Electromagnetics | Electrostatics | Fundamental Laws and Concepts | Field in Materials | Boundary Conditions
This course deals with all the concepts of Electromagnetics Electrostatics that will be required to prepare Electromagnetic Theory for GATE, ESE, and similar exams.
What will you get from Electromagnetics Electrostatics course?
|Key Topics||Duration (hh:mm:ss)|
|Work, Potential and Energy||01:48:26|
|Field in Materials||01:39:50|
|Boundary Condition Relations||01:00:54|
|Poisson’s and Laplace’s Equations||22:12|
Electromagnetics mainly deals with EM waves, their origin from Maxwell’s equations and their propagation. But the story of EM waves has to be started from the Electric field, Magnetic field, and their static and time-varying relations. Electromagnetics is revolving around Maxwell’s equations.
This course, Electromagnetic Electrostatics, starts with the fundamental law of Electrostatic Fields that is Coulomb’s Law. It is a basic law of our Electromagnetism which is already known to us. But to have integrity in the content, I have discussed Coulomb’s Law concerning crucial concepts like vector form.
You cannot imagine Electrostatics without an Electric Field. I have explained the concept of an Electric Field in full depth with all corners covered. Because I know, you could not survive in the EMT without the sound knowledge of an Electric Field. Not only I have explained the conventional formulas and theories, but also I have extended the lectures to understand the proper application of Coordinate Systems for given charge distributions. I have explained the fields due to distributed charges like line and surface with an innovative approach so that students can get a master procedure for solving such Numerical.
The next fundamental tool for your EMT is Gauss’s Law. This is going to present us one of Maxwell’s equations. I have discussed Gauss’s Law with no corner untouched. All the minute points starting from Flux Density, Flux, Surface integration, Closed Surface etc. all are covered.
Electrical Work, Potential and Energy! Quite related things forming another backbone of your Electromagnetics Electrostatics Course. These concepts are crucial not only for the study of Electrostatics but also for the entire EMT. And hence I have dedicated a substantial amount of time for these fundamental concepts. I have intuitively explained and related these concepts of Work, Potential and Energy to wipe out the smallest possibility of any doubt.
Electric Field doesn’t behave equally in all the Materials and hence you should know the behavior of the field within different materials. This may be the stuff which could appear directly in your GATE/ESE exam. Proper knowledge of Conductors and Dielectrics with all their properties, is vital for your EMT study. I have dedicated ample time explaining the conductors, their electrostatic equilibrium, current flow within them etc. with all the formulas and equations. Here you will find the introduction of many concepts like conductivity, drift velocity, mobility etc. which are extremely important for the later part of Electromagnetics. Having analysed the Conductors in full depth, I have made the Dielectrics simple for you particularly the Polarization. I have differentiated Conductors and Dielectrics based on different properties, which you must know in EMT.
It may happen that the field is passing from one type of medium to another and hence Boundary Condition relations come into picture. This is another stuff which you expect directly in your GATE/ESE exam. But you will experience the real significance of Boundary Conditions in the study of EM waves. I have explained all the necessary Boundary condition relations i.e. Dielectric-Dielectric, Dielectric-Conductor etc with proper illustrative numerical.
Finally, few electrostatic problems involve the derivations of field parameters of the medium from the known values of charge or potential at the boundaries. Such problems are called as Boundary value problems and dealt with by Poisson’s and Laplace’s equations. So here I have discussed them and introduced a new operator called as Laplacian operator.
Finally, with my long experience of teaching many students, I know that usually, a student finds difficulty in understanding the Electromagnetics because of lack of visualizations of all these abstract things. So I have tried to solidify the concepts with the help of 3D illustrations.
Prerequisite before taking the Course
I would strongly suggest you to take this course after finishing the Basics Course.
- Lectures 32
- Quizzes 0
- Duration 5 Weeks
- Skill level All levels
- Language English
- Students 1
- Assessments Yes
Random Free Preview Footages of the Course
- What are the Cylindrical Coordinates of the Origin?
- What is Electric Flux Density (D) & how it is related to E?
- Gauss’s Law – An Illustrative Numerical
- Difference between “Electrical work done by the Field” and “Electrical work done on the field”.
- Why is Electrical Work independent of the Path between points?
- How to draw Electric Field graphs from Potential graphs?
- What is current density (J)? Its Significance and Derivation.
- What is Linear, Isotropic and Homogeneous Medium?
- What is relaxation time for conductors and dielectrics?
- Why is the Electric field normal to the Conductor Surface?
Coulomb's Law (14:16)
Electric Field (01:45:00)
- Idea of Electric Field, Definition, expression and significance of an Electric Field, Vector and Scalar expressions for the same (16:23)
- Illustrative Numerical for Electric Field and Concept of Phi and Theta of the Origin with numerical (28:10)
- Electric Field due to distributed charge systems viz. infinite line charge, infinite surface charge (26:55)
- Illustrative Numerical for finding Electric Field involving continuous charge distributions (line, surface) (33:32)
Gauss's Law (43:41)
Work, Potential and Energy (01:48:26)
- Electrical Work: definition and expression, Nature (on the E/by the E) of the Work (15:39)
- Potential Difference: Significancance, Derivation from work formula, Introduction to Absolute Potential (18:43)
- Relation between Absolute Potential and P.D., Independency of Work on Path, Relation between E and V (25:16)
- Illustrative Numericals: Finding Work within Field, Independency of the Work over the Path, Absolute Potential and P.D., Relation between E and V (23:05)
- Energy and Energy Density in Electrostatic Fields (25:43)
Field in Materials (01:39:50)
- Types of Materials based on conductivity, Current and Current Density, Continuity equation (24:58)
- Study of Conductors under the Electric Field: Electrostatic equilibrium, Conduction current density (31:16)
- Dielectrics under the Electric Field: Polarization, Expression of D; Linear, Isotropic and Homogeneous Materials (30:50)
- Difference between Conductors and Dielectrics, Concept of relaxation time for the materials and its expression (12:46)
Boundary Condition Relations (01:00:54)
Poisson's and Laplace's Equations (22:12)