JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

ELECTROMAGNETIC FIELDS AND TRANSMISSION LINES

B.Tech II Year II Semester (R22)

Pre-requisite

Mathematics

Course Objectives

Upon completing this course, the students will be able to

  • 1. To learn the Basic Laws, Concepts and proofs related to Electrostatic Fields and Magnetostatic Fields, and apply them to solve physics and engineering problems.
  • 2. To distinguish between static and time-varying fields, and understand the significance and utility of Maxwell’s Equations and Boundary Conditions, and gain ability to provide solutions to communication engineering problems.
  • 3. To study the propagation, reflection and transmission of planewaves inbounded and unbounded media.

Course Outcomes

Upon completing this course, the student able to

  • 1. Acquire the knowledge of Basic Laws, Concept sand proofs related to Electrostatic Fields and Magneto static Fields.
  • 2. Characterize the static and time-varying fields, establish the corresponding sets of Maxwell’s Equations and Boundary Conditions.
  • 3. Analyze the Wave Equations and classify conductors, dielectrics and evaluate the UPW Characteristics for several practical media of interest.
  • 4. Analyze the Design aspect of transmission line parameters and configurations. Course PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 CO1 3 3 2 1 - 1 - - - 1 - - CO2 3 3 2 1 - 1 - - - 1 - - CO3 3 3 2 1 - 1 - - - 1 - - CO4 3 3 2 1 - 1 - - - 1 - -

UNIT - I

Electrostatics: Coulomb’s Law, Electric Field Intensity – Fields due to Different Charge Distributions, Electric Flux Density, Gauss Law and Applications, Electric Potential, Relations Between E and V, Energy Density. Convection and Conduction Currents, Dielectric Constant, Isotropic and Homogeneous Dielectrics, Continuity Equation, Relaxation Time, Poisson’s and Laplace’s Equations, Capacitance – Parallel Plate, Coaxial, Spherical Capacitors.

UNIT - II

Magnetostatics: Biot-Savart’s Law, Ampere’s Circuital Law and Applications, Magnetic Flux Density, Magnetic Scalar and Vector Potentials, Forces due to Magnetic Fields, Ampere’s Force Law.

UNIT - III

Maxwell’s Equations (Time Varying Fields): Faraday’s Law and Transformer EMF, Inconsistency of Ampere’s Law and Displacement Current Density, Maxwell’s Two Equations for Magnetostatic Fields, Maxwell’s Two Equations for Electrostatic Fields Maxwell’s Equations in Different Forms, Conditions at a Boundary Surface - Dielectric-Dielectric and Dielectric-Conductor Interfaces.

UNIT - IV

EM Wave Characteristics: Wave Equations for Conducting and Perfect Dielectric Media, Uniform Plane Waves – Definitions, Relation between E & H, Sinusoidal Variations, Wave Propagation in

Lossless and Conducting Media, Conductors & Dielectrics – Characterization, Wave Propagation in Good Conductors and Good Dielectrics, Polarization. Reflection and Refraction of Plane Waves – Normal and Oblique Incidences for both Perfect Conductor and Perfect Dielectrics, Brewster Angle, Critical Angle and Total Internal Reflection, Surface Impedance, Poynting Vector and Poynting Theorem.

UNIT - V

Transmission Lines: Types, Parameters, Transmission Line Equations, Primary & Secondary Constants, Equivalent Circuit, Characteristic Impedance, Propagation Constant, Phase and Group Velocities, Infinite Line Concepts, Lossless / Low Loss Characterization, Condition for Distortion less line, Minimum Attenuation, Loading - Types of Loading.SC and OC Lines, λ/4, λ/2, λ/8 Lines, Reflection Coefficient, VSWR Smith Chart – Configuration and Applications, Single Stub Matching.

TEXT BOOKS:

  • 1. William H. Hayt Jr. and John A. Buck- Engineering Electromagnetics, 8th Ed., McGraw Hill, 2014
  • 2. Matthew N.O. sadiku and S.V. Kulkarni - Principles of Electromagnetics, 6th Ed., Oxford University Press, Aisan Edition, 2015.

REFERENCE BOOKS:

  • 1. JD. Kraus -Electromagnetics with Applications ,5th Ed., TMH
  • 2. Umesh Sinha, Satya Prakashan -Transmission Lines and Networks, (Tech. India Publications), New Delhi, 2001.
  • 3. JD Ryder -Networks, Lines and Fields, 2nd Ed., PHI, 1999

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