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Fundamentals of Electromagnetic Theory Notes

Fundamentals of Electromagnetic Theory

Welcome to the EEE241 Class

Instructor: Dragica Vasileska

Course (Catalog) Description: Vector analysis, differential operators, appliation of fourier analysis and prtial differential equations, scalar, vector fields, electro/magneto statics, time-varying fields, boundary value problems, dielectric, magnetic materials, Maxwell’s equations.

Course Type: Lecture.

Prerequisite: EEE 202; MAT 267, 274 (or 275), MAT 272; PHY 131, 132

Computer Usage: Students are assumed to be versed in the use MathCAD or MATLAB to perform scientific computing such as numerical calculations, plotting of functions and performing integrations. Students will develop and visualize solutions to moderately complicated field problems using these tools.

Textbook: Cheng, Field and Wave Electromagnetics.

Supplemental Materials: Basics of Electromagnetics, Prof. Branko Popovic

Prerequisites by Topic:

1. University physics

2. Complex numbers

3. Partial differentiation

4. Multiple Integrals

5. Vector Analysis

6. Fourier Series

Course Topics: Cheng Text:

1. Introduction, Coordinate Systems and Vector Fields (1/2 week)

Homework #1 due January 28th, Solutions to HW1

Chapters 1 and 2

2. Vector differential and integral operators (Divergence and Gradient operators) (1/2 Week)

Homework #2 due February 4th Solutions to HW2

Chapter 2

3. Coulomb Law, Electric field, Gauss Law (1 week)

Homework #3 due February 11th Solutions to HW3

3.1 - 3.4

4. First alternative to Gauss Law: The potential function and the Electric Field and the Boundary Conditions of electric fields (1 week)

Homework #4 due February 23 Solutions to HW4

3.5, 3.6

5. Second alternative to Gauss' Law: Integration over sources to calculate the D-field of symmetric and non symmetric charge distributions (1week)

3.7, 3.8, 3.9

6. Capacitance and Capacitors (1/2 week)

Example of MOS Capacitor (practical application)

3.10

7. Electrostatic Energy, Dielectrics and Capacitors with Dielectrics (1/2 week)

Homework #5 due March 2nd Solutions to HW5

3.11

Exam 1 Review

Exam #1 March 4th (Wednesday) Solutions to Exam #1

Chapters 1 – 3

8. Boundary value problems: Poisson and Laplace Equation (1/2 week)

4.1- 4.3

9. Method of Images (1 week)

4.4

10. Method of Separation of Variables for the Laplace Equation, Solving PDEs (1/2 week)

Homework #6 due March 25th, Solution provided in Lecture Notes

4.5, 4.6, 4.7 (HW)

11. Current, Ohm’s Law, Resistance (1/2 week)

Chapter 5

12. Ampere’s Law, Displacement Current, Complex Permittivity (1/2 week)

Slides provided

13. Magnetic Force and Fundamental Postulates of Magnetostatics

Homework #7 due April 1st , Solution to HW7

6.1, 6.2

14. Vector Magnetic Potential, The Biot-Savart Law and its Applications, Ampere’s Law (1 1/2 week)

Homework #8 due April 8th, Solutions to HW8

6.3, 6.4

15. Magnetic Dipole, Magnetization, Magnetic Field Intensity (1 week)

6.5, 6.9, 6.6, 6.7

16. Magnetic Circuits, Boundary Conditions (1/2 week)

Useful Reading on Electric and Magnetic Circuits

6.8, 6.10

Exam 2 Review

Exam #2 April 15th (Wednesday) Solutions to Exam #2

Chapters 4 - 6

17. Inductances and Inductors (1/2 week)

Homework #9 due April 27th, Solutions to HW9

6.11

18. Magnetic Energy (1/2 week)

6.12

19. Maxwells Equations: Faraday’s Law (1 week)

Homework #10 due May 4th, Solutions to HW10

7.1, 7.2

20. Maxwells Equations: Potential function, Wave Equation and its Solution (1/2 week)

7.3, 7.4, 7.6

Final Exam Review

Final Exam May 13th 9:50 – 11:40 am, Exam3 Solutions

Comprehensive

Course Objective:

Students can apply fundamental electromagnetic theory to solution of practical problems

Course Outcomes:

1. Students understand the fundamentals of Electrostatics

2. Students understand the fundamentals of Magnetostatics

3. Students understand the characteristics of materials and their interactions with electric and magnetic fields

4. Students recognize Maxwell’s equations

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