16.360 Lecture 14 Today Orthogonal coordinate systems 1.The Cartesian (rectangular) coordinate system 2.The cylindrical coordinate system 3.The spherical.

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Presentation transcript:

Lecture 14 Today Orthogonal coordinate systems 1.The Cartesian (rectangular) coordinate system 2.The cylindrical coordinate system 3.The spherical coordinate system

Lecture 14 Cartesian coordinate system x y z dl  

Lecture 14 Cartesian coordinate system x y z directions of area

Lecture 14 Cylindrical coordinate system z x y

Lecture 14 the differential areas and volume z x y

Lecture 14 Example: cylindrical area z x y

Lecture 14 Spherical coordinate system

Lecture 14 differential volume in Spherical coordinate system

Lecture 14 Examples (1) Find the area of the strip (2) A sphere of radius 2cm contains a volume charge density Find the total charge contained in the sphere

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