lec4 - Lecture Notes for C-term 2009 Lecture 4 Prof R...

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Unformatted text preview: Lecture Notes for C-term 2009 Lecture 4 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA ECE 2112 Electromagnetic Theory Copyright, 2000 © R. Ludwig ECE2112_4 2 Lecture 4 Objectives • Understanding the significance of line, surface, and volume elements? • Discussion of the Cartesian coordinate representation? • Extension of coordinate representation to cylindrical and spherical systems? ECE2112_4 3 ECE 2112- Lecture 4 • Cartesian coordinates Unit vectors are orthogonal and constant dz dy dx d z y x u u u l Line, surface, volume dydz d x x u s etc. dxdydz dV ECE2112_4 4 ECE 2112- Lecture 4 • Cylindrical Coordinate System Unit vectors are orthogonal and only z is constant! dz d d dV dz d d d z u u u l Line, surface, volume dz d d u S etc. ECE2112_4 5 ECE 2112- Lecture 4 • Spherical coordinate system Unit vectors are orthogonal, but none is constant!Unit vectors are orthogonal, but none is constant!...
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• Spring '09
• Ludwig
• Electromagnet, Coordinate system, Polar coordinate system, Coordinate systems, sin sin, Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester

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lec4 - Lecture Notes for C-term 2009 Lecture 4 Prof R...

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