lecture2 - 1 ECE 303 Fall 2007 Farhan Rana Cornell...

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Unformatted text preview: 1 ECE 303 Fall 2007 Farhan Rana Cornell University Lecture 2 Maxwells Equations in Free Space In this lecture you will learn: Co-ordinate Systems and Course Notations Maxwells Equations in Differential and Integral Forms Electrostatics and Magnetostatics Electroquasistatics and Magnetoquasistatics ECE 303 Fall 2007 Farhan Rana Cornell University Co-ordinate Systems and Vectors Cartesian Coordinate System z A y A x A A z y x + + = r k A j A i A A z y x + + = r z z y y x x i A i A i A A + + = r All mean exactly the same thing just a different notation for the unit vectors The first one will be used in this course y o x z y x z o z ( ) o o o z y x , , o y Vectors in Cartesian Coordinate System 2 ECE 303 Fall 2007 Farhan Rana Cornell University Co-ordinate Systems and Vectors Cylindrical Coordinate System z A A r A A z r + + = r z z r r i A i A i A A + + = r y x z o o r o z ( ) o o o z r , , Vectors in Cylindrical Coordinate System Both mean exactly the same thing just a different notation for the unit vectors The first one will be used in this course ECE 303 Fall 2007 Farhan Rana Cornell University Co-ordinate Systems and Vectors Spherical Coordinate System A A r A A r + + = r i A i A i A A r r + + = r y x z o o r ( ) o o o r , , Vectors in Spherical Coordinate System o Both mean exactly the same thing just a different notation for the unit vectors The first one will be used in this course 3 ECE 303 Fall 2007 Farhan Rana Cornell University Vector Fields In layman terms, a vector field implies a vector associated with every point is space: Examples: Electric Field: Magnetic Field: ( ) ( ) t r E t z y x E , or , , , r r r ( ) ( ) t r H t z y x H , or , , , r r r ECE 303 Fall 2007 Farhan Rana Cornell University Maxwells Equations in Free Space t E J H t H E H E o o o o + = = = = r r r r r r r . . a d E t a d J s d H a d H t s d E a d H dV a d E o o o o r r r r r r r r r r r r r r . . . ) 4 ( . . ) 3 ( . ) 2 ( . ) 1 ( + = = = = Gauss Law Gauss Law Faradays Law Amperes Law Integral Form Differential Form Lorentz Force Law ( ) H v E q F o r r r r + = Lorentz Law describes the effect of electromagnetic fields upon charges 4 ECE 303 Fall 2007 Farhan Rana Cornell University Physical Quantities, Values, and SI Units E r Electric Field Volts/m Magnetic Field Amps/m Permittivity of Free Space 8.85x10-12 Farads/m Permeability of Free Space 4 x10-7 Henry/m Electronic Unit of Charge 1.6x10-19 Coulombs Volume Charge Density Coulombs/m 3 Current Density Amps/m 2 Electric Flux Density Coulombs/m 2 Magnetic Flux Density Tesla Quantity H r o o q E D o r r = H B...
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lecture2 - 1 ECE 303 Fall 2007 Farhan Rana Cornell...

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