- Vector Analysis
- Introduction
- Scalars and Vectors
- Scalar
- Vector
- Scalar Field
- Vector Field
- Representation of a Vector
- Vector Algebra
- The Co-ordinate Systems
- Cartesian Co-ordinate System
- Cylindrical Co-ordinate System
- Spherical Co-ordinate System
- Vector Multiplication
- 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
- Laplacian of a Scalar
- Electric Field Intensity
- Introduction
- 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 Ring
- Electric Field due to Infinite Sheet of Charge .
- Electric flux Density and Gauss’s Law
- Introduction
- Electric Flux
- Electric Flux Density (D)
- D due to a Point Charge Q
- Relationship between D and E
- Electric Flux Density for Various Charge Distributions
- Gauss’s Law
- Applications of Gauss’s Law
- Gauss’s Law Applied to Differential Volume Element
- Divergence
- Maxwell’s First Equation
- Divergence Theorem
- Energy and Potential
- 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
- Conductor, 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
- Energy Stored in a Capacitor
- Method of Images
- Poisson’s and Laplace’s Equation
- Introduction
- Poisson’s and Laplace’s Equations
- Uniqueness Theorem
- Procedure for Solving Laplace’s Equation
- Calculating Capacitance using Laplace’s Equation
- Magnetostatics
- Introduction
- Magnetic Field and its Properties
- Biot-Savart Law
- H due to Infinitely Long Straight Conductor
- H due to Straight Conductor of Finite Length
- H at the Centre of a Circular Conductor
- H on the Axis of a Circular Loop
- Ampere’s Circuital Law
- Applications of Ampere’s Circuital Law
- Curl
- Stoke’s Theorem
- Magnetic Flux and Flux Density
- Magnetic Scalar and Vector Potentials
- Magnetic Forces, 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 and Mutual Inductance
- Magnetic Energy
- Forces on Magnetic Materials
- Time Varying Fields and Maxwell’s Equations
- Introduction
- Faraday’s Law
- Concept of Displacement Current
- General Field Relations for Time Varying Electric and Magnetic Fields
- Maxwell’s Equations
- Maxwell’s Equations for Free Space
- Maxwell’s Equations for Good Conductor
- Maxwell’s Equations for Harmonically Varying Fields
- Uniform Plane Waves
- Transmission Lines
- Introduction
- Types of Transmission Lines
- Transmission Line Parameters
- The Infinite Line
- Short Line
- Currents and Voltages Along an Infinite Line
- Propagation Constant lnterms of Zoc and Zsc
- Wavelength and Velocity
- Relationship between Primary and Secondary Constants
- General Solution of a Transmission Line
- Physical Significance of General Solution
- Application of General Solution to the Particular Cases
- Input and Transfer Impedance
- Conditions for Minimum Attenuation
- Waveform Distortion
- Dissipationless Line
- Telephone Cable
- Loading of Lines
- Reflection on a Line not Terminated in Zo
- Reflection Loss and Reflection Factor
- Insertion Loss
- The Line at Radio Frequencies
- Parameters of the Line at High Frequency