VL3301 Electromagnetic Fields and Transmission Lines Syllabus:
VL3301 Electromagnetic Fields and Transmission Lines Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
• To apply vector calculus in analyzing static electric and magnetic fields.
• To understand Maxwell’s equations and their role in time-varying electromagnetic fields and wave propagation.
• To study transmission line behavior, including distortion, reflections, and impedance.
• To analyze high-frequency transmission lines using standing wave concepts and impedance measurements.
• To perform impedance matching using stubs, wave transformers, and the Smith chart.
UNIT I STATIC ELECTRIC AND MAGNETIC FIELDS
Vectors and co-ordinate systems: Cartesian, cylindrical and spherical co-ordinate system,Line, surface and volume integrals, Gradient of a scalar field, Divergence theorem, Stoke’s theorem, Conductors in static electric field- Dielectrics in static electric field- Electric flux density a dielectric constant- Boundary conditions, Static Magnetic Field-Lorentz force equation, Amper law, Biot-Savart law, Magnetic flux density, Magnetic Energy.
UNIT II TIME VARYING FIELDS AND MAXWELL’s EQUATIONS
Faraday’s law, Displacement current and Maxwell-Ampere law, Maxwell’s equations, Potential functions, Electromagnetic boundary conditions, Wave equations and solutions, Time-harmonic fields, Observing the Phenomenon of wave propagation with the aid of Maxwell’s equations
UNIT III TRANSMISSION LINE THEORY
General theory of Transmission lines – the transmission line – general solution – The infinite line – Wavelength, velocity of propagation – Waveform distortion – the distortion less line – Loading and different methods of loading – Line not terminated in Z 0 – Reflection coefficient – calculation of current, voltage, power delivered and efficiency of transmission – Input and transfer impedance – Open and short circuited lines – reflection factor and reflection loss.
UNIT IV HIGH FREQUENCY TRANSMISSION LINES
Transmission line equations at radio frequencies – Line of Zero dissipation – Voltage and current on the dissipation less line, Standing Waves, Nodes, Standing Wave Ratio – Input impedance of the dissipation less line – Open and short circuited lines – Power and impedance measurement on lines – Reflection losses – Measurement of VSWR and
wavelength.
UNIT V IMPEDANCE MATCHING IN HIGH FREQUENCY LINE
Impedance matching: Quarter wave transformer ,One Eighth wave line, Half wave lineImpedance matching by stubs- Single stub and double stub matching – Smith chart – Application of Smith chart, Solutions of problems using Smith chart – Single and double stub matching using Smith chart.
TOTAL: 45 PERIODS
COURSE OUTCOMES :
At the end of the course, students will be able to
CO1: Apply vector calculus to analyze static electric and magnetic fields.
CO2: Use Maxwell’s equations to study time-varying electromagnetic fields and wave propagation.
CO3: Analyze transmission line parameters and signal behavior under various loading conditions.
CO4: Evaluate high-frequency transmission line characteristics and standing wave phenomena.
CO5: Design impedance matching networks using analytical methods and the Smith chart.
TEXTBOOKS :
1. D.K. Cheng, Field and wave electromagnetics, 2nd ed., Pearson (India), 2002
2. M.N.O.Sadiku and S.V. Kulkarni, Principles of electromagnetics, 6th ed., Oxford(Asian Edition), 2015
3. John D Ryder, “Networks lines and fields”,Prentice Hall of India,New Delhi,2005.
REFERENCES :
1. Edward C. Jordan & Keith G. Balmain, Electromagnetic waves and Radiating Systems, Second Edition, Prentice-Hall Electrical Engineering Series, 2012.
2. W.H. Hayt and J.A. Buck, Engineering electromagnetics, 7th ed., McGraw-Hill (India), 2006
3. B.M. Notaros, Electromagnetics, Pearson: New Jersey, 2011