## The electromagnetic field |

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advanced potentials assume axis boundary conditions centre charge and current charge distribution charge q charged bodies charged particle circuit conductors coulombs current density current flowing cylinder defined derived direction discussed distance divergence theorem electric and magnetic electric dipole electric field electric intensity electric potential electromagnetic field electromagnetic theory electromotive force electron electrostatic element dS equation of motion field due field equations field intensities Fourier function given gives Hence inhomogeneous wave equation Lagrangian left-hand side let us consider linear lines of force loop Lorentz force macroscopic magnetic field magnetic intensity magnetic vector potential magnitude outward normal parallel physicist plane wave point charge polar co-ordinates postulates potential difference potential f Poynting vector quantity radiation radius region of space result right-hand side satisfy scalar self-field side of equation Solution Let sphere Suppose surface integral symmetry tends to zero theorem total charge unit vacuo velocity wire write z-axis