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syllabus
Introduction to Electromagnetic Theory. Review of vector calculus- curl, divergence gradient Rectangular, cylindrical and spherical coordinate systems. Expression of curl divergence and Laplacian in cartesian , cylindrical and spherical coordinate system. Electric field and magnetic field.Review of Coulomb's law, Gauss law and Amperes current law. Poisson and Laplace equations, Determination of E and V using Laplace equation.
Video Lectures
Introduction to Electromagnetics | Electromagnetics - Module 1 | Lecture 1
Topics covered
Introduction to Electromagnetics & EM waves
Vector calculus | Electromagnetics - Module 1 | Lecture 2
Topics covered
Review of Vector calculus
Scalar & Vector, Unit Vector, Position Vector, Distance Vector
Vector addition & subtraction | Electromagnetics - Module 1 | Lecture 3
Topics covered
Vector addition & subtraction
Vector multiplication | Dot & Cross product | Electromagnetics - Module 1 | Lecture 4
Topics covered
Vector multiplication
Scalar product or dot product
Vector product or cross product
Introduction to Divergence & Curl | Electromagnetics - Module 1 | Lecture 5
Topics covered
Introduction to Divergence & Curl
Introduction to coordinate systems | cartesian, cylindrical, spherical | EM - Module 1 | Lecture 6
Topics covered
Introduction to coordinate systems
Cartesian coordinate system
Cylindrical coordinate system
Spherical coordinate system
Relationship between cartesian and cylindrical coordinate system | EM - Module 1 | Lecture 7
Topics covered
Relationship between cartesian and cylindrical coordinate system
Relationship between cartesian and spherical coordinate system | EM - Module 1 | Lecture 8
Topics covered
Relationship between cartesian and spherical coordinate system
Differential Length, area & volume | vector calculus | EM - Module 1 | Lecture 9
Topics covered
Vector Calculus
Differential Length, Area & volume
Cartesian system, Cylindrical system, Spherical system
Line, Surface & volume Integral | EM - Module 1 | Lecture 10
Topics covered
Line integral
Surface integral
Volume integral
Line, Surface & volume Integral | EM - Module 1 | Lecture 10
Topics covered
Line integral
Surface integral
Volume integral
DEL Operator | Gradient of a Scalar | EM - Module 1 | Lecture 11
Topics covered
DEL Operator
Gradient of a scalar
Divergence of a vector | EM - Module 1 | Lecture 12
Topics covered
Divergence of a vector and its proof
Divergence theorem | EM - Module 1 | Lecture 13
Topics covered
Divergence theorem
CURL of a vector | EM - Module 1 | Lecture 14
Topics covered
Curl of a vector and its proof
Stoke's Theorem | EM - Module 1 | Lecture 15
Topics covered
Stoke's theorem and its proof
Laplacian of a vector & scalar | EM - Module 1 | Lecture 16
Topics covered
Laplacian of a vector and scalar
Electrostatics & Coulomb's Law | EM - Module 1 | Lecture 17
Topics covered
Introduction to electrostatics
Coulomb's law expression and different representations
Electric field Intensity (E) & Electric flux density (D) | EM - Module 1 | Lecture 18
Topics covered
Introduction Electric field intensity (E)
Electric field due to continuous charge distribution
line charge, surface charge & volume charge distribution
Electric flux density (D)
Gauss's Law & Ampere's Circuit Law | EM - Module 1 | Lecture 19
Topics covered
Gauss's Law
Deriving First Maxwell's equation from Gausses law
Ampere's Circuit Law
Deriving third Maxwell's equation from Ampere's law
Potential difference (V) | Relationship between E & V | EM - Module 1 | Lecture 20
Topics covered
Potential difference (V)
Relationship between electric field intensity (E) & potential difference (V)
Poisson's & Laplace Equation | EM - Module 1 | Lecture 21
Topics covered
Poisson's & Laplace equations
Applications
Derivation of Coulomb's law from Gauss's Law | EM - Module 1 | Lecture 22
Topics covered
derivation of Coulomb's law from Gauss's Law
Applications of Gauss's Law | EM - Module 1 | Lecture 23
Topics covered
Applications of Gauss's Law
1. Point charge
2. Infinite Line charge distribution
3. Infinite surface charge distribution
4. Uniformly charged sphere
Applications of Gauss's Law | EM - Module 1 | Lecture 23
Topics covered
Applications of Gauss's Law
1. Point charge
2. Infinite Line charge distribution
3. Infinite surface charge distribution
4. Uniformly charged sphere
Proof - Divergence of Curl of A Vector | EM - Module 1 | Lecture 24
Topics covered
Show that divergence of the curl of any vector field is zero
Show that curl grad F and div curl F are identically zero.
Problem & Solution - Finding Divergence & Curl of a vector | EM - Module 1 | Lecture 25
Topics covered
Q) Find the divergence and curl of a given vector
Problem & Solution - Finding Divergence & Curl of a vector -cylindrical | EM - Module 1 | Lecture 26
Topics covered
Q) Find the divergence and curl of a given vector
Cylindrical coordinate system - vector
Pro & Sol - Finding Laplacian of a scalar(Cartesian & Cylindrical) | EM - Module 1 | Lecture 27
Topics covered
Q) Finding the Laplacian of the scalar field
1) cartesian coordinate system
2) Cylindrical coordinate system
Problem & Solution-Calculation of E from spherical charge distribution | EM - Module 1 | Lecture 28
Topics covered
Q) A charge distribution with spherical symmetry has a rho value given, determine E everywhere
Problem & Solution-Calculation of E from spherical charge distribution | EM - Module 1 | Lecture 29
Topics covered
Q) A spherical volume charge distribution is given by a rho value, Find the electrical field intensity E; 1) Inside and 2) outside the charge distribution
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