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angle angular assume atom axis Calculate capacitor charge distribution charge q charged particle charges and currents coefficients components conductor const coordinates cos2 Coulomb Coulomb gauge Coulomb's law curl Daniel define derive dielectric constant dipole direction distance divergence dyne electric field electromagnetic electron electrostatic emitted energy expression Figure flux force acting formula four-vector four-velocity frequency function Gauss's Gaussian given Green's function Hamiltonian index of refraction inertial frame inside integral Let us consider loop Lorentz transformation magnetic field mass Maxwell equations medium molecule momentum motion moves multipoles observer obtain oscillations perpendicular photons plane wave po(x point charge Poisson's equation polarization potential Poynting vector radiation damping relation respect rest scalar sin2 solution space spherical statcoulomb statvolt surface system of units tensor theorem unit vector unit volume vector field velocity write zero