110 Willamette Hall |
Course: Physics 412: Introduction to Electrodynamics |
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Chapter 2: Electrostatics, the Coulomb Force Law,
the Electric field, Principle of Superposition (and linear fields),
Visualization of electric fields, Earnshaw's Theorem and linear stability
analyses, continuous charge distributions.
Problem Set 1,
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Chapter 2: Electrostatics,
Electric fields and forces of continuous charge distributions,
Divergence and Curl of the Electric field, Gauss's Law, Gauss's Law and
point charges, the electric scalar potential.
Problem Set 2,
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Chapter 2: Electrostatics,
The scalar potential, V, and the curl of E and Stokes's Theorem,
conservative forces, single particle energy equation and the potential
energy of a particle in an EM field (interaction energy),
calculation of the scalar potential,
boundary conditions at discontinuities, electrostatic
energy of a charge distribution, conductors.
Problem Set 3, | ||
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Chapter 3: Special Techniques,
Laplace's Equation, Poisson's Equation, Uniqueness Theorems, Solutions to
Laplace's Equation in one-dimension in Cartesian, Polar, Spherical Polar,
and Cylindrical coordinate systems. Special techniques for the Poisson
Equation, the Method of Images.
Problem Set 4, | ||
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Chapter 3: Special Techniques, Separation of Variables and the Laplace
Equation in Cartesian, Cylindrical, and Spherical Polar coordinates, Fourier
Series and Dirichlet's Theorem, completeness and orthogonality,
Legendre polynomials, Rodrigues function, generating function.
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Chapter 3: Special Techniques, Separation of Variables and the Laplace
Equation in Spherical Polar coordinates, Fourier
Series and Dirichlet's Theorem, completeness and orthogonality,
Legendre polynomials, Rodrigues function, generating function; and
Multipole expansions, monopole, dipole, quadrupole, octupole, ..., and
moments.
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Chapter 3: Special Techniques, Multipole expansions;
Chapter 4, Electric Fields in Matter (dielectrics), polarizability,
orientational polarization, Polarization, polarization charges, fields
of polarized objects.
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Chapter 4, Electric Fields in Matter (dielectrics), polarizability,
orientational polarization, Langevin Equation, Susceptibility,
Polarization, polarization charges, fields
of polarized objects, Displacement field D,
linear isotropic, homogeneous dielectrics.
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