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## Syllabus

Electrostatics: Gauss’s law and its applications, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-Savart law, Ampere’s theorem. Electromagnetic induction. Maxwell’s equations in free space and linear isotropic media; boundary conditions on the fields at interfaces. Scalar and vector potentials, gauge invariance. Electromagnetic waves in free space. Dielectrics and conductors.Reflection and refraction, polarization, Fresnel’s law, interference, coherence, and diffraction. Dynamics of charged particles in static and uniform electromagnetic fields.

Dispersion relations in plasma. Lorentz invariance of Maxwell’s equation. Transmission lines and wave guides. Radiation- from moving charges and dipoles and retarded potentials.

### Course Curriculum

 COULOMB LAW AND ELECTRIC FIELD Coulombs Law 00:35:00 Electric Field 00:56:00 Electric Flux 01:26:00 GAUSS LAW OF ELECTROSTATICS AND APPLICATIONS Gauss Law of Electrostatics 02:03:00 Determination of Charge Distribution on Conductors using Gauss Law 00:59:00 Electrostatic Potential 00:51:00 Capacitance 00:32:00 Force on Charged Surface 00:17:00 MULTIPOLE EXPANSION OF CHARGE DISTRIBUTION Introduction to Dipole and Quadrupole 01:26:00 Multipole Expansion FREE 00:44:00 Problems on Multipole Expansion 00:35:00 POLARIZATION OF DIELECTRICS Polarization of Dielectrics 01:04:00 Problems on Field Calculation 00:35:00 Boundary Condition of Polarization 00:17:00 Problems on Calculation of Bound Charges 00:35:00 Boundary Condition of D and E 00:47:00 Effect of Polarization on Capacitance FREE 01:20:00 Capacitors 01:01:00 WORK AND ENERGY IN ELECTROSTATICS Electrostatic Energy 00:52:00 Problems on Electrostatic Energy 00:33:00 Problems on Work and Energy 00:53:00 Electrostatic Energy in Dielectrics FREE 00:31:00 BOUNDARY VALUE PROBLEMS Boundary Value Problems 00:51:00 Uniqueness Theorems 00:31:00 Laplace Equation in Spherical Polar Coordinates 01:18:00 Method of Images 01:08:00 MAGNETOSTATICS Motion of Charged Particle in Magnetic Field 00:37:00 Biot Savart Law 00:48:00 Gauss law of Magnetostatics 00:14:00 Ampere Law 01:19:00 Magnetic Dipoles and Force on Current Carrying Conductor 01:04:00 FARADAY LAW OF ELECTROMAGNETIC INDUCTION Faraday Law and Induced EMF 00:39:00 Problems on Faraday Law 01:15:00 MAGNETIC MATERIALS Magnetisation and H Vector 00:49:00 Boundary Conditions of B and H 00:29:00 Ferromagnetism 00:21:00 MAXWELL EQUATIONS Maxwell Equations 01:13:00 Electromagnetic Potential 01:23:00 Maxwell Equation in terms of EM Potential 00:46:00 POYNTING VECTOR Poynting Vector 01:14:00 ELECTROMAGNETIC WAVES EM Waves in Free Space and Isotropic Dielectric Medium 00:46:00 Problems on EM Waves 00:38:00 EM Waves in Conducting Medium 00:56:00 Properties of EM Waves in Conducting Medium 00:59:00 REFLECTION AND REFRACTION OF EM WAVES AT THE INTERFACE OF TWO DIELECTRICS Kinematic Properties 00:36:00 Fresnel Formula 01:41:00 Total Internal Reflection 00:39:00

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