# Electromagnetic Field Theory and Transmission Lines

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# Code(Credit) : CUTM1042 (2-1-0)

## Course Objectives

• To introduce the fundamental theory and concepts of electromagnetic waves and transmission lines
• To impart knowledge on the concepts of electrostatics, electric potential, energy density and their applications.
• To impart knowledge on the concepts of magnetostatics, magnetic flux density, scalar and vector potential and its applications.
• To impart knowledge on the concepts of Faraday‘s law, induced emf and Maxwell‘s equations.
• Model and design the transmission lines at high frequencies.
• To apply Smith chart use for solution of transmission line problems and impedance matching.

## Course Outcomes

COs                                           Course Outcomes                                                           POs

CO1                  Knowledge on principles of electrostatics to the solutions             PO1(3), PO2(2), PO3(2)

.                        of problems relating to electric field and electric potential,
.                        principles of electrostatics to the solutions of problems

.                        relating to boundary conditions and electric energy
.                        density, the principles of magnetostatics to the solutions

.                        of problems relating to magnetic field and magnetic potential,

CO2                  Apply Maxwell‘s equations to solutions of problems relating to          PO3(3), PO4(2)

.                         transmission lines and uniform plane wave propagation.

## Course Syllabus

Module I: Electrostatics (3hrs Theory + 2hrs Practice)
Introduction to Electrostatic Fields, Gauss's Law and Applications, Electric Potential, Maxwell’s Two Equations for Electrostatic Fields,Electric Current and Current Density, Continuity Equation, Relaxation Time, Laplace’s and Poisson’s Equations.

Practice:
1. To Calculate the Electric field of a dipole using Coulomb's law in Matlab
2. Simulation of Electric Potential and Electric Field in Matlab

Module II: Magnetostatics (3hrs Theory + 2hrs Practice)
Biot-Savart Law: Current Flow – which path does it take, Ampere’s Circuital Law, Magnetic Flux Density: Closed Loop Circuits, Magnetic Scalar and Vector Potentials, Forces due to Magnetic Fields, Inductances and Magnetic Energy.

Practice:
1. Magnetic field by an infinitely long line current using matlab
2. Magnetic field of a Circular current loop using Biot Savart's Law

Module III: Maxwell’s Equations (3hrs Theory + 1hr Practice)
Maxwell’s Equations and Boundary Conditions.

Practice:
1. Maxwell's Equation using matlab

Module IV: Electromagnetic Waves (3hrs Theory + 4hrs Practice)
Wave Equations for Conducting and Perfect Dielectric Media, Uniform Plane Waves, Wave Propagation in Lossless and Conducting Media, 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.

Practice:
1. Linear and Circular Polarization of waves using matlab
2. 1-D standing wave using matlab
3. 2-D standing wave (TE) using matlab
4. 2-D standing wave (TM) using matlab
5. Design of Wireless Power Transfer using matlab

Module V: Introduction to Transmission Line Modelling (3hrs Theory + 3hrs Practice)
Introduction to Transmission line equations, Primary & Secondary constants Expressions for Characteristic Impedance, Propagation Constant, Phase and Group Velocities, Losslessness/Low Loss Characterization, Distortion , Loading, Transmission Line Effects, SC and OC Lines, Reflection Coefficient, VSWR, λ/8, λ/4, λ/2 line impedance Transformations, Smith Chart – Configuration and Applications, Impedance Control.

Practice:
1. Reflection and transmission of a plane wave (S-wave)
2. Reflection and transmission of a plane wave (P-wave)
3. Radiation by an infinitesimal dipole

Module VI: Waveguides (3hrs Theory)
Introduction, Rectangular Waveguides, electric and magnetic field patterns in TE10 and TE11 mode configuration, modes of TE wave in rectangular waveguide, field equations, impossibility of TEM wave propagation in waveguides, cutoff frequency of rectangular waveguide, propagation constant, wave impedance, phase velocity, group velocity, dominant mode and degenerate modes, related problems.

Module VII: Electromagnetic Computational Techniques (3hrs Theory)
Introduction, Finite Difference Method (FDM), Finite Element Method (FEM) and Method of moments (MOM) technique.

Text Books:
1. Matthew N.O. Sadiku, “Elements of Electromagnetics”, Oxford Univ. Press.
2. G.S.N.Raju, “Electromagnetic Field Theory and Transmission Lines”, Pearson Education (Singapore) Pvt., Ltd.

Reference:
1. E.C. Jordan and K.G. Balmain, “Electromagnetic Waves and Radiating Systems”, PHI.
2. Seungbum Hong, "Electrodynamics: An Introduction", Coursera.
3. Seungbum Hong, "Electrodynamics: Electric and Magnetic Field", Coursera.
4. Seungbum Hong, "Electrodynamics: In-depth Solutions for Maxwell’s Equations", Coursera.
5. Husain Habib, "Electromagnetic Tutorials part 1 with MATLAB & GeoGebra", Udemy.

## Session 3

Continuity Equation and Relaxation Time

Laplace’s and Poisson’s Equations

## Session 6

Magnetic Scalar and Vector Potentials

## Session 7

Ampere’s Circuit Law, Magnetic Flux Density, Magnetic Scalar and Vector Potentials

## Session 8

Forces due to Magnetic Fields, Inductance and Magnetic Energy

## Session 10

### Dr P Anthony Sunny Dayal

##### Associate Professor, Department of Electronics and Communication Engineering, SOET
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Dr P Anthony Sunny Dayal completed his M.Tech in Radar and Microwave Engineering from Andhra University and Ph.D in Antenna Array Design For Radar And Emc Applications from Centurion University. Recipient of “Young Scientist Award” from His Excellency Shri Biswabhusan Harichandan Governor of Andhra Pradesh, at Andhra Pradesh Science Congress – 2019 by Andhra Pradesh […]