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P201: Electricity & Magnetism, Optics P201: Electricity & Magnetism, Optics (a tentative outline likely to be followed in SEM-II) 2 lectures + 1 tutorial per week 1. (a) Introduction to electrostatics and magnetostatics. (b) Introduction to vectors – unit vector, direction cosine, dot & cross products (summation convention, Levi-Civita symbol), triple product. (c) Scalar and vector fields, ∇ operator (in different coordinate systems) – gradient, divergence and curl, curvilinear coordinates. (d) Vector identities, statements of Divergence and Stoke’s theorem. (e) Quiz, homework on vector analysis. 2. (a) Coulomb’s law, electrostatic potential and ∇×E, electrostatic energy. (b) Gauss’s law in differential and integral form, problems on Gauss’s law (c) Boundary conditions. (d) Quiz, homework on electrostatics in vacuum. (e) Class-test on vector analysis and electrostatics in vacuum. 3. (a) Electrostatics in medium – polarizations, field due to electric dipole, dipole- dipole interaction. (If time permits, multipole expansion towards end of mid-sem). (b) Displacement current, Gauss’s law in medium. (c) Linear dielectrics, Electrostatic energy in medium, Boundary conditions. (d) Homework on electrostatics in medium. (e) Class-test on electrostatics. 4. (a) Motion of charge in electric and magnetic field, Lorentz force, current and continuity equation, Ohm’s law and Kirchhoff’s law. (b) Biot-Savart’s law, ∇⋅B and ∇×B, vector potential. (c) Ampere’s law in differential and integral form, problems on Ampere’s law. (d) Magnetostatics energy, Boundary conditions. (e) Quiz, homework on magnetostatics in vacuum. 5. (a) Magnetostatics in medium – magnetic induction, hysteresis. Boundary conditions. (b) Changing magnetic field – Faraday’s law, ∇×E and potentials. (c) Homework on magnetostatics in medium. (d) Class-test on magnetostatics. 6. (a) Maxwell’s equations in vacuum and medium, wave equation (gauge condition). (b) Plane wave, transverse nature and energy-momentum of plane EM wave, Poynting vector. (c) Polarization (if possible). (d) Quiz, homework on Maxwell’s equations. 7. (a) Physical optics – interference (double-slit and Newton’s ring). (b) Diffraction – single slit, double slits, grating. (c) Homework on physical optics. (d) Class-test on Maxwell’s equation and physical optics 8. (a) X-ray crystallography. References Vector Analysis 1. D.J. Griffiths, Introduction to Electrodynamics. 2. M.R. Spiegel, Vector Analysis. Electrostatics & Magnetostatics 1. D.J. Griffiths, Introduction to Electrodynamics. 2. E.M. Purcell, Electricity and magnetism (Berkeley physics course, V2). 3. J.R. Reitz, F. Milford, R. Christy, Foundation of Electromagnetic theory. Physical Optics 1. E. Hecht, Optics. 2. F.A. Jenkins, H.E. White, Fundamentals of optics 3. S.G. Lipson, H. Lipson, D.S. Tannhauser, Optical Physics. Relative contribution to final grades Quizzes – 10% (in-class, duration of half class) Homework – 20% (take home, 7 or 10 days) Class test – 20% (in-class, duration of full class) Mid Semester – 20% End Semester – 30% Assignments Please remember, most of what you learn will come from taking the quizzes, class tests and doing the homeworks. One of the best ways to learn and enjoy physics is by discussing with your friends and you may discuss assignments with the others in the class. However, when you write the assignments it must be your own work. If found copied, both the original and copied works will be given zero. Start working early on each assignments and try returning them well before due date. It is unwise to start working on the assignments the night before they are due. Homework returned within two (2) days after the due date will always be reduced by 50% of its value. Homeworks will never be accepted after two days of the due date. Office hours For out-of-class meetings, any mutually convenient time is just fine. P201 course in web The lectures, quiz-homework-class test problems (and their solutions) will be posted at http://www.iopb.res.in/~sbasak/.
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