ECE314 Electromagnetic Fields I

Vector analysis. Curvilinear coordinate systems. Theory of vector fields. Electric and magnetic field. Maxwell equations in integral and differential form. Electrostatics and magnetostatics. Scalar and vector potential. Basic principles of electric conduction. Conductors in electrostatics and electrodynamics. Energy of electric and magnetic field. Basic principles of capacitance and inductance. Semistatic approximation in low frequencies. Basic principles of wave theory. Electromagnetic waves. Circuits with lumped and distributed parameters. Transmission lines.

The course constitutes the basic introductory course in the theory of Electromagnetic Fields, both static and semi-static, as well as rapidly time-varying fields that lead to the creation and propagation of electromagnetic waves.With the successful completion of the course, the student will be in a position to:

• Understand the concept of vector field and be able to calculate differential quantities (divergence, curl) and integral quantities (flux, circulation) of a given field in the basic coordinate systems.
• Know the basic laws of electromagnetism (differential and integral Maxwell equations, conservation of charge) and be able to calculate the electric and magnetic field, as well as the associated potentials and energies, for a given physical problem.
• Know the electrical properties of conductors and dielectric materials, and be able to calculate the capacitance of a system of two conductors with intermediate dielectric, as well as the self-inductance of a closed current loop or the mutual inductance between two current loops.
• Understand the physical origin of electromagnetic waves as a consequence of the coupling of the time-varying electric and magnetic fields via Maxwell equations, and be able to analyze their propagation in transmission lines with dimensions comparable to the wavelength.