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à Cartesian (rectangular), cylindrical, and spherical coordinates à Vector algebra and vector fields à Coordinate transformations à Curl, divergence, and gradient à Stokes and Gauss’ theorems, Green’s theorem, Helmholtz theorem, important vector identities
à Basic concepts: point, surface, and volume charges à Coulomb's law, electric dipole à Electric field lines, displacement and flux, flux density à Gauss' law and its applications à Electric potential, curl of the electric field à Conductors in electrostatic field à Capacitance à Multiple conductors and mutual capacitance, Green's reciprocity theorem à Dielectrics in electrostatic field, polarization, permittivity, boundary conditions à Energy stored in electrostatic field, forces on dielectrics and conductors
à Fundamental equations: Laplace and Poisson equations à Uniqueness of solutions à Theory of images à (*) Solution of Laplace equation in simple cases
Mid term exam 94/08/21
à Steady electric current, current density, boundary conditions à Conservation of charge, continuity equation à Ohm's law, resistance à Joule's law
à Lorentz force law, moving charges and currents, magnetic fields à Biot-Savart law and its applications à Magnetic flux and lines of force à Ampere's circuital law and its applications à Vector and scalar magnetic potentials, magnetic dipole à Magnetic fields in material media: magnetization, boundary conditions à (*) Ferromagnetism, Paramagnetism, Diamagnetism à Self and Mutual Inductance à Energy stored in magnetic field, magnetic forces à Magnetic circuits
à Faraday's law, electromotive force, eddy currents à Generalized Ampere's law, displacement current à Maxwell's equations, wave equation à Time harmonic fields
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