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] Dr. Zewde Applied Engineering Electromagnetics: EE 463

Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

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Page 1: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

]

Dr. Zewde

Applied Engineering Electromagnetics: EE 463

Page 3: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Dr. Zewde 3

Instructor Dr. Zewde

Office: Jabara Hall 252

E-mail: [email protected]

Office hours: T 11:30am - 12pm

TA Qilin Wang

Office: Jabara Hall 244

E-mail: [email protected]

Office hours: TBA (Tentative: 1 – 3pm)

Classroom Jabara Hall 226

Lecture days/time TTR 4:05 - 5:20pm.

Measurable Learning Outcomes

At the completion of this course, the students will

be able to:

− understand concepts of gradient, divergence and curl

− know fundamental laws of electrostatic/magnetostatic fields

− be able to solve the electrostatic/magnetostatic engineering problems

− recognize how the field concepts are related to the circuit theory

− understand the effects of conductors, dielectrics and magnetic materials

on electromagnetic fields

− understand fundamental laws (Maxwell's equations) of time-varying

electromagnetic fields.

− be able to solve simple electromagnetic engineering problems.

− understand electromagnetic wave propagation, polarization, and

reflection/transmission.

− understand simple waveguide systems, antennas and radiation.

− know applications of electromagnetics to communications, optics and

other areas.

Course Title Applied Engineering Electromagnetics

Term Fall 2019

Department of Electrical Engineering and Computer ScienceApplied Engineering Electromagnetics - EE 463, Fall 2019

Syllabus

Page 4: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

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Additional Reference (Optional)

1. F. T. Ulaby and U. Ravaioli, Fundamentals of Applied Electromagnetics, 2015, Seventh Edition.

2. W. H. Hayt, and J. A. Buck, Engineering Electromagnetics, 2019, Ninth Edition.

3. B. M. Notaros, Matlab-Based Electromagnetics, 2014, First Edition.

Points Letter

grade

Grade

Points

Interpretation

90 – 100 A 4.00 The A range denotes excellent performance.

88 – 89 A- 3.70

85 – 87 B+ 3.30

78 – 84 B 3.00 The B range denotes good performance.

76 – 77 B- 2.70

73 – 75 C+ 2.30

63 – 72 C 2.00 The C range denotes satisfactory performance.

60 – 62 C- 1.70

58 – 59 D+ 1.30

53 – 57 D 1.00 The D range denotes unsatisfactory

performance.

51 – 52 D- 0.70

0 – 50 F 0.00 F denotes failing performance.

Grading

Homework --------------------------- 25%,

Exam 1 -------------------------------- 25% , Sept. 24, 2019

Exam 2 -------------------------------- 20%, Oct. 29, 2019

Exam 3 -------------------------------- 30%, Dec. 3, 2019

Course Textbook

T. Adams and J. K. Lee, Electromagnetics, Cognella, 2016, Revised First Edition. (Available at WSU bookstore) - (Required)

Matthew N. O. Sadiku, Elements of Electromagnetics, Oxford University Press, 7th Edition. (Suggested)

Dr. Zewde

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Course Policies

• Attendance and on-time arrival in class are required.

• Attending all classes including lectures is very important and required. Do not get behind in the beginning

of the semester.

• Extra credit quizzes may be given in the class without prior notice, and there is no make-up if you miss any

quiz. Once you sit for any of the exams (Exam 1, Exam 2, and Exam 3), you will not be allowed to request

for a make-up. In addition, make-up exam will be given if and only if you provide a written and very

legitimate excuse.

• Assignment is a major learning tool for this course and it counts 25% of your grade. Thus, completing

and submitting all the assignments on time is extremely important.

• Please start doing HWs early, and don't wait to upload your work on the blackboard until the last minute.

• Every home work is expected to be submitted through the blackboard.

• Late submission is not allowed!

Announcements

I will use blackboard to post lecture notes, homework assignments, solutions, and other information pertaining

to the course materials. It is the students’ responsibility to check the blackboard on a daily basis.

Dr. Zewde

Page 6: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Dr. Zewde 6

Week Date Topics Readings Assignments Due date

1 08/20/2019 Course Introduction (Syllabus), Review of Vector Algebra 1.1-1.3

08/22/2019 Line integral, Surface integral and Gradient 1.4.1-1.4.2 HW 1 08/29/2019

2 08/27/2019 Divergence and Curl of vector function 1.4.3-1.4.4

08/29/2019 The Divergence theorem and Stoke’s theorem 1.4.5 HW 2 09/05/20193 09/03/2019 Electrostatics in Free Space , Gauss' Law 2.2- 2.5

09/05/2019 Application of Gauss’s Law 2.6 HW 3 09/12/20194 09/10/2019 Electric Potential 2.7

09/12/2019 Conductors in Electrostatic Field 2.9 HW 4 09/19/2019

5 09/16/2019 Dielectrics in Electrostatic Field 3.2-3.3

09/19/2019 Gauss' Law in matter 3.46 09/24/2019 EXAM 1

09/26/2019 Review of Exam 1

7 10/01/2019 Magnetostatics in Free Space, Ampere's Law 6.2-6.4

10/03/2019 The Biot-Savart Law, and its application 6.5 HW 5 10/10/20198 10/08/2019 Ampere's Law in the presence of matter 7.3-7.4

10/10/2019 Faraday's Law of Electromagnetic Induction 8.2-8.3 HW 6 10/22/20199 10/17/2019 Maxwell's Equations - Electromagnetic Waves 8.5

10/22/2019 Wave Equation in a Source-Free Region 9.2 HW 7 10/28/201910 10/24/2019 Phasor Representation of EM Fields 9.3

10/29/2019 EXAM 211 10/31/2019 Review of Exam 2 9

11/5/2019 Uniform Plane Waves in Lossless Media 9.4

12 11/7/2019 Uniform Plane Waves in Lossy Media 9.5 HW 8 11/14/2019

11/12/2019 Reflection and Transmission of Waves: Normal Incidence 10.2

13 11/14/2019 Total Internal Reflection and Brewster’s Angle 10.4-10.5 HW 9 11/21/2019

11/19/2019 Transmission-line parameters 11.7

14 11/26/2019 Transmission-line with load 11.7 HW 10 11/26/2019

11/28/2019 Course review

15 12/3/2019 EXAM 3

Time -Invariant

Time -varying

Page 8: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Introduction

• Electric circuit theory and electromagnetic theory are the two fundamental

theories upon which all branches of electrical engineering are built.

Electromagnetics (EM) is at the heart of numerous systems and applications.

• EM examples: microwaves, electric machines, satellite communications,

bioelectromagnetics, radar meteorology, remote sensing, etc.

The breakthrough in Medicine and Telecommunication applications of EM happens

to be the greatest achievement of all!

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VECTOR ANALYSIS

Dr. Zewde

Page 12: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

• Vector analysis is a mathematical tool with which

electromagnetics concepts are most conveniently

expressed and best comprehended.

❑ Vector Algebra

❑ Coordinate Transformation

❑ Vector Calculus

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Page 13: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

• A scalar quantity is characterized by its magnitude, whereas a vector has

both magnitude and direction.

• The length of the arrow represents the magnitude of the vector,

denoted by |A| or A, and the arrow head indicates its direction, ො𝑎.

a

A = a A

A

1

ˆ

ˆ

Vector A = aA has magnitude A = |A | and

points in the direction of unit vector a = A /A .

13Dr. Zewde

Vector Algebra

Page 14: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

• Vector components and unit vectors in Cartesian or Rectangular

coordinate systems are given as

Dot product

Cross product

cont’d

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Page 15: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Exercise:

Given 𝐴 = 𝑎𝑦 2 + 𝑎𝑧2,

𝐵 = 𝑎𝑦3

𝐶 = 𝑎𝑥 −4 + 𝑎𝑦 4 ,

find i) 𝐴. (𝐵 × 𝐶) ii) 𝐴 × (𝐵 × 𝐶)

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Page 16: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

❑ Several types of coordinate systems are used in the study of vector quantities, the

most common being the Cartesian (or rectangular), cylindrical, and spherical

systems.

❑ A particular coordinate system is usually chosen to best suit the geometry of the problem under

consideration.

Coordinate Systems + Transformation

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Page 17: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Equations of Transformation between Coordinate Systems

19Dr. Zewde

0≤ 𝜙 ≤ 2𝜋0≤ 𝜙 ≤ 2𝜋0≤ 𝜃 ≤ 𝜋

Page 18: Applied Engineering Electromagnetics: EE 463 Dr. Zewde · 2019-10-28 · on electromagnetic fields − understand fundamental laws (Maxwell's equations) of time-varying electromagnetic

Exercise:

Consider the following points given in rectangular coordinates.

Find the corresponding cylindrical and spherical coordinates.

(a) (1, 1, 1)

(b) (3, 4, 0)

(c) (1, 0, 1)

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For the vector 𝑭 = 𝑎𝑧𝑧2 given in rectangular coordinates, express in terms of

a) cylindrical coordinate unit vectors and variables.

b) spherical coordinate unit vectors and variables.

Exercise

Dr. Zewde

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1. Find H.𝑎𝑥 at point P(2, 600,1) if 𝑯 = 𝑎 2 cos𝜙 − 𝑎𝜙𝜌 sin𝜙 .

2. Let A = 𝑎 (2z - sin𝜙) + 𝑎𝜙 4 – 𝑎𝑧 3z and B = 𝑎 cos𝜙 ,

(a) Find the minimum angle between A and B at (1, 600, -1).

(b) Determine a unit vector normal to both A and B at (1, 00,0).

Exercise

Dr. Zewde