EE 307 Chapter 1-3 - Math Review

EE 307 Chapter 1-3 - Math Review - ECE 307: Electricity and...

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Unformatted text preview: ECE 307: Electricity and Magnetism Spring 2010 Instructor: J.D. Williams, Assistant Professor Electrical and Computer Engineering University of Alabama in Huntsville 406 Optics Building, Huntsville, Al 35899 Phone: (256) 824-2898, email: [email protected] Course material posted on UAH Angel course management website Textbook: M.N.O. Sadiku, Elements of Electromagnetics 4 th ed . Oxford University Press, 2007. Optional Reading: H.M. Shey, Div Grad Curl and all that: an informal text on vector calculus, 4 th ed . Norton Press, 2005. All figures taken from primary textbook unless otherwise cited. Course Material Chapters 1-3. (Review Material) Vectors Algebra, Coordinate Transformations, Vector Calculus Chapter 4. Coulomb’s Law, Electric Field Intensity, Charge Distribution, Electric Flux Density, Gauss’ Law, Electric Potential, E and V, Energy Chapters 5-6. Properties of Materials, Currents, Continuity Equation, Poisson’s Equation, Laplace’s Equation, Resistance, Capacitance, Image Theory Chapters 7-8. Biot-Savart Law, Ampere’s Law, Magnetic Flux Density, Maxwell’s Equations (Static), Magnetic Vector Potentials, Magnetic Forces, Magnetic Materials, Boundary Conditions Chapter 9. (Partial) Faraday’s Law, Maxwell’s Equations (Time Varying), Optional: Time-Harmonic Fields, Plane Waves Poynting Vectors • Grading: This course is graded on a curve based on the following % breakdowns • Homework (20%): Turned in weekly. Graded on attempted effort. • Exams (50%): 2 per Semester. Exam scores historically increase over the semester – Exam 1: Chapters 4 and 5 – Exam 2: Chapters 6 and 7 – Exam 3: Chapters 8 and 9 • Final Comprehensive Exam (30%): Includes material from Chapters 4-10 8/11/2010 3 • It was James Clark Maxwell that put all of this together and reduced electromagnetic field theory to 4 simple equations. It was only through this clarification that the discovery of electromagnetic waves were discovered and the theory of light was developed. • The equations Maxwell is credited with to completely describe any electromagnetic field (either statically or dynamically) are written as: Maxwell’s Time Dependent Equations Differential Form Integral Form Remarks Gauss’s Law Nonexistence of the Magnetic Monopole Faraday’s Law Ampere’s Circuit Law t D J H t B E B D v ∂ ∂ + = × ∇ ∂ ∂ − = × ∇ = ⋅ ∇ = ⋅ ∇ ρ = ⋅ ∫ S d B S S d t D J l d H S L ⋅ ∂ ∂ + = ⋅ ∫ ∫ ∫ ∫ ⋅ ∂ ∂ − = ⋅ S L S d B t l d E ∫ ∫ = ⋅ dv S d D v S ρ ECE 307: Electricity and Magnetism Chapters 1-3: Review of Mathematical Essentials • Chapter 1: Vector Analysis – Scalars and Vectors – Unit Vector – Vector Addition and Subtraction – Position and Distance Vectors – Vector Multiplication – Components of a Vector • Chapter 2: Coordinate Systems and Transformations – Cartesian Coordinates...
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This note was uploaded on 12/14/2011 for the course EE 307 taught by Professor Williams during the Spring '10 term at University of Alabama - Huntsville.

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EE 307 Chapter 1-3 - Math Review - ECE 307: Electricity and...

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