SYLLABUS 1 ELECTROSTATICS Introduction, Experimental facts, Coulomb's Law, Units, Principle of Superposition, Force Field, Concept of Electric Field, Representation of an E field. 2 THE ELECTRIC FIELD Introduction, Discrete charges: Electric dipole, Continuous charge distributions, Flux, Gauss' Law. Appendix: Derivation of Gauss' Law 3 GAUSS'S LAW Introduction, Flux of vector field, Gauss' Law, Symmetry, Spherical symmetry, Cylindrical symmetry, Plane symmetry, Motion of point charges in electric fields. 4 ELECTRIC POTENTIAL Introduction, Electric potential energy, Electric potential, V for a system of point charges, V for a continuous charge distribution, Determination of E field from electric potential, Circulation of a static electric field, Maxwell's equations for electrostatics. 5 CONDUCTORS IN ELECTRIC FIELDS Introduction, Electric conductors, Applications, Calculation of E field in presence of conductors, Capacitance, Energy in capacitors. 6 ELECTRIC FIELDS IN DIELECTRICS Introduction, The electric dipole, Dielectric polarization, Electric field in dielectrics, Boundary conditions, Capacitance and dielectrics, Energy density in matter. 7 ELECTRIC CURRENT Introduction, Electric current, Charge conservation, Electric conductivity, Microscopic picture, Electric power, Electromotive force, Kirchhoff's rules. 8 MAGNETISM Introduction, Electromagnetism, The Lorentz force, Units, Motion of point charges in uniform magnetic fields, Magnetic forces on electric currents, Force on a current loop. 9 SOURCES OF MAGNETIC FIELD Introduction, Magnetic field due to a moving point charge, Units, Biot-Savart Law, Forces between circuits. 10 AMPERE'S LAW Introduction, Gauss's Law for magnetism, Ampere's Law, Applications of Ampere's Law. 11 MAGNETISM IN MATTER Introduction, Magnetic dipole, Microscopic magnetism in matter, Magnetic behavior of matter, Boundary conditions, Electromagnet, Magnetic energy density. 12 MAGNETIC INDUCTION Introduction, Induced currents, Faraday's Law, Applications, Impact of Faraday's Law on Maxwell's Equations. 13 INDUCTANCE Introduction, Self inductance, Mutual inductance, Transformer, LR circuits, RLC circuits, Applications, Magnetic energy. 14 MAXWELL'S EQUATIONS Introduction, Electrodynamics before Maxwell, Displacement current, Maxwell's equations. 15 ELECTROMAGNETIC WAVES IN VACUUM Introduction, Mathematics of waves, Maxwell equations for vacuum, Transverse plane wave, Relation of E and B fields, Wave equation, Generation of electromagnetic waves. 16 ELECTROMAGNETIC WAVES IN MATTER Introduction, Electromagnetic spectrum, Energy and momentum in electromagnetic waves, Electromagnetic waves in matter, EM waves at boundaries. 17 WAVE PHENOMENA Introduction, Coherence, Division of amplitude interference, Division of wavefront interference, Diffraction, Summary 18 GEOMETRICAL OPTICS Introduction, Reflection and refraction at boundaries, Reflection at a single surface, Refraction at a single boundary, Thin lenses, Double-lens systems, Dispersion, Aberrations. 19 OPTICAL INSTRUMENTS Introduction, Camera, Human eye, Compound microscope. 20 EINSTEIN'S UNIVERSE Introduction, Inertial frames, Special theory of relativity, Behavior of clocks and rules in motion, Electromagnetism, Relativistic energy and momentum, General relativity,. 21 ORIGIN OF QUANTUM MECHANICS Introduction, X rays, Radioactivity, Discovery of the electron, The atomic nucleus, Origin of the quantum constant, The photon hypothesis, Quantization of atomic energies, Bohr model of the atom, Summary of old quantum theory 22 QUANTUM WAVE THEORY Introduction, Wave-particle duality, Electron diffraction, Wave mechanics, Copenhagen interpretation, Uncertainty principle, Zero-point energy. 23 WAVE EQUATION Introduction, Wave-particle duality, Quantized modes, Schrodinger equation, One-dimensional solutions, Three-dimensional solutions, Dirac equation 24 QUANTUM THEORY OF ATOM Introduction, Hydrogen atom, Exclusion Principle, Symmetry in nature, Multi-electron atoms. 25 THE NUCLEUS Introduction, nuclear structure, Quantum tunneling, Nuclear fission, Nuclear fusion, Detection of radiation. Radiation dosage. Applications to the life sciences. 26 UNITY OF PHYSICS Introduction, Fundamental particles, The four forces in nature, Cosmology and the Big Bang, Unity of physics.