## Syllabus

### Textbook:

Elements of Engineering Electromagnetics, Sixth Edition, by Nannapaneni Narayana Rao (Prentice Hall, 2004); ISBN 0-13-113961-4

### Target Audiences:

• This is a required course for all degree-seeking undergraduate students in Electrical Engineering.
• An understanding of the material in this course is necessary for all students who intend to take EE 4302, Electromagnetic Engineering II, EE 4368, RF Circuit Design Principles, or EE 6316, Fields and Waves.
• Others who can benefit from this course include employees of local high-technology companies who need an introduction to RF engineering, electromagnetic engineering and/or basic concepts of electromagnetic compatibility.

### Syllabus (Concepts/tools to be acquired in this course):

#### ABET objectives of EE 4301:

• Ability to use integral and differential forms of Maxwell's equations (ME) to determine fields, charges and currents in simple realistic systems (Examples: Material boundaries, circuit elements, electromagnets, charge and current distributions) (ABET objective (a))
• Ability to explain the physical significance of the wave equation and solutions of the wave equation (ABET objective (a))
• Ability to explain and manipulate plane electromagnetic waves in dielectric and conducting media (ABET objectives (a), (e), (k))
• Ability to determine fundamental characteristics of simple transmission lines in the time domain (ABET objectives (a), (e))
• Ability to determine electromagnetic fields and power relations for simple antennas and arrays (ABET objective (a))

#### Specific concepts and tools:

1. Static and low-frequency electric fields
• Static E fields in Cartesian and cylindrical coordinates
• Gauss's Law
• Electrostatic energy
2. Static and low-frequency magnetic fields
• Static H fields in Cartesian and cylindrical coordinates
• Stokes's Theorem
• Ampere's Law
• Kirchhoff's Laws
3. Maxwell's Equations in differential form
• Cartesian and cylindrical coordinates
• Circuit electromagnetics
• Maxwell's equations as a linear, shift-invariant system
4. Plane waves
• Single-frequency solution of linear, shift-invariant system
• Standing waves
• The scalar wave equation
• Traveling waves
• Visualization of traveling vector waves
• Wave properties:
• Frequency
• Wavelength
• Velocity
• Wave vector
5. Wave solutions of Maxwell's Equations in space
• Circular and elliptical polarization
• The Poynting vector
• Circuits and waves
6. Transmission lines
• Waves on transmission lines
• Characteristic impedance
• Equivalent circuit of a transmission line
• Reflection of waves at a discontinuity
• Simulation of radiation by a moving charge
• Feynman's formula for the electric and magnetic fields of a moving charge
• Radiation, induction and quasistatic zones
• Radiation pattern function of an accelerated charge
• The Poynting vector in the radiation zone
• Total power radiated by an accelerated charge
• The Hertzian dipole
• Fields of an oscillating dipole
• Oscillating-current form of the Hertzian dipole
• The Poynting vector of a Hertzian dipole
• Definition of solid angle
• Radiation intensity of a Hertzian dipole
• Directive gain of a Hertzian dipole
• Radiation resistance of a Hertzian dipole
• Various types of antennas
• Antennas in receiving mode: Principle of reciprocity
• Effective area of an antenna
• Matched load with complex impedance
• Friis transmission formula
• Use of Friis transmission formula to design a communication system
• Dipole antennas of length comparable to, or greater than, the wavelength
• Poynting vector for a general dipole antenna
• Radiation intensity of a half-wave dipole antenna
• Folded half-wave dipole antenna
• Antenna arrays