Electro Magnetic Fields and Transmission Lines
EC25C06 3rd Semester ECE - Electronics and Communication Engineering Department | 2025 Regulation
2025 regulation - 3rd semester for ECE - Electronics and Communication Engineering Department. Subject: Electro Magnetic Fields and Transmission Lines, Subject Code: EC25C06, Batch: 2025, 2026, 2027, 2028. Department: ECE - Electronics and Communication Engineering Department. Institute: Anna University Affiliated Engineering College, TamilNadu. This page has EC25C06 (Electro Magnetic Fields and Transmission Lines) study material, notes, semester question paper pdf download, important questions, lecture notes.
PDF Download Links
Electro Magnetic Fields and Transmission Lines
- Vector Analysis
- Introduction
- Scalars and Vectors
- Representation of a Vector
- Vector Algebra
- The Co-ordinate Systems
- Cartesian Co-ordinate System
- Cylindrical Co-ordinate System
- Spherical Co-ordinate System
- Vector Multiplication
- Scalar or Dot Product of Vectors
- Vector or Cross Product of Vectors
- Products of Three Vectors
- Transformation of Vectors
- Types of Integral Related to Electromagnetic Theory
- Divergence
- Divergence Theorem
- Gradient of a Scalar
- Curl of a Vector
- Stoke's Theorem
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Coulomb's Law and Electric Field Intensity
- Electrostatics
- Coulomb's Law
- Electric Field Intensity
- Types of Charge Distributions
- Electric Field Intensity due to Various Charge Distributions
- Electric Field due to Infinite Line Charge
- Electric Field due to Charged Circular
- Electric Field due to Infinite Sheet of Charge
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Gauss's Law and Applications
- Introduction
- Electric Flux
- Electric Flux Density
- Electric Flux Density due to a Point Charge Q
- Electric Flux Density for Various Charge Distributions
- Gauss’s Law
- Applications of Gauss's Law
- Gauss's Law Applied to Differential Volume Element
- Maxwell's First Equation
- Divergence Theorem
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Electric Work Potential and Energy
- Introduction
- Work Done
- The Line Integral
- Potential Difference
- Potential due to Point Charge
- Potential due to a Line Charge
- Potential due to Surface Charge
- Potential due to Volume Charge
- Potential Difference due to Infinite Line Charge
- Equipotential Surfaces
- Conservative Field
- Potential Gradient
- Energy Density in the Electrostatic Fields
- An Electric Dipole
- Method of Images
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Conductors, Dielectrics and Capacitance
- Introduction
- Current and Current Density
- Continuity Equation
- Conductors
- Relaxation Time
- Dielectric Materials
- Boundary Conditions
- Boundary Conditions between Conductor and Free Space
- Boundary Conditions between Two Perfect Dielectrics
- Concept of Capacitance
- Capacitors in Series
- Capacitors in Parallel
- Parallel Plate Capacitor
- Capacitance of a Co-axial Cable
- Spherical Capacitor
- Composite Parallel Plate Capacitor (Mixed Dielectrics)
- Energy Stored in a Capacitor
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Magnetostatics
- Introduction
- Magnetic Field and its Properties
- Biot-Savart Law
- Magnetic field intensity (H) due to Infinitely Long Straight Conductor
- Magnetic field intensity (H) due to Straight Conductor of Finite Length
- Magnetic field intensity (H) at the Centre of a Circular Conductor
- Magnetic field intensity (H) on the Axis of a Circular Loop
- Ampere's Circuital Law
- Applications of Ampere's Circuital Law
- Point Form of Ampere's Circuital Law
- Magnetic Flux and Flux Density
- Magnetic Scalar and Vector Potentials
- Working principle of Practical Applications of electrostatic and magnetostatic fields
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Magnetic Forces, Magnetic Materials and Inductance
- Introduction
- Force on a Moving Point Charge
- Force on a Differential Current Element
- Force between Differential Current Elements
- Magnetic Torque and Magnetic Dipole Moment
- Nature of Magnetic Materials
- Magnetization and Permeability
- Magnetic Boundary Conditions
- Magnetic circuits
- Inductance - Self Inductance and Mutual Inductance
- Mutual Inductance between a Long, Straight Wire and Rectangular Loop Laying in Same Plane
- Magnetic Energy
- Applications of Magnetic
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Time Varying Fields and Maxwell's Equations
- Introduction
- Faraday’s Law and Lenz’s Law
- Displacement Current Density and Displacement Current
- General Field Relations for Time Varying Electric and Magnetic Fields
- Maxwell's Equations
- Boundary Conditions for Time Varying Fields
- Retarded Potentials
- Phasor Representation of a Vector
- Comparison between Field Theory and Circuit Theory
- Applications
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Electromagnetic Waves
- Introduction
- General Wave Equation
- Uniform Plane Waves in Free Space
- Electromagnetic Wave Equations in Phasor Form
- Uniform Plane Waves in Perfect (or Lossless) Dielectric
- Uniform Plane Waves in Lossy Dielectric
- Uniform Plane Electromagnetic Waves in Good Conductor
- Poynting Vector and Poynting Theorem
- Polarization of Uniform Plane Waves
- Reflection of Uniform Plane Waves
- Oblique Incidence of Uniform Plane Waves
- Applications of Electromagnetic Waves
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
- Transmission Line Parameters
- Introduction
- Structure of Power System
- Types of Transmission
- Types of Line Conductors
- Methods of Arrangement of Conductors
- Introduction to Transmission Line Parameters
- Transmission Line Constants
- Resistance
- Inductance
- Capacitance
- Inductance of a Conductor
- Inductance of a Single Phase Two Wire Line
- Flux Linkages of One Conductor in a Group
- Inductance of Composite Conductor Lines
- An Alternative Approach for Finding the Expression for Inductive Reactance
- Flux Linkages in Parallel Current Carrying Conductors
- Inductance of Three Phase Lines with Equilateral and Symmetrical Spacing
- Inductance of Transmission Line with Unsymmetrical Spacing
- Inductance of Three Phase Line with Unsymmetrical Spacing but Transposed
- Inductance of Three Phase Lines with more than One Circuit
- Inductance of Three Phase Double Circuit with Unsymmetrical Spacing but Transposed
- Inductance of Three Phase Double Circuit with Symmetrical Spacing
- Inductance of Bundled Conductor Lines
- Capacitance of Transmission Line
- Electric Potential at Single Charged Conductor
- Potential at a Conductor in a Group of Charged Conductors
- Capacitance of Single Phase Line
- Effect of Earth on capacitances of Transmission Line
- Capacitance of a Three Phase Line with Equilateral Spacing
- Capacitance of a Three Phase Line with Unsymmetrical Spacing
- Effect of Earth on Capacitance of Single Circuit Three Phase Line with Transposition
- Capacitance of System with Bundled Conductors
- Capacitance of Three Phase Line with More Than One Circuit
- Capacitance of Three Phase Double Circuit with Unsymmetrical Spacing but Transposed
- Inductive Interference with Neighbouring Circuits
- Skin Effect
- Proximity Effect
- Electrical Parameters of EHV Lines
- Two Marks Questions with Answers
PDF Download Links
Electro Magnetic Fields and Transmission Lines
Unit I: (a) Vector Analysis
- Vector Analysis
- Introduction
- Scalars and Vectors
- Representation of a Vector
- Vector Algebra
- The Co-ordinate Systems
- Cartesian Co-ordinate System
- Cylindrical Co-ordinate System
- Spherical Co-ordinate System
- Vector Multiplication
- Scalar or Dot Product of Vectors
- Vector or Cross Product of Vectors
- Products of Three Vectors
- Transformation of Vectors
- Types of Integral Related to Electromagnetic Theory
- Divergence
- Divergence Theorem
- Gradient of a Scalar
- Curl of a Vector
- Stoke's Theorem
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit I: (b) Coulombs Law and Electric Field Intensity
- Coulomb's Law and Electric Field Intensity
- Electrostatics
- Coulomb's Law
- Electric Field Intensity
- Types of Charge Distributions
- Electric Field Intensity due to Various Charge Distributions
- Electric Field due to Infinite Line Charge
- Electric Field due to Charged Circular
- Electric Field due to Infinite Sheet of Charge
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit I: (c) Gauss Law and Applications
- Gauss's Law and Applications
- Introduction
- Electric Flux
- Electric Flux Density
- Electric Flux Density due to a Point Charge Q
- Electric Flux Density for Various Charge Distributions
- Gauss’s Law
- Applications of Gauss's Law
- Gauss's Law Applied to Differential Volume Element
- Maxwell's First Equation
- Divergence Theorem
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit II: (a) Electric Work Potential and Energy
- Electric Work Potential and Energy
- Introduction
- Work Done
- The Line Integral
- Potential Difference
- Potential due to Point Charge
- Potential due to a Line Charge
- Potential due to Surface Charge
- Potential due to Volume Charge
- Potential Difference due to Infinite Line Charge
- Equipotential Surfaces
- Conservative Field
- Potential Gradient
- Energy Density in the Electrostatic Fields
- An Electric Dipole
- Method of Images
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit II: (b) Conductors, Dielectrics and Capacitance
- Conductors, Dielectrics and Capacitance
- Introduction
- Current and Current Density
- Continuity Equation
- Conductors
- Relaxation Time
- Dielectric Materials
- Boundary Conditions
- Boundary Conditions between Conductor and Free Space
- Boundary Conditions between Two Perfect Dielectrics
- Concept of Capacitance
- Capacitors in Series
- Capacitors in Parallel
- Parallel Plate Capacitor
- Capacitance of a Co-axial Cable
- Spherical Capacitor
- Composite Parallel Plate Capacitor (Mixed Dielectrics)
- Energy Stored in a Capacitor
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit II: (c) Poissons and Laplaces Equations
Unit III: (a) Magnetostatics
- Magnetostatics
- Introduction
- Magnetic Field and its Properties
- Biot-Savart Law
- Magnetic field intensity (H) due to Infinitely Long Straight Conductor
- Magnetic field intensity (H) due to Straight Conductor of Finite Length
- Magnetic field intensity (H) at the Centre of a Circular Conductor
- Magnetic field intensity (H) on the Axis of a Circular Loop
- Ampere's Circuital Law
- Applications of Ampere's Circuital Law
- Point Form of Ampere's Circuital Law
- Magnetic Flux and Flux Density
- Magnetic Scalar and Vector Potentials
- Working principle of Practical Applications of electrostatic and magnetostatic fields
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit III: (b) Magnetic Forces, Magnetic Materials and Inductance
- Magnetic Forces, Magnetic Materials and Inductance
- Introduction
- Force on a Moving Point Charge
- Force on a Differential Current Element
- Force between Differential Current Elements
- Magnetic Torque and Magnetic Dipole Moment
- Nature of Magnetic Materials
- Magnetization and Permeability
- Magnetic Boundary Conditions
- Magnetic circuits
- Inductance - Self Inductance and Mutual Inductance
- Mutual Inductance between a Long, Straight Wire and Rectangular Loop Laying in Same Plane
- Magnetic Energy
- Applications of Magnetic
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit IV: Time Varying Fields and Maxwells Equations
- Time Varying Fields and Maxwell's Equations
- Introduction
- Faraday’s Law and Lenz’s Law
- Displacement Current Density and Displacement Current
- General Field Relations for Time Varying Electric and Magnetic Fields
- Maxwell's Equations
- Boundary Conditions for Time Varying Fields
- Retarded Potentials
- Phasor Representation of a Vector
- Comparison between Field Theory and Circuit Theory
- Applications
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit V: Electromagnetic Waves
- Electromagnetic Waves
- Introduction
- General Wave Equation
- Uniform Plane Waves in Free Space
- Electromagnetic Wave Equations in Phasor Form
- Uniform Plane Waves in Perfect (or Lossless) Dielectric
- Uniform Plane Waves in Lossy Dielectric
- Uniform Plane Electromagnetic Waves in Good Conductor
- Poynting Vector and Poynting Theorem
- Polarization of Uniform Plane Waves
- Reflection of Uniform Plane Waves
- Oblique Incidence of Uniform Plane Waves
- Applications of Electromagnetic Waves
- Two Marks Questions with Answers
- University Questions with Answers (Long Answered Questions)
Unit I: Transmission Line Parameters
- Transmission Line Parameters
- Introduction
- Structure of Power System
- Types of Transmission
- Types of Line Conductors
- Methods of Arrangement of Conductors
- Introduction to Transmission Line Parameters
- Transmission Line Constants
- Resistance
- Inductance
- Capacitance
- Inductance of a Conductor
- Inductance of a Single Phase Two Wire Line
- Flux Linkages of One Conductor in a Group
- Inductance of Composite Conductor Lines
- An Alternative Approach for Finding the Expression for Inductive Reactance
- Flux Linkages in Parallel Current Carrying Conductors
- Inductance of Three Phase Lines with Equilateral and Symmetrical Spacing
- Inductance of Transmission Line with Unsymmetrical Spacing
- Inductance of Three Phase Line with Unsymmetrical Spacing but Transposed
- Inductance of Three Phase Lines with more than One Circuit
- Inductance of Three Phase Double Circuit with Unsymmetrical Spacing but Transposed
- Inductance of Three Phase Double Circuit with Symmetrical Spacing
- Inductance of Bundled Conductor Lines
- Capacitance of Transmission Line
- Electric Potential at Single Charged Conductor
- Potential at a Conductor in a Group of Charged Conductors
- Capacitance of Single Phase Line
- Effect of Earth on capacitances of Transmission Line
- Capacitance of a Three Phase Line with Equilateral Spacing
- Capacitance of a Three Phase Line with Unsymmetrical Spacing
- Effect of Earth on Capacitance of Single Circuit Three Phase Line with Transposition
- Capacitance of System with Bundled Conductors
- Capacitance of Three Phase Line with More Than One Circuit
- Capacitance of Three Phase Double Circuit with Unsymmetrical Spacing but Transposed
- Inductive Interference with Neighbouring Circuits
- Skin Effect
- Proximity Effect
- Electrical Parameters of EHV Lines
- Two Marks Questions with Answers
PDF Download Links
EC25C06:
Electromagnetic
Fields and Transmission Lines
Course
objective:
Covers
static electric and magnetic field laws, Maxwell’s equations, and
electromagnetic wave propagation across media, transmission lines, and
waveguides.
Coordinate
Systems
Fundamentals
of scalars and vectors, Coordinate systems.
Electrostatics:
Coulomb’s
Law, Gauss’s Law, Electric Scalar Potential, Electric Boundary Conditions,
Capacitance, Electrostatic Potential Energy.
Magnetostatic:
Ampere
Circuital law- Biot–Savart Law, Magnetic Forces and Torques, Maxwell’s
Magnetostatic Equations, Vector Magnetic Potential, Magnetic Boundary
Conditions, Inductance, Magnetic Energy.
Maxwell’s
equations:
Equation
of continuity, Maxwell’s equations for time varying fields, boundary
conditions. Wave equation, EM waves in conducting medium and dielectric medium
, Uniform plane wave equation.
Transmission
Lines
Transmission
Lines, types, two-wire line-Equivalent circuit , characteristic impedance,
propagation constant, input impedance, VSWR, reflection and transmission
coefficients, return loss, quarter-wave transformer -impedance matching using
smith chart.
Waveguide
Parallel
plate, TEM-TM-TE-Cut off frequency, rectangular waveguide, parameters related
to waveguides.
Suggested activities:
GATE Questions, Assignments, and Project-based learning
Weightage:
Continuous Assessment: 40%, End Semester Examinations: 60%.
Assessment Methodology:
Assignment (20%), Software activity (20%), Quiz (20%),
Internal
Examinations (40%).
References:
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.
Edward C. Jordan & Keith G. Balmain,Electromagnetic waves and Radiating Systems,
Second Edition, Prentice-Hall Electrical Engineering Series, 2012.
4.
W.H. Hayt and J.A. Buck, Engineering electromagnetics, 7th ed., McGraw-Hill
(India), 2006 3. B.M. Notaros, Electromagnetics, Pearson: New Jersey, 2011.
5.
B.M. Notaros, Electromagnetics, Pearson: New Jersey, 2011.
Electromagnetic Theory: Unit I: (a) Vector Analysis,, Electromagnetic Theory: Unit I: (b) Coulombs Law and Electric Field Intensity,, Electromagnetic Theory: Unit I: (c) Gauss Law and Applications,, Electromagnetic Theory: Unit II: (a) Electric Work Potential and Energy,, Electromagnetic Theory: Unit II: (b) Conductors, Dielectrics and Capacitance,, Electromagnetic Theory: Unit II: (c) Poissons and Laplaces Equations,, Electromagnetic Theory: Unit III: (a) Magnetostatics,, Electromagnetic Theory: Unit III: (b) Magnetic Forces, Magnetic Materials and Inductance,, Electromagnetic Theory: Unit IV: Time Varying Fields and Maxwells Equations,, Electromagnetic Theory: Unit V: Electromagnetic Waves,, Transmission and Distribution: Unit I: Transmission Line Parameters,, Electromagnetic Theory: Solved Paper 3rd Semester 2025 Regulation : EC25C06 3rd Semester ECE - Electronics and Communication Engineering Department | 2025 Regulation Electro Magnetic Fields and Transmission Lines
