## Electromagnetics

(3-0-0-3)

**CMPE Degree:** This course is Elective for the CMPE degree.

**EE Degree:** This course is Required for the EE degree.

**Lab Hours:** 0 supervised lab hours and 0 unsupervised lab hours.

**Technical Interest Group(s) / Course Type(s):** BSEE core (2012-13 curriculum), Electromagnetics

**Course Coordinator:**

**Prerequisites:** See topical outline

**Corequisites:** None.

### Catalog Description

To present the laws and applications of electromagnetics.### Textbook(s)

Engineering Electromagnetics, Transient Signals on Transmission Lines: An Introduction to Non-Ideal Effects and Signal Integrity Issues in Electrical Systems### Course Outcomes

- determine parameters associated with waves on lossless and lossy transmission lines, including frequency, phase velocity, attenuation and phase consts
- solve transient problems involving initially uncharged or charged transmission lines with resistive and reactive loads
- design transmission line terminations to minimize reflections and maximize received power
- explain the fundamental processes by which crosstalk between transmission lines occurs
- determine frequency-domain parameters associated with a transmission line system, including input impedance, reflection coefficient, and SWR
- analyze transmission line problems in the frequency domain with complex load impedances, to determine input and load voltage/current, power delivered
- calculate the electric field, scalar potential, stored energy, and capacitance associated with simple distributions of charge
- calculate the magnetic field, stored energy, and inductance for simple distributions of current density
- calculate the resistance of simple structures of given conductivity
- apply boundary conditions to determine current and charge densities produced on conducting boundaries by applied fields
- identify Maxwell's equations and apply them in both their integral and differential forms to time-varying field problems
- identify an electromagnetic wave and determine parameters (frequency, phase constant and velocity, associated intrinsic impedance) and power density
- determine the attenuation constant, phase constant, and skin depth for waves in a lossy medium, where the conductivity may range from low to high
- distinguish between linear polarization, circular polarization, and elliptical polarization with right-hand/left-hand orientation
- calculate reflection and transmission coefficients and fields for uniform plane waves normally-incident and obliquely-incident on planar interfaces

### Student Outcomes

In the parentheses for each Student Outcome:"P" for primary indicates the outcome is a major focus of the entire course.

“M” for moderate indicates the outcome is the focus of at least one component of the course, but not majority of course material.

“LN” for “little to none” indicates that the course does not contribute significantly to this outcome.

1. ( P ) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics

2. ( LN ) An ability to apply 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. ( LN ) An ability to communicate effectively with a range of audiences

4. ( LN ) 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. ( LN ) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives

6. ( P ) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions

7. ( M ) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.

### Strategic Performance Indicators (SPIs)

Not Applicable

### Course Objectives

- develop an understanding of the fundamental concepts of electromagnetic fields, with an emphasis on wave propagation. [6]
- relate basic electromagnetic concepts to the performance of devices, circuits, and systems. [6,8]

### Topical Outline

(ECE 2040 [min C] or ECE 3710) and (ECE 2025/2026 [min C] or NRE 2110) and MATH 2401/2411/24X1 [min C] and MATH 2403/2413/24X3 [min C]

Electrostatics

Scalar Potential, Energy Density, Force; Electrostatic Field of Charge Distributions; Permittivity (Dielectric Constant); Boundary Conditions; Concept of Capacitance; Electric Current; Equation of Continuity; Electrical Conductivity and Resistance

Magnetostatics

Vector Potential, Energy Density, Force; Magnetostatic Field of Current Distributions; Permeability; Boundary Conditions; Concept of Inductance

Time-Varying Fields

Maxwell's Equations; Transformers; Motors and Generators; Energy, Power and Poynting's Theorem; Time-Harmonic Fields

Transmission Lines

Lumped Circuit Model; Transmission Line Equations; Pulse Excitation; Time-Harmonic Excitation; Matching

Plane Waves and Geometric Optics

Concept of a Plane Wave, Polarization; Lossy Media, Skin Depth

Radiation

Hertzian Dipole; Antenna Parameters (Directivity, Beamwidth, etc.); Friis Transmission Formula