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Develop an understanding of Maxwell's equations and have the capacity to apply them to solving practical electromagnetic problems. Fundamental concepts covered will include: Plane waves, Complex numbers and phasors, Transmission lines, Electrostatic fields, Poisson and Laplace equations, Steady Electric Current, Magnetostatic fields, Time-varying electric and magnetic fields.
Learning Objectives
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Solve for the major parameters and electromagnetic quantities involved in transmission line theory.
- Apply vector calculus, differential and integral operators to electromagnetics.
- Solve for electrostatic and scalar potential fields in vacuum and matter as well as compute capacitance.
- Solve for magnetostatic and vector potential fields in vacuum and matter as well as compute inductance.
- Analyze the coupling interaction among time-varying electric and magnetic fields and the resulting Maxwell equations.
Topics
- Introduction: Electromagnetic spectra; Units and notation, discrete and field quantities; Traveling waves, Review of complex numbers, Review of Phasor transform.
- Transmission Lines: General considerations; Lumped-Element Model; Transmission Line Equations; Wave propagation on a Transmission Line; Lossless Transmission Line; Wave Impedance; Special Cases; Power Flow
- Vector calculus: Coordinate systems; Gradient of a scalar field; Divergence of a vector field, Divergence theorem; Curl of a vector field, Stokes's theorem; Laplacian operator; Graphing rational functions; Integration techniques
- Electrostatics: Maxwell's equations for static electric fields; Charge and current density. Continuity equation; Coulomb's law. Electric field. Electric flux density; Gauss's law; Electric potential; Conductors and resistance; Properties of dielectrics; Capacitors and capacitance; Electrostatic potential energy
- Magnetostatics: Magnetic flux density and magnetic field intensity; Magnetic forces; Magnetic Torque; Biot-Savart law; Ampere's law; Magnetic Vector Potential; Maxwell's equations for Magnetostatic fields; Gauss's law and Ampere's law; Inductance; Magnetic energy
- Time-varying fields: Dynamic fields; Faraday's law and the Electromotiveforce; Lenz's law; Ideal Transformer
Textbooks
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Ulaby, F., Fundamentals of Applied Electromagnetics, Pearson, Seventh Edition, 2015 Global Edition
- Sadiku, M., Elements of Electromagnetics, Oxford, Seventh Edition, 2018
- Griffiths, D., Introduction to Electrodynamics, Cambridge University Press, Fourth Edition, 2013
Key Student Outcomes
| (1) |
An ability
to identify, formulate, and solve complex engineering problems by
applying principles of engineering, science, and mathematics |
✓ |
| (2) |
An
ability to apply the engineering design to produce solutions that meet
specified needs with consideration of public health, safety, and
welfare, as well as global, cultural, social, environmental, and
economic factors |
|
| (3) |
An ability to communicate effectively with a range of audiences |
|
| (4) |
An
ability to recognize ethical and professional responsibilities in
engineering situations and make informed judgments, which must consider
the impact of engineering solutions in global, economic, environmental,
and societal contexts |
|
| (5) |
An
ability to function effectively on a team whose members together
provide leadership, creates a collaborative and inclusive environment,
establish goals, plan tasks, and meet objectives |
|
| (6) |
An
ability to develop and conduct appropriate experimentation, analyze and
interpret data, and use engineering judgment to draw conclusions |
|
| (7) |
An ability to acquire and apply new knowledge as needed, using appropriate learning strategies
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