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Line, surface area and Volume element in Spherical Polar Coordinates
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Classroom Contents
Introduction to Electromagnetism
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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
