The course covers topics on coulomb’s law, laplace’s equation for electrostatic potential, conductors and capacitors,magnetic field due to a magnet, magnetic fields in matter,maxwell’s equations, wave equation.
Week No.
Topics
1
Coulomb’s law
Divergence of electric field
Gauss’ law
Curl of electric field
Stokes’ theorem
Electrostatic potential
2
Laplace’s equation for electrostatic potential
Laplace’s equation in other fields
Uniqueness of solution of Laplace’s equation
Poisson equation and uniqueness of its solution
Method of images for planar surfaces
Work and energy in electrostatics
3
Conductors and capacitors
Reciprocity theorem
Polarization and bound charges
Linear dielelctrics
Electric displacement
Fields in dielectrics
4
Magnetic field due to a magnet
Magnetic field due to a steady current
Divergence and curl of magnetic field
Ampere’s law
The vector potential
Magnetization and bound currents
5
Magnetic fields in matter
Magnetic field in matter
Faraday’s law
Induced electric field
Energy in magnetic field
Displacement current
6
Maxwell’s equations
Work done by electromagnetic field
Poynting’s theorem
Momentum in electromagnetic field
Angular momentum in electromagnetic field
Electromagnetic waves: the wave equation
7
Wave equation
Plane electromagnetic waves
Energy carried by electromagnetic waves
Pressure due to electromagnetic waves
Reflection and transmission of electromagnetic waves
Reflection and transmission of electromagnetic waves
12th grade physics; spherical and cylindrical coordinates; introductory vector calculus
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