Tuesday, December 14, 2010


EC 2253                      ELECTROMAGNETIC FIELDS                                            3 1 0 4

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 Stokes 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.

UNIT III             ELECTRIC AND MAGNETIC FIELDS IN MATERIALS                                9

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.

UNIT IV            TIME VARYING ELECTRIC AND MAGNETIC FIELDS                               9

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. W H.Hayt & J A Buck : “Engineering Electromagnetics” TATA McGraw-Hill, 7th Edition 2007 (Unit I,II,III ).
  2. E.C. Jordan & K.G. Balmain  “Electromagnetic Waves and Radiating Systems.” Pearson Education/PHI 4nd edition 2006. (Unit IV, V).


1.         Matthew N.O.Sadiku: “Elements of Engineering Electromagnetics” Oxford University Press, 4th edition, 2007
2.           Narayana Rao, N : “Elements of Engineering Electromagnetics” 6th edition, Pearson Education, New Delhi, 2006.
3.         Ramo, Whinnery and Van Duzer: “Fields and Waves in Communications Electronics” John Wiley & Sons ,3rd edition 2003.
4.         David K.Cheng: “Field and Wave Electromagnetics - Second Edition-Pearson Edition, 2004.
5.         G.S.N. Raju, Electromagnetic Field Theory & Transmission Lines, Pearson Education, 2006

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