National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : EE3004 : Electromagnetic Field Theory { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Prof. Kanungo Barada Mohanty

Syllabus

Review of Vector Calculus [6 hours]

Basis of Vectors, Matrix representation of vector space, Transformation of Vector, Coordinate System and Transformation, Vector Products, Differential Length, Area and Volume, The Del Operator

Electrostatics [6 hours]

Point Charges, Charge Distributions, Electric Potential, Energy in Electrostatic Fields, Electrostatic Boundary Conditions, Poisson’s and Laplace’s Equation, Capacitance Determination, Electrostatic Devices

Magnetostatics [6 hours]

Fields and Currents, Forces on Charged Particles, Forces on Current Elements, Scalar and Vector Magnetic Potential, Magnetostatic Boundary Conditions, Inductance Determination, Magnetostatic Devices

Electromagnetics [6 hours]

Faraday’s Law, Transformer and motional EMF, Maxwell’s Equations, Boundary conditions in Electromagnetic Field, Energy Theorems

Electromagnetic wave propagation [6 hours]

Electromagnetic Wave Equation in Dielectrics and Conductors, Solution of Wave equation in Cartesian Coordinates in homogeneous Dissipative and Non dissipative Regions, Waves at interface between conductors and Dielectrics, Skin Depth, Power Flow and Poynting Vector, Reflection of waves at normal incidence, Standing Wave

Transmission Line [6 hours]

Transmission Lines: Introduction, Transmission Lines as Circuit Elements, Transmission Line Theory, Variation of Voltage and Current at distance x from the sending end, Primary Line Constant, Phase Velocity and Line wavelength, Characteristics impedance, The Propagation Coefficient, short circuit and open circuit impedances, Phase and Group velocities, Standing Waves, Voltage Standing Wave Ratio, Reflection Coefficient, Smith Chart, Solution of problems using Smith Chart, Stub Matching.

Course Objectives

  • To acquire the knowlede of Maxell’s equations, Faraday’s law, Gauss’s law and Ampere’s law to solve field problems
  • To apply divergence theorem and Stoke’s theorem to solve field problems
  • To acquire the knowledge of time varying fields and wave propagation
  • To acquire the knowledge of transmission line from electromagnetic field point of view

Course Outcomes

On completion of this course, students are expected to be able to: <br /> <br />CO1 solve electrostatic and magnetostatic problems under different boundary conditions. <br />CO2 calculate the force on moving charged particles and describe phenomena related to the Lorentz force. <br />CO3 interpret Maxwell Equations. <br />CO4 solve problems related to wave equations under different boundary conditions. <br />CO5 solve problems related to transmission lines.

Essential Reading

  • M. N. O. Sadiku, Principles of Electromagnetics, Oxford University Press, New Delhi , 2009
  • W. H. Hayt Jr. and J. A. Buck, Engineering Electromagnetics, McGraw Hill, New York , 2010

Supplementary Reading

  • D.K. Cheng, Field and Wave Electromagnetics, Pearson Education, Singapore , 2003
  • A. Pramanik, Electromagnetism, Vol. 1 (Theory), PHI, New Delhi , 2014