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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 on theme: "16.360 Lecture 14 Today Orthogonal coordinate systems 1.The Cartesian (rectangular) coordinate system 2.The cylindrical coordinate system 3.The spherical."— Presentation transcript:

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

2 16.360 Lecture 14 Cartesian coordinate system x y z dl  

3 16.360 Lecture 14 Cartesian coordinate system x y z directions of area

4 16.360 Lecture 14 Cylindrical coordinate system z x y

5 16.360 Lecture 14 the differential areas and volume z x y

6 16.360 Lecture 14 Example: cylindrical area z x y 5 3 30 60

7 16.360 Lecture 14 Spherical coordinate system

8 16.360 Lecture 14 differential volume in Spherical coordinate system

9 16.360 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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