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1
Coloumb's Law
2
Coloumb's Force due to several Point charges
3
Force due to distribution of Charges
4
What is an Electric Field?
5
Electric Field due to a Charged Distribution
6
Helmholtz's Theorem for Electric Field
7
Divergence of a Field
8
Divergence of Electric Field & Gauss's Law
9
Curl Of a Field-I
10
Curl of a Field-II & Stokes' Theorem
11
Line, Surface Area and Volume elements in Cartesian and Cylindrical Coordinates
12
Line, surface area and Volume element in Spherical Polar Coordinates
13
Applications of Divergence and Stokes theorem
14
Electrostatic potential
15
Electric field as a gradient of potential
16
Laplace's and Poisson's Equation for Electrostatic Potential
17
Electrostatic Potential due to charge distribution-I Line Charge of finite length
18
Electrostatic Potential due to charge distribution-II , Ring and spherical shell of charge
19
Uniqueness of solution of Laplace's and Poisson's equations
20
Method of Images-I, Point charge in-front of grounded metallic plane
21
Method of images I; point charge in front of a grounded metallic plane and grounded metal sphere
22
Laplace’s equation in some other physical phenomena
23
Energy of a charge distribution - I
24
Energy of a charge distribution II – an example
25
Energy of a charge distribution III – energy density in terms of electric field
26
Electric field and potential in a conductor
27
Reciprocity theorem for conductors I
28
Reciprocity theorem for conductors II – an example
29
Electric polarization and bound charges I
30
Electric polarization and bound charges II
31
Electric Displacement
32
Electrostatics in presence of dielectric materials - I
33
Electrostatics in presence of dielectric materials - II
34
Introduction to Magnetostatics; the Bio-Savart law
35
Divergence and curl of magnetic field
36
Ampere’s law for magnetic fields
37
Vector potential for magnetic fields
38
Calculation of vector potential for a given magnetic field
39
Equation for the vector potential in terms of current density
40
Vector potential from current densities - I
41
Vector potential from current densities - II
42
Magnetic materials I
43
Magnetic materials II – bound currents and densities
44
The auxiliary field -
45
Solving for magnetic field of a magnet I
46
Solving for magnetic field of a magnet in presence of magnetic materials
47
Faraday’s law
48
Induced electric field due to changing magnetic field
49
Lecture 49
50
Energy stored in a magnetic field - I
51
Energy stored in a magnetic field II
52
Displacement current
53
Quasistatic approximation
54
Energy transport by electromagnetic field -
55
The Poynting vector
56
Linear momentum and angular momentum
57
Waves and wave equation
58
Electromagnetic waves in free space I
59
Electromagnetic waves in free space II
60
Energy, intensity and momentum carried by electromagnetic waves
Description:
INTENDED AUDIENCE: 1st & 2nd year B. Tech. in Civil, Mechanical, Aerospace and B.Sc. Students. COURSE PLAN: This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days. Due to general nature of the mathematics they learn in this course, what they learn here will help them in their future courses like fluid dynamics that use similar mathematics.

Introduction to Electromagnetism

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#Science #Physics #Electromagnetism #Electromagnetic Waves #Electric Fields #Gauss's Law #Coulomb's Law #Magnetostatics #Faraday's Law #Mathematics #Differential Equations #Partial Differential Equations #Laplace's Equation
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Coloumb's Law