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Syllabus.Physics.411 - field Faraday’s law for the...

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Syllabus for Physics 411: Electrodynamics I Text: Classical Electrodynamics, Third Edition, by J. D. Jackson, John Wiley & Sons, NY 1999 Electrostatics and Maxwell’s Equations : Coulomb’s law, Gauss’ law, point charges and the Dirac Delta function, surface charge densities, surface electric dipole layer, superposition principle, volume charge densities for continuous charge distributions using Dirac Delta functions, electrostatic potential, electric field, magnetostatics, induced electric fields, time dependent magnetic fields, conservation of charge, induced magnetic fields, time dependent electric fields, the Lorentz force, Maxwell’s equations in a vacuum, decomposition of sources and fields, material properties, displacement vector, space-time Fourier transforms, boundary conditions at interfaces between materials, Gauss’ law for electric displacement vector, Ampere-Maxwell law for the magnetic
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Unformatted text preview: field, Faraday’s law for the electric field. Solution to Maxwell’s equations and Boundary Value Problems: Laplace’s equation, Poisson’s equation, Green’s function solutions to Poisson’s equation, uniqueness of solutions, Dirichlet and Neumann boundary value problems, electrostatic energy density, conductors and capacitance, coefficients of capacitance, boundary value problems for systems with conductors, variational techniques applied to determination of capacitance, path integrals and contour integration, solution to Laplace’s equation in spherical and cylindrical coordinates, spherical harmonics, expansion of 1/| r – r’| in spherical harmonics, Green’s function for spherical shell boundary value problems, Laplace’s equation in cylindrical coordinates, Green’s function expansion for cylindrical geometries, multipole expansion of charge distributions....
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