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.