Course Description:

(3-0) Cr. 3. Vector analysis. Static electric field and scalar potential. Dielectric materials. Electric force and energy. Potential problems. Steady currents, magnetic field and vector potential. Magnetic materials and circuits. Magnetic force and torque.

Prerequisite:  (MTH 235 or concurrently or LBS 119 or concurrently or MTH 255H or concurrently) and (PHY 184 or PHY 184B or PHY 234B)

Class Schedule: MWF: 11:30-12:20

Course Instructor:    Prof. Shanker Balasubramaniam

Course Objectives

This is an introductory junior-level course in engineering electromagnetics. It is devoted to the study of fields in the stationary state, i.e., static electric fields, steady currents and steady magnetic fields. The course is intended to introduce the students to three-dimensional spatial field concepts, and consequently begins with an exposition of vector calculus. All of the quantities and concepts which occur routinely in circuits courses, e.g., voltage, current, power, resistance, capacitance and inductance are defined rigorously. At least one significant computer numerical project, the results of which must be presented in a formal report, is required.

At the completion of this course the students should be able to:

  1. Understand the importance of electromagnetics to an electrical engineering education.

  2. Appreciate the electromagnetic model which includes electromagnetic fields and sources, a mathematical structure and field equations which relate fields to their sources.

  3. Apply vector calculus concepts, including:
    Vector algebra: Orthogonal coordinate systems; arithmetic operations; scalar and vector products. Calculus of scalar and vector fields: line, surface and volume integrals; vector differential operations (gradient, divergence, curl); vector integral identities; Helmholtz theorem.

  4. Understand static electric field concepts and calculations, including:
    Axiomatic statement of free-space electrostatics; Coulomb's law; electric field maintained by a source system; Gauss's flux theorem; Electrostatic potential; Conducting and dielectric media; behavior of conductors, electric polarization and flux density; Boundary conditions; Electrostatic capacitance; Electrostatic energy and forces.

  5. Solve electrostatic potential problems, including:
    Poisson's and Laplace's equations for electric potential; Uniqueness theorem for Poisson's equation; Method of images; Separation of variables solutions to boundary-value problems in rectangular and plane-polar coordinates.

  6. Understand steady electric currents and related concepts, including:
    Current density and Ohm's law; EMF and Kirchhoff's voltage law; Charge conservation and Kirchhoff's current law; Power transfer and Joule's law; Current boundary conditions; Resistance.

  7. Understand steady magnetic field concepts and calculations, including:
    Axiomatic statement of free-space magnetostatics; Magnetic vector potential; The Biot-Savart law; The magnetic dipole field; Magnetization and equivalent magnetization currents; Magnetic field intensity and permeability; Magnetic circuits; Magnetic field boundary conditions; Magnetic forces and torques.

    8.

Topics covered Vector calculus, static electric fields, electric potential problems, steady currents and steady magnetic fields as detailed in the course objectives above. Contribution of course to meeting the professional component

  1. college-level mathematics and basic sciences—0 credits
    with experimental experience -- no
  2. engineering topics—3 credits
  3. general education—0 credits
    4.

Relationship of course to program objectives The following measurement standard is used to evaluate the relationship between the course objectives and selected educational-program objectives:

1 = Strong Emphasis, 2 = Emphasis, 3 = Minor Emphasis, 4= No Emphasis

Indicate the actual relationship and the desired goal as: actual/goal

  1. an ability to apply knowledge of mathematics, science, and engineering— 1/1
  2. an ability to design and conduct experiments, as well as to analyze and interpret data— 4/4
  3. an ability to design a system, component, or process to meet desired needs— 4/4
  4. an ability to function on multi-disciplinary teams— 4/4
  5. an ability to identify, formulate, and solve engineering problems— 2/2
  6. an understanding of professional and ethical responsibility— 4/4
  7. an ability to communicate effectively— 4/4
  8. the broad education necessary to understand the impact of engineering solutions in a global/societal context— 4/4
  9. a recognition of the need for and the ability to engage in life-long learning— 4/4
  10. a knowledge of contemporary issues— 3/3
  11. an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice— 2/1
  12. a knowledge of probability and statistics, including applications appropriate to the program name— 4/4
  13. a knowledge of advanced mathematics, typically including differential equations, linear algebra and complex variables (EE only)— 1/1
  14. A knowledge of discrete mathematics— 4/4
  15. Engaged in a major engineering design experience— 4/4
  16. an ability to design complex devices and systems containing both hardware and software components— 4/4
    17.

Class/laboratory schedule 3(3-0) – Three fifty-minute lectures/week Person(s) who prepared this description Dennis P. Nyquist Date of Preparation April 8, 1998