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EEE224_Fall10_Lecture2 - METU NCC EEE 224 ELECTROMAGNETIC...

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1 EEE 224 ELECTROMAGNETIC THEORY Orthogonal Coordinate Systems METU - NCC Assist. Prof. Dr. Özlem Özgün Office : S-144 Phone : 661 2972 E-mail : [email protected] Web : http://www.metu.edu.tr/~ozozgun/
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2 Coordinate Systems The physical quantities in EM are vector fields which are functions of space and time. To describe the variations of the quantities in space, we need a suitable coordinate system. Laws of electromagnetism are “invariant” with the chosen coordinate system. A point in 3D space can be specified as the intersection of 3 surfaces. u 1 = const. u 2 = const. u 3 = const. u’s may be lengths or angles. When these 3 families of surfaces are mutually orthogonal (perpendicular) to each other, we have an “orthogonal coordinate system”.
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3 Orthogonal Coordinate Systems 3 PRIMARY “ORTHOGONAL” COORDINATE SYSTEMS: CARTESIAN CYLINDRICAL SPHERICAL Choice is based on symmetry of problem Examples: Sheets - CARTESIAN Wires/Cables - CYLINDRICAL Spheres - SPHERICAL How do we choose a suitable coordinate system?
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