lec11 - V V z z y y x x dv z y x z y x V 2 2 2 ) ' ( ) ' (...

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Lecture Notes for C-term 2009 Lecture 11 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA ECE 2112 Electromagnetic Theory Copyright, 2000 © R. Ludwig
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ECE2112_11 2 Lecture 11 Objectives • What is Poisson’s equation? • What are solutions to Poisson’s equation? • What is a dipole field?
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ECE2112_11 3 ECE 2112 - Lecture 11 0 2 / ) , , ( V z y x V Maxwell’s equation Poisson equation of electrostatics V z y x V )) , , ( ( 0 D Solution of Poisson equation 
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Unformatted text preview: V V z z y y x x dv z y x z y x V 2 2 2 ) ' ( ) ' ( ) ' ( ' ) ' , ' , ' ( 4 1 ) , , ( ECE2112_11 4 ECE 2112 Lecture 11 Dipole configuration Approximation 2 1 4 4 ) , , ( r Q r Q z y x V 3 2 4 4 cos ) , , ( r r Qd z y x V r p ECE2112_11 5 ECE 2112- Lecture 11 L d l E Field distribution Potential field is curl-free E Note the difference in notation....
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lec11 - V V z z y y x x dv z y x z y x V 2 2 2 ) ' ( ) ' (...

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