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ECE 311: Electric and Magnetic Fields Coordinate Systems Professor Peter Bermel Electrical and Computer Engineering Purdue University, West Lafayette, IN USA [email protected] 1/9/2019

ECE 311: Electric and Magnetic Fields Coordinate Systems/uploads/02... · ECE 311: Electric and Magnetic Fields Coordinate Systems Professor Peter Bermel Electrical and Computer Engineering

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Page 1: ECE 311: Electric and Magnetic Fields Coordinate Systems/uploads/02... · ECE 311: Electric and Magnetic Fields Coordinate Systems Professor Peter Bermel Electrical and Computer Engineering

ECE 311: Electric and Magnetic FieldsCoordinate Systems

Professor Peter BermelElectrical and Computer Engineering

Purdue University, West Lafayette, IN [email protected]

1/9/2019

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Cartesian coordinate system

1/9/2019 Bermel ECE 311 - Spring 2019 2

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Cylindrical coordinate system

1/9/2019 Bermel ECE 311 - Spring 2019 3

Examples:• Coaxial cable• Fiber optic line

Range of values different than in Cartesian coordinates

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Spherical coordinate system

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Examples:• Earth• Raindrops

Range of values different than in Cartesian or cylindrical coordinates

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Spherical coordinate system

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Vector algebra: applies equally well as in Cartesian coordinatesExamples: subtraction, dot product, cross product

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Point transformation (Cartesian-

cylindrical-spherical)

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Vector transformation (Cartesian-

cylindrical-spherical)

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