Electromagnetics Basics | Coordinate Systems | Integrals | Differentials

# Electromagnetics | Basics | Coordinate Systems | Integrals | Gradient | Divergence | Curl

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This course deals with all the Electromagnetics Basics that will be required to prepare Electromagnetic Theory for GATE, ESE, and similar exams.

## What will you get from Electromagnetics Basics course?

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 Basics, starts with the fundamental concept of Coordinate systems. All over the subject, we are going to deal with Electric field, magnetic field, EM wave propagation, wave along the transmission line, etc. that means plenty of vectors and their functions along with space locations. So any student must have the complete knowledge of representation of any point or vector in the space using a suitable Coordinate System.

In Electromagnetics, we use THREE different types of coordinate systems viz. Cartesian, Cylindrical, and Spherical.  I have explained them in full depth with all corners covered. Because I know that once the student gets enough confidence in these coordinate systems, he/she will study EMT with spontaneous interest. Not only I have explained the conventional formulas and theories, but also I have extended the lectures to many concepts like constant coordinate surfaces, lines, etc. which are tremendously helpful as one moves forward in the syllabus. I have explained the conversion between the coordinate systems with an innovative approach for better understanding.

The next fundamental tool, which is the significant and extensive part of Electromagnetics, is INTEGRAL CALCULUS. It consists of line, surface, and volume integrations. Maybe you are already aware of these integrals, but I have molded them in EMT manner. While preparing for EMT, many of the students hop into the core part of the subject and get confused by scary integrations. In the lectures of Integral Calculus of this course, Electromagnetics Basics, I have taken care that this must not happen to my students. I have covered every corner of Integrals viz Line, Surface, and Volume with an intuitive approach to get on with the hardest possible EMT integration.

Another fundamental tool is DIFFERENTIATION in Electromagnetics viz. The gradient of Scalar fields along with the Divergence and Curl of Vector fields. Here I have intuitively differentiated scalar and vector fields, the physical interpretations of Gradient, Divergence, and Curl and off course their required formulas. Proper understanding of these differentials is a crucial part of deriving Maxwell’s equations, and I have framed this content accordingly.

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 this Course “Electromagnetics Basics”

The knowledge of Vectors (Representation, Magnitude, Unit vector, etc.) is expected but not necessary.

Good Luck!

## Course Content

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Rectangular (Cartesian) Coordinate System (23:52)
Cylindrical Coordinate System (23:01)
Spherical Coordinate System (22:34)
Vector Representation in Different Systems (12:26)
Conversion between Cartesian and Cylindrical Systems (28:29)
Conversion between Cartesian and Spherical Coordinate Systems (27:15)
Line Integration in Electromagnetics (28:31)
Surface Integration in Electromagnetics (35:17)
Volume Integration in Electromagnetics (22:34)
Gradient of a Scalar Field (28:33)
Divergence of a Vector Field (22:37)
Curl of a Vector Field (27:46)
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