14:332:382 Electromagnetic Fields

Course Catalog Description: 

14:332:382 Electromagnetic Fields (3)
Field theory of static, stationary and moving charges are presented.
The basic laws of Coulomb, Gauss, Faraday and Ampere are discussed in the context of engineering applications. Maxwell's equations are introduced to describe to the time-varying fields. A knowledge of vector analysis is assumed.

Pre-Requisite Courses: 

01:640:252 or 244

Pre-Requisite Courses: 

01:750:227

Pre-Requisite Courses: 

14:332:222

Pre-Requisite by Topic: 

1. Electricity and Magnetism
2. Vector Analysis
3. Differential and Integral Calculus

Textbook & Materials: 

W.H. Hayt, Jr and J. A. Buck, Engineering Electromagnetics, 7th edition, McGraw-Hill, 2006

References: 

J. A. Edminister, Electromagnetics, 2nd edition, McGraw-Hill, 1993

Overall Educational Objective: 

To develop a skill set in analyzing and solving problems dealing with the interactions between electric charges at rest and in motion

Course Learning Outcomes: 

A student who successfully fulfills the course requirements will have demonstrated:

1. An ability to state and apply the principles of Coulombs Law and the Superposition Principle to electric fields in the Cartesian, cylindrical and spherical coordinate systems.
2. An ability to determine the electric field intensity resulting from various configurations of charge distributions..
3. An ability to apply Gauss’ Law to highly symmetric charge distributions.
4. An ability to determine the electric potential and its relation to electric field intensity
5. An in depth understanding of Ohms Law, conductivity, and current in conductors, as well as an understanding of electric fields in dielectric and semiconducting materials.
6. An in depth study of capacitance and capacitors, and calculations of various geometries.
7. An in depth study of electrostatic boundary-value problems by application of Poisson’s and Laplace’s equations.
8. An ability to analyze and classify magnetic materials, and solve magnetostatic field problems using Biot-Savart law and Ampere’s circuit law with the associated boundary conditions.
9. An in depth understanding of time-varying electromagnetic field as governed by Maxwell’s equations.
10. An in depth understanding of plane wave reflection and transmission at the boundaries.
11. An ability to analyze basic transmission line problems.
12. An understanding of the application of electromagnetics in real world problems such as CMOS transistors, hard drives, wireless communications.

How Course Outcomes are Assessed: 

  • HW Problems (15 %)
  • Two Mid-Term Exams (50 %)
  • Final Exam (35 %)

  • N = none S = Supportive H = highly related

    Outcome

    Level

    Proficiency assessed by

    (a) an ability to apply knowledge of Mathematics, science, and engineering

    H

    HW Problems, Exams

    (b) an ability to design and conduct experiments and interpret data

    N

    (c) an ability to design a system, component or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability

    N

    (d) an ability to function as part of a multi-disciplinary team

    N

    (e) an ability to identify, formulate, and solve ECE problems

    H

    HW Problems, Exams

    (f) an understanding of professional and ethical responsibility

    N

    (g) an ability to communicate in written and oral form

    N

    (h) the broad education necessary to understand the impact of electrical and computer engineering solutions in a global, economic, environmental, and societal context

    S

    Lectures

    (i) a recognition of the need for, and an ability to engage in life-long learning

    N

    (j) a knowledge of contemporary issues

    S

    Lectures

    (k) an ability to use the techniques, skills, and modern engineering tools necessary for electrical and computer engineering practice

    H

    HW (including problem simulation using MATLAB)

    Basic disciplines in Electrical Engineering

    H

    HW, Exams

    Depth in Electrical Engineering

    S

    HW, Exams

    Basic disciplines in Computer Engineering

    N

    Depth in Computer Engineering

    N

    Laboratory equipment and software tools

    S

    MATLAB

    Variety of instruction formats

    S

    Lectures, Problem sessions, Office hour discussions

Topics Covered week by week: 

Week 1: Introduction and Review of vectors and coordinate systems
Week 2: Coulomb’s Law and Electric Field Intensity
Week 3: Gauss’ Law and Maxwell’s First Equation
Week 4: Energy and Potential: potential gradient, dipole, and energy density
Week 5: Current and Conductor; Dielectric and Capacitance (High-k CMOS transistor);
Week 6: Poisson’s and Laplace’s Equations
Week 7: Ampere’s Circuital Law, Curl and Stoke’s Theorem
Week 8: Magnetic Field
Week 9: Magnetic Materials and Forces (Hard Drives)
Week 10: Faraday’s Law; Time-varying Field; Maxwell’s Equations
Week 11: Wave Motion in Free Space and Polarization (Wireless communications)
Week 12: Plane Wave in Dielectrics; Reflection at Planar Boundaries; Skin Effect; Review 2
Week 13: Transmission Line Equations
Week 14: Transmission Line Parameters; Examples
Week 15:Impedance Match and VWSR; Review for final exam
Week 16:Final Examination

Computer Usage: 

Simulations using MATLAB

Design Experiences: 

HW problems in designing capacitors and resistors using various dielectric/conducting media and configurations.

Independent Learning Experiences : 

1. Home-Work, 2. Exams

Contribution to the Professional Component: 

(a) College-level Mathematics and Basic Sciences: 0.25 credit hours
(b) Engineering Topics (Science and/or Design): 2.75 credit hours
(c) General Education: 0.0 credit hours
Total credits: 3

Prepared by: 
W. Jiang and S. R. McAfee
Date: 
March, 2011