Week 1: Coulomb's law for force between two charges, Experimental verification of Coulomb's law, Force on a charge due to a collection of charges and a continuous charge distribution, Concept of Electric field, Discussion of mathematical properties of electric field, Divergence of a vector field and divergence theorem, Some examples of divergence and Dirac-Delta function, Divergence of Electric field.
Week 2: Application of Gauss's law to obtain electric field for symmetrical charge distributions, Curl of a vector field, Stokes' theorem for curl and its interpretation, Some examples of application of Stokes' theorem, Curl of the electric field due to a charge distribution and its implications, Meaning of Electrostatic potential and its relation with electric field, Calculation of electric potential for a charge distribution and its importance for calculating electric field, Some examples of calculation of electrostatic potential.
Week 3: Energy stored in a charge distribution-I (A collection of point charges), Energy stored in a charge distribution-II (A continuous charge distribution), Energy stored in electric field, Laplace and Poisson's Equation for electric potential, Earnshaw theorem for electric potential and field, Method of images for calculating electric potential, Laplace equation in different natural processes.
Week 4: Spherical and cylindrical coordinate system, Electric field in dielectric materials and related quantities-I, Meaning of polarization and related bound charges, Physical meaning of bound charges for a polarization, Electric field in dielectric materials and related quantities-II, Linear Dielectric and electric field in them, Energy in a charge distribution in presence of a dielectric.
Week 5: Study of static magnetic field, Biot-Savart law:Some examples, Ampere's law and its applications, Magnetic vector potential and equation for it, Multiple expansion for vector potential and magnetic dipole, Magnetism in magnetic material-I, Bound currents corresponding to magnetization.
Week 6: Study of magnetic materials-II, Magnetic Density,auxiliary field and magnetic field, Some solved examples of magnetic density, Magnetism in magnetic materials-Linear magnetic material, Farady's law and electric field due to changing magnetic field-I, Farady's law and electric field due to changing magnetic field-II, Calculation of Induced electric field and quasistatic approximation, Energy stored in magnetic fields.
Week 7: Maxwell's displacement current law and Maxwell's equation, Transport of energy and momentum by electromagnetic field, Study of Electromagnetic waves-I (Wave equation), Single frequency plane waves, Transport of energy and momentum by electromagnetic waves.
Week 8: Maxwell's equation for linear dielectric and magnetic media and the refractive index of these materials, Reflection and Transmission of light falling on a linear dielectric, Generation og electromagnetic waves (radiation), Emission of electromagnetic waves(radiation) by an accelerating charge.
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