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The Syllabus

Part-A:Essentials Of Vector Calculus

Introduction
The Magnitude!
The Direction (Unit Vector)
- Dot Product Of Unit Vectors
- Defining A Plane Using Direction Components
Dot Product
The Cross Product

Part B: Coordinate System

Introduction To Coordinate System
Cartesian Coordinate System
- Defining Point ‘P’ In Cartesian Coordinate System
Constant Planes
Differential Volume In Space
Vectors In Cartesian
Cylindrical Coordinate System
- Finding Point 'P' In Cylinder
Constant Plane
Introduction To Coordinate System
Spherical Coordinate System
Constant Planes
Locating Point 'P' In Spherical Coordinate System
Differential Volume In Spherical System
Relation Between Various Coordinate Systems
- Conversion Of Rectangular Coordinates To Spherical Coordinates
- Conversion Of Spherical Coordinate To Cartesian Coordinate System

Part–C: The Integrals And Del Operator

Line, Surface And Volume Integrals
Volume Integrals
Integral Calculus
Triple Integral For Volume
All About The Del Operator
Gradient Of A Scalar
Divergence Of Vector Field
Curl
Fundamental Theorems
- Strokes Theorem
- Divergence Theorem

Part-A:Essentials Of Vector Calculus

Introduction
The Magnitude!
The Direction (Unit Vector)
- Dot Product Of Unit Vectors
- Defining A Plane Using Direction Components
Dot Product
The Cross Product

Part B: Coordinate System

Introduction To Coordinate System
Cartesian Coordinate System
- Defining Point ‘P’ In Cartesian Coordinate System
Constant Planes
Differential Volume In Space
Vectors In Cartesian
Cylindrical Coordinate System
- Finding Point 'P' In Cylinder
Constant Plane
Introduction To Coordinate System
Spherical Coordinate System
Constant Planes
Locating Point 'P' In Spherical Coordinate System
Differential Volume In Spherical System
Relation Between Various Coordinate Systems
- Conversion Of Rectangular Coordinates To Spherical Coordinates
- Conversion Of Spherical Coordinate To Cartesian Coordinate System

Part B: Coordinate System

Line, Surface And Volume Integrals
Volume Integrals
Integral Calculus
Triple Integral For Volume
All About The Del Operator
Gradient Of A Scalar
Divergence Of Vector Field
Curl
Fundamental Theorems
- Strokes Theorem
- Divergence Theorem

Introduction
- What Is Electrostatics?
Coulomb’s Law
- More About Constant Of Proportionality
- Coulomb’s Law In Vector Format
Electric Field Intensity ‘E’
- Various Charge Distribution
'E' Due To Various Charge Distributions
- 'E' Due To A Point Charge
- 'E' Due To Line Charge Distribution
- 'E' Due To Finite Length Line
- 'E' Due To Infinite Line Charge
- 'E' Due To Circular Ring
- 'E' Due To Surface Charge Distribution
Gauss’s Law And Its Applications
- Electric Flux
- Various Relations Reated To Gauss Law
Gauss Law
- What Is Gaussian Surface!
Applications Of Gauss’s Law
- Proof Of Gauss’s Law From Coulomb's Law (In Case Of Point Charge)
- Elctric Flux Density Due To Infinite Long Conductor
- Elctric Flux Density Due To A Sheet Of Charge
Divergence Of Electric Flux Density

Introduction
- What Is Electrostatics?
Coulomb’s Law
- More About Constant Of Proportionality
- Coulomb’s Law In Vector Format
Electric Field Intensity ‘E’
- Various Charge Distribution
'E' Due To Various Charge Distributions
- 'E' Due To A Point Charge
- 'E' Due To Line Charge Distribution
- 'E' Due To Finite Length Line
- 'E' Due To Infinite Line Charge
- 'E' Due To Circular Ring
- 'E' Due To Surface Charge Distribution
Gauss’s Law And Its Applications
- Electric Flux
- Various Relations Reated To Gauss Law
Gauss Law
- What Is Gaussian Surface!
Applications Of Gauss’s Law
- Proof Of Gauss’s Law From Coulomb's Law (In Case Of Point Charge)
- Elctric Flux Density Due To Infinite Long Conductor
- Elctric Flux Density Due To A Sheet Of Charge
Divergence Of Electric Flux Density

Introduction
Current
- Current In Conductors
- Conductivity Of Material
- Various Relations Of Conductivity
- Continuity Equation
- Relaxation Time
Dielectric Materials
- Electric Dipole
- Dipole In Uniform Field
- Properties Of Dielectric Materials
- Dielectric Constant
- Isotropic, Homogeneous & Linear Dielectrics
Potential
- Definition Of Electric Potential
- Potential Difference And Absolute Potential
- Absolute Potential
- Relation Between 'E' & 'V'
- Conservative Field For Maxwell’s Equation
- Unit Of ‘E’ & More Detail About E & V
- Voltage Due To Various Charges Distribution
Capacitor
- Parallel Platecapacitor
- Sphericalcapacitor-Capacitance Of Two Concentric Conducting Spheres
- Capacitance For Coaxial Cable
Energy Density
Poison’s & Laplace’s Equation
Maxwells Two Equations

Introduction
Current
- Current In Conductors
- Conductivity Of Material
- Various Relations Of Conductivity
- Continuity Equation
- Relaxation Time
Dielectric Materials
- Electric Dipole
- Dipole In Uniform Field
- Properties Of Dielectric Materials
- Dielectric Constant
- Isotropic, Homogeneous & Linear Dielectrics
Potential
- Definition Of Electric Potential
- Potential Difference And Absolute Potential
- Absolute Potential
- Relation Between 'E' & 'V'
- Conservative Field For Maxwell’s Equation
- Unit Of ‘E’ & More Detail About E & V
- Voltage Due To Various Charges Distribution
Capacitor
- Parallel Platecapacitor
- Sphericalcapacitor-Capacitance Of Two Concentric Conducting Spheres
- Capacitance For Coaxial Cable
Energy Density
Poison’s & Laplace’s Equation
Maxwells Two Equations

Introduction
- Magnetic Flux
- Magnetic Field Intensity (H)
- Magnetic Flux Density
Biot-Savart’s Law
- Case 1: Magnetic Field Intensity Due To Infinite Long Straight Filament On Point 'P'
- Case 2: Magnetic Field Intensity Due To Finite Length Current Element
- Case 3: Magnetic Field Intensity At The Centre Of Square Current Loop
- Case 4: 'H' Due To Circular Conducting Filament On Pointp:
- Case 5: Relation Between Magnetic Field Intensity (H), Volume Current Density (J) And Surfacecurrent Density (K)
Ampere's Circuitallaw {Or} Amperes Works Law
Applications Of Ampere's Circuital Law
- Case 1: Magneticfield Intensity Due To Long Filamentary Conductor
- Case 2: Magnetic Field Intensity Due To A Coaxial Transmission Line
- Case 3: Curl Of Magnetic Field Intensity And Difference Between Curl Anddivergence
- Case 4: Strokes Theorem For Magnetic Field Intensity

Introduction
- Magnetic Flux
- Magnetic Field Intensity (H)
- Magnetic Flux Density
Biot-Savart’s Law
- Case 1: Magnetic Field Intensity Due To Infinite Long Straight Filament On Point 'P'
- Case 2: Magnetic Field Intensity Due To Finite Length Current Element
- Case 3: Magnetic Field Intensity At The Centre Of Square Current Loop
- Case 4: 'H' Due To Circular Conducting Filament On Pointp:
- Case 5: Relation Between Magnetic Field Intensity (H), Volume Current Density (J) And Surfacecurrent Density (K)
Ampere's Circuitallaw {Or} Amperes Works Law
Applications Of Ampere's Circuital Law
- Case 1: Magneticfield Intensity Due To Long Filamentary Conductor
- Case 2: Magnetic Field Intensity Due To A Coaxial Transmission Line
- Case 3: Curl Of Magnetic Field Intensity And Difference Between Curl Anddivergence
- Case 4: Strokes Theorem For Magnetic Field Intensity

The Magnet
Force On A Movingcharge And Differential Current Element
- Lorentz Force Equation
Force On Differential Current Element
Example: Force Between Line Currents
Force And Torque On A Current Loop Or Force And Torque On A Closed Circuit
- Magnetic Moment
Magnetization
Magnetic Materials
- Electromagnets And Its Important Uses
- Classification Of Magnetic Materials According To Their Alignment Of Magnetic Moment
Magnetic Boundary Conditions:The Borders!

The Magnet
Force On A Movingcharge And Differential Current Element
- Lorentz Force Equation
Force On Differential Current Element
Example: Force Between Line Currents
Force And Torque On A Current Loop Or Force And Torque On A Closed Circuit
- Magnetic Moment
Magnetization
Magnetic Materials
- Electromagnets And Its Important Uses
- Classification Of Magnetic Materials According To Their Alignment Of Magnetic Moment
Magnetic Boundary Conditions:The Borders!

Introduction
- What Is Transverse Wave?
- Longitudinal Wave
- The Problem
Whatis Propagation?
- Lighting The Wave!….And Light Was There.
What Is Light Andwhat Is Frequency? (Waaaave!)
- Frequency And Wave!
Concept Of Polarization
Types Of Waves
Wave Equations
- Wave Equations For Good Conductors
- Wave Equations For Free Space
Relationbetween ‘E’ And ‘H’ ,The Characteristic Or Intrinsic Impedance Of The Free Space Or Transverse Nature Of Wave
Bouncing A Wave!
- Normal Incidenceat A Plane Boundary Of Good Conducting Materials (Standing Wave)
- Normal Incidenceat A Plane Boundary Of Two Perfect Dielectric Materials
- Reflection At The Surface Of A Conducting Medium – Normal Incidence
Poynting Vector And Power Flow Inelectromagnetic Fields
Electromagnetics & Transmission Lines: Overview Of T And Π Networks.
- Two Wire Transmission Lines,
- Primary And Secondary Constants.
- Transmission Line Equations. Infinite Line And Characteristic Impedance- Open And Short Circuit Lines And Their Significance
Introduction To Electromagnetics & Antennas.
Introduction To Electromagnetics & Wireless Communications.

Introduction
- What Is Transverse Wave?
- Longitudinal Wave
- The Problem
Whatis Propagation?
- Lighting The Wave!….And Light Was There.
What Is Light Andwhat Is Frequency? (Waaaave!)
- Frequency And Wave!
Concept Of Polarization
Types Of Waves
Wave Equations
- Wave Equations For Good Conductors
- Wave Equations For Free Space
Relationbetween ‘E’ And ‘H’ ,The Characteristic Or Intrinsic Impedance Of The Free Space Or Transverse Nature Of Wave
Bouncing A Wave!
- Normal Incidenceat A Plane Boundary Of Good Conducting Materials (Standing Wave)
- Normal Incidenceat A Plane Boundary Of Two Perfect Dielectric Materials
- Reflection At The Surface Of A Conducting Medium – Normal Incidence
Poynting Vector And Power Flow Inelectromagnetic Fields
Electromagnetics & Transmission Lines: Overview Of T And Π Networks.
- Two Wire Transmission Lines,
- Primary And Secondary Constants.
- Transmission Line Equations. Infinite Line And Characteristic Impedance- Open And Short Circuit Lines And Their Significance
Introduction To Electromagnetics & Antennas.
Introduction To Electromagnetics & Wireless Communications.