Gradient, Divergence, and Curl Explained: Essential Vector Calculus

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Gradient, Divergence, and Curl is explained with the following Timestamps:

0:00 Introduction
0:03 Electromagnetics
1:07 Basics of Gradient
4:20 Example of Gradient Find gradient of function Fat point (1,2,3)
7:15 Basics of Divergence
12:19 Example of Divergence Find divergence of function Fat point (1, 2, 1)
14:02 Basics of Curl

Gradient, Divergence and Curl is explained with the following Outlines:

0. Gradient
1. Basics of Gradient
2. Gradient function
3. Divergence
4. Basics of Divergence
5. Divergence Function
6. Meaning of Divergence
7. Curl
8. Basics of Curl
9. Curl Function
10. Meaning of curl

Chapter-wise detailed Syllabus of the Electromagnetics Theory Course is as follows:

Basics of Vector, Parameters of vector, Examples of Vector, Coordinate Systems, Magnitude and direction of vector, Dot and Cross multiplication of Vector, Resultant of vector, Law of parallelogram, Law of polygon, Cartesian Coordinate System, Cylindrical Coordinate System, Spherical Coordinate System, Conversion of Coordinate System.

Coulomb's Law, Electric Field, Electric Flux, Gauss's Law for Electric field, Electric Dipole, Electric Potential, Boundary Conditions of Electric field, Capacitor and Capacitance.

Biot Savart Law, Ampere Circuit Law, Maxwells Equations, Magnetic Field, Gauss's Law for Magnetic field, Examples of Magnetic field, Vector Magnetic potential, Faraday's Law, Boundary conditions of Magnetic field, Induction and Inductance.

EM wave propagation, Plane EM wave in medium, Skin Effects, Intrinsic Impedance, Loss tangent of medium, Pointing Theorem, Examples on EM wave propagation.

Basics of Transmission Line, Parameters of Transmission Line, Types of Transmission Line, Examples of Transmission Line, Impedance matching of Transmission Line, Losses in Transmission Line, Transmission Line Parameters {Propagation constant, Phase constant, Attenuation constant, Characteristics Impedance, Reflection Coefficient, Transmission Coefficient, VSWR, Input Impedance, Line Impedance}.

Basics of Smith Chart, Mathematics of Smith Chart, Examples of Smith Chart, Examples of smith chart using following parameters: VSWR, Reflection Coefficient, Load Impedance, Input Impedance, Line Impedance, Vmax and Vmin location, Admittance, Parallel stub Impedance matching, Series stub Impedance matching.

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Electromagnetic Theory.

#Gradient #Divergence #Curl @EngineeringFunda
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EngineeringFunda
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I'm in third year and never gave time to understand these things in details always had confusion.. Watching this my doubts are cleared and I noted everything down...Will forever remember you through notes .

knightrises
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As a btech 1st year student looking for quick and effective lecture on this topic, I found gem. 😊

aditia.
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Wow!!.. This guys adds essence to engineering

sourabh
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I was struggling last week in these topics and now you make it so simple . Thank you sir 🙏

Geek_God
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the examples you have given against each of them, were the key things to understand better Grad, Div & Curl.. ✅✔️
physical significance makes more sense in such hyper realism.. ☑️
so much appreciative efforts Sir ✨

arijit
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Thank you so much sir. I have been struggling with this subject. But now I am so happy that I have got your videos.

navenamurugaiyan
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Just-random-creations
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