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Electrodynamics

Electrodynamics

PHYS3302 3 hours

Electrodynamics

This course deals primarily with a vector analysis-based description of static electric field, electric flux, and electric potential for a distribution of charges, and application of Gauss’s law. Also, the course covers the methods of solving electrostatic problems such as Laplace equation, and electrostatic images. The course will cover the problems of calculating the electric fields and electric potential inside and outside the dielectric materials as well as the molecular field, and electrostatic energy. The course deals with a vector analysis-based description of magnetic field, magnetic flux, and magnetic potential, and application of Gauss’s law as well as the magnetic induction for a steady current circuit.
Review on Vector Analysis
• Vector formulas. • Vector operations. • The line integral. • The surface integral. • The divergence theorem. • Stokes’ theorem. • Cartesian, spherical, and cylindrical Coordinates 6
Electrostatics
• Electric charge. • Coulomb’s law. • The electric field. • Electrostatic potential. • Conductors & insulators. • Gauss’s law. • The electric dipole 9
Solution of electrostatic problems
• Poisson’s equation. • Laplace’s equation. • Laplaces’s equation in one independent variable. • Laplace’s equation in spherical coordinates (harmonic zone). • Conducting sphere in uniform. • Electrostatic images. 6
The Electrostatic Field in Dielectric Media
• Polarization. • Field outside of a dielectric medium. • The electric field inside a dielectric. • The electric displacement. • Electric susceptibility and dielectric Constant. • Point charge in a dielectric field. • Boundary conditions on the field vector. • Boundary value problem involving dielectrics. 9
Microscopic Theory of Dielectrics
• Molecular field in a dielectric. • Induced dipoles. • Polar molecules. The Langevin-Debye formula. • Permanent polarization. Ferroelectricity 6
Electrostatic Energy
• Potential energy of a group of point charges. • Energy density of an electrostatic field. • Energy of a system of charged conductors. • Capacitors 6
Electric Current
• Current density & equation of continuity • Ohm’s law • Steady currents in continuous media • Microscopic theory of conduction