# Video Lectures

# Electromagnetics

1.1 Prerequisites For Electromagnetics

In this video I have discussed some prerequisites required to learn subject Electromagnetics.

1.1 Coordinate Systems Introduction

In this video coordinate systems used in the subject of Electromagnetics have been introduced. Click here for video

1.2 Cartesian Coordinate System Click here for video

In this video Cartesian coordinate systems required in the subject of Electromagnetics have been introduced.

1.3 Cylindrical Coordinate System. Click here for video

In this video Cylindrical coordinate system, Unit vectors, Dot products, differential length, differential surface and differential volume have been discussed.

1.4.1 Spherical Coordinate System Click here for video

In this video Spherical coordinate system, Unit vectors, Dot products, differential length, differential surface and differential volume have been discussed.

1.4.2 Spherical Coordinate Differential Length Surface And Volume Click here for video

Spherical coordinate system, differential length, differential Surface and differential volume are discussed in this video

1.5 Line Surface Volume Integral and DEL operator Click here for video

Concepts of Line Integral, Surface Integral, Volume Integral are introduced here. DEL operator and its applications in Electromagnetics have been discussed.

1.6.1 Divergence of a Vector Field Click here for video

Concept of divergence, its physical significance and related equations have been explained in this video.

1.6.2 Curl of a Vector Field Click here for video

Curl of a Vector field, its physical significance and and mathematical equations in Cartesian , Cylindrical and Spherical Coordinates have been discussed in this video.

1.6.3 Stokes Theorem And Laplacian Operator Click here for video

1.7.1 Coulombs Law with Solved Example Click here for video

Concept and equations of Coulomb's Law have been described in this video. To understand the concepts one solved example has been discussed at the end.

1.7.2 Coulombs Law and Electric Field Intensity Click here for video

1.7.3 Electric Field Intensity Because of Various Charge Distributions Click here for video

1.7. 4 Electric Flux Density Click here for video

The concept of Electric Flux Density has been explained in this video. How to find out the flux passing through any surface is also explained.

1.8.1 Gauss Law Click here for video

The concept of Electric Flux Density and Gauss's law has been explained in this video. Integral form and differential (or point ) form of Maxwell's first equation has been explained.

1.8.2 Application of Gauss Law to Point charge infinite Line Charge and Infinite Sheet of Charge. Click here for video

Application Gauss's Law has been described to determine Electric Flux Density because of Point Charge, Line Charge and Infinite Sheet of Charge

1.8.3 Application of Gauss Law to Uniformly Charged Sphere

Application Gauss's Law has been described to determine Electric Flux Density because of Uniformly Charged Sphere.

The concept and equations of Electric Potential have been discussed in this video.

1.9.2 Relation between Electric Potential V and Electric Field Intensity E

Relationship between Electric Potential and Electric Field Intensity E has been derived and discussed in this video. One example has been solved at the end of the video to understand the concepts discussed in the video

2.1 Current Density and Continuity Equation of Current

Concepts of Current Density, Continuity equation based of Law of Conservation of charge has been discussed in this video. Point (differential ) form and Integral form of Continuity equation has been described. Continuity equation for steady currents has been explained.

2.2.1 Properties of Conductors

Properties of conductors like Resistance under the influence of Uniform and Non Uniform field have been discussed in this video.

2.2.2 Boundary Conditions between Conductor and Free Space or Dielectric Boundary conditions between Conductor and Free space or dielectric, have been discussed in this video. Tangential and normal components of Electric Flux Density and Electric Field Intensity at the boundary between conductor and free space have been derived .

2.3 Dielectric Materials Polarization and Dielectric Constant

Properties of dielectric materials like polarization and susceptibility have been discussed.

Effect of polarization on Electric Flux Density have been explained.

2.4 Boundary Conditions between two Perfect Dielectrics with Solved Example Boundary conditions between two perfect dielectrics i.e. normal and tangential components of Electric Field Intensity and Electric Flux Density have been derived.

One solved example has been discussed.

2.5.1 Concept of Capacitance and Capacitors in Series and Parallel

Having knowledge of the geometry of the capacitors, the procedure to determine capacitance of the system has been discussed. Equivalent capacitance of series and parallel combinations of capacitors have been determined.

2.5.2 Parallel Plate Capacitor and Energy Stored in Capacitor

Parallel plate capacitor and determination of its capacitance from the knowledge of its geometry have been discussed. Equations for Energy stored in capacitor have been explained.

2.5.3 Cylindrical and Spherical Capacitor

Expression for following shapes of capacitance have been derived in this video

1) Cylindrical Capacitor

2) Spherical Capacitor

3) Isolated Spherical Capacitor

4) Isolated Sphere Coated with Dielectric

2.6 Laplace's and Poisson's Equations with four Solved Examples on Capacitors

How to use Laplace's and Poisson's equations to solve capacitor problems have been explained in this video.

In this video statement of Biot Savart Law has been explained and its possible applications have been discussed.

3.1.2 Magnetic Field Intensity due to Straight Conductor using Biot Savart Law with Solved Examples

Magnetic field intensity due to

1) Infinitely Log straight conductor

2) Infinite length straight conductor

3) Finite length straight conductor have been discussed. Three solved problems based on above concepts have been covered.

3.1.3 Magnetic Field Intensity due to Current through a Circular Loop using Biot Savart Law

Expression for Magnetic field intensity at the center of a circular conductor has been derived.

3.2.1 Ampere’s Circuital Law: Magnetic Field due to Infinite wire, Cylinder and Infinite Sheet

In this video statement and proof of Ampere's Circuital Law have been discussed.

3.4 Magnetic Scalar and Vector Potential

Concept of Scalar and Vector Potential and its applications have been discussed.

Faraday's Law for following three situations have been discussed in this video

1. A time-changing flux linking a stationary closed path

2. Relative motion between a steady flux and a closed path

3. A combination of the two

Mathematical equations of displacement current and its physical significance have been discussed in this video

In this video Maxwell's Equations for static and time varying fields have been described.

4.4 Wave Equations in Electromagnetic Wave

General Wave Equations in Electromagnetic Wave have been discussed in this video for E, D, B and H.

4.5 Poynting Vector and Poynting Theorem

Concept of Power flow for Electromagnetic Waves have been explained with Poynting Vector and Poynting Theorem.

Derivation of Poynting Theorem has been covered.

One Solved Example have been covered to explain the concept of power flow.