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Electromagnetism II >> Content Detail



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Calendar

Lec #TopicsKey Dates
1Introduction to Fields

Vectors, Index Notation, Basic Vector Operations
2Review of Vector Calculus

Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates
Problem set 1 out
3Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function
4Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/rProblem set 2 out
5Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric FieldProblem set 1 due
6Electric Potential, Work and Energy in Electrostatics
7Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness TheoremsProblem set 2 due

Problem set 3 out
8Image Charges, Separation of Variables
9Separation of Variables (cont.), Legendre Polynomials
10Multipole Expansion, Dipole FieldsProblem set 3 due

Problem set 4 out
11Dipoles and Electric Polarization in Matter
12Dielectrics, Bound and Free Charges, Electric DisplacementProblem set 5 out
13Boundary Value Problems with DielectricsProblem set 4 due
14Lorentz Force Law, Biot-Savart Law, Ampere's Law
15Magnetic Vector Potential, Boundary Conditions on BProblem set 5 due

Problem set 6 out
16Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles
17Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents
18H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, FerromagnetismProblem set 6 due

Problem set 7 out
19Midterm Exam (Chapters 1-6)
20Ohm's Law, EMFs, Faraday's Law
21Inductance, Magnetic Energy DensityProblem set 7 due

Problem set 8 out
22Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter
23Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor
24Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum FluxProblem set 8 due
25Waves in One and Three Dimensions, Reflection and Transmission, Polarization
26Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM WavesProblem set 9 out
27EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics
28Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors
29How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect ConductorsProblem set 9 due
30Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials
31Waveguides, TE and TM ModesProblem set 10 out
32Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution
33Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials
34EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power PatternProblem set 10 due

Problem set 11 out
35Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula
36Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering
374-vectors, Lorentz Transformations, 4-current and 4-potential, Lorentz Force LawProblem set 11 due
38Lorentz Transformation of EM Fields, Maxwell Field Strength Tensor, Covariant Maxwell Equations
39Electromagnetism of Pulsars
Final Exam

 








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