ECE-305-Lecture2

ECE-305-Lecture2 - Engineering Electro-Magnetics Engineering

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Unformatted text preview: Engineering Electro-Magnetics Engineering Electro-Magnetics ECE-305, Lecture 2 Dennis McCaughey, Ph.D. 21 January, 2010 01/21/2010 Dennis McCaughey, ECE305, Spring 2010 2 Homework Homework Problems 1.5, 1.23, 1.29 Due Jan 26 01/21/2010 Dennis McCaughey, ECE305, Spring 2010 3 Rectangular Coordinates Rectangular Coordinates ( 29 ( 29 ( 29 2 2 2 Unit vectors: 1 0 , 1 , 0 1 Differential Length: Differential Volume: Differential areas: r x y z x y z x y z x r x y z y z v v a v a v a a a a v v a a a v v dL dx dy dz dV dxdydz dx = + + = = = = = + + = , , dy dxdz dydz 01/21/2010 Dennis McCaughey, ECE305, Spring 2010 4 Cylindrical Coordinates Cylindrical Coordinates ( 29 1 2 2 , , Rectangular to cylindrical tan , , Cylindrical to Rectangular cos , sin , Unit vectors at cos sin sin , cos , 0 1 r P x y z y x y z z x x y z z P a a a - = = = + = = = =- = = = Differential Volume: Differential areas: , d , dV d d dz d d dz d dz = 01/21/2010 Dennis McCaughey, ECE305, Spring 2010 5 Transformations Transformations Reisz Representation Theoerm: Every linear transformation on a finite dimension vector space has a matrix representation....
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This note was uploaded on 09/13/2011 for the course ECE 305 taught by Professor Staff during the Spring '08 term at George Mason.

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ECE-305-Lecture2 - Engineering Electro-Magnetics Engineering

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