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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.

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