptical and circular polarization – Reflection of Plane Wave from a conductor – normal incidence – Reflection of Plane Waves by a perfect dielectric – normal and oblique incidence. Dependence on Polarization.  Brewster angle.

TUTORIAL                                         15

TOTAL : 60
1.    William H.Hayt : “Engineering Electromagnetics” TATA 2003 (Unit I,II,III ).
2.    E.C. Jordan & K.G. Balmain  “Electromagnetic Waves and Radiating Systems.” Prentice Hall of   India 2nd edition 2003. (Unit IV, V). McGraw-Hill, 9th reprint

1.    Ramo, Whinnery and Van Duzer: “Fields and Waves in Communications Electronics” John Wiley & Sons (3rd edition 2003)
2    .Narayana Rao, N : “Elements of Engineering Electromagnetics” 4th edition, Prentice Hall of India, New Delhi, 1998.
3.    M.N.O.Sadiku: “Elements of Engineering Electromagnetics” Oxford University Press, Third edition.
4.    David K.Cherp: “Field and Wave Electromagnetics - Second Edition-Pearson Edition.
5.     David J.Grithiths: “Introduction to Electrodynamics- III Edition-PHI.

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