Lecture 1 of 84Week 1
Vector algebra
Prof. Nirmal Ganguli · IISER Bhopal
Credits and licence
- From
- Electromagnetism, IISER Bhopal (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Vector algebra
- Vector algebra in component form
- Vector triple products
- Vector differential calculus: Gradient
- Divergence
- Curl
- Tutorial on differential vector calculus
- More problems on vector differential calculus
- Vector integral calculus: Line integral
- Surface integral
- Volume integral
- Fundamental theorems of vector calculus: The gradient theorem
- The divergence theorem (Gauss's theorem)
- The curl theorem (Stokes' theorem)
- Curvilinear coordinates: Cartesian vs. Polar
- Generic curvilinear coordinate systems: Unit vectors and components
- Differential vector calculus in curvilinear coordinate systems
- Special curvilinear coordinate systems: Cylindrical and spherical
- Vector calculus in spherical coordinate system
- Vector calculus in cylindrical coordinate system
- Introduction to Dirac delta function
- Tutorial on vector calculus and curvilinear coordinates
- Introduction to electrostatics
- Continuous charge distribution: Line charge
- Electric field due to a line charge distribution
- Electric field lines, Flux, Gauss law
- Application of Gauss law with cylindrical symmetry
- Application of Gauss law on a flat 2D surface
- Tutorial on Dirac delta function and electrostatics
- Tutorial on electrostatics
- The curl of an electric field
- Scalar potential
- Calculation of electric potential from different approaches
- Boundary conditions on electric field and potential
- Work and energy of an assembly of point charges
- General idea of energy in electrostatics
- Electrostatics with conductors
- Capacitors
- Laplace equation
- Boundary conditions and the uniqueness theorems
- The method of images
- Induced charge
- Force and energy
- Another example of the method of images
- Electric dipoles
- Multipole expansion, continuous charge distriution, and assembly of point charges
- Electric field due to a dipole
- Introduction to electric polarization in matter
- Electric polarization and bound charges
- Electric displacement vector and Gauss law
- Boundary conditions on the displacement vector and linear dielectric materials
- Parallel plate capacitors
- Energy in dielectric materials
- Force on dielectric materials
- Motion of a charged particle in electromagnetic field
- Work done by a magnetic field
- Electric current
- Surface and volume current
- Biot Savart law
- Biot Savart law with surface and volume currents
- A tutorial on currents and magnetic field
- Straight line current: Curl of the magnetic field
- Divergence and curl of a generic magnetic field
- Ampere's law in integral form and its applications
- Magnetic field in a long solenoid
- A comparison between electrostatics nad magnetostatics
- Magnetic vector potential
- Tutorial on magnetic fields
- Calculation of vector potential
- Boundary conditions on magnetic field
- Magnetic dipole
- Multipole expansion of the vector potential
- Magnetism, force and torque on magnetic dipole
- Fringing magnetic field
- Magnetization
- A tutorial on the magnetic dipole moment
- Ampere's law in magnetized materials
- Electrodynamics
- Electromagnetic induction
- Laws of electromagnetism so far
- Maxwell's correction to electromagnetism
- Fictitious discussion about symmetry
- Maxwell's equations in matter and the boundary conditions
- Live Session 19-02-2021