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Concepts of a Field Theory
The Summation Problem for Charges
Boundary Value Problems with Conductors
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amplitude analogous applied field approximation arbitrary assume boundary condition boundary value problems calculate the field charge density charge distribution charge q consider constant Coulomb's law current distribution cylinder defined derived dielectric differential dipolar matter dipole discussed distance divergence electric field electromagnetic field electrostatics element energy equipotential equivalent example expression external field field point finite force formula four-vector frame frequency given Green function harmonic Helmholtz equation homogeneous problem infinite integral equation interior Laplace's equation lattice linear loop Lorentz magnetic field magnitude Maxwell's equations medium momentum motion multipole expansion particle physical plane wave point charge Poisson's equation polarization charge potential Poynting vector propagation quantities radiation radius rectangular result satisfies scalar scattering solved space sphere spherical spherical harmonics summation problem superposition surface charge tensor theorem theory total charge transformation two-dimensional unprimed vanish variables velocity volume wave guide z-axis z-direction zero