Coordinate Systems and Transformation Elements of Electromagnetics Fourth

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Coordinate Systems and Transformation Elements of Electromagnetics Fourth Edition Sadiku 1

Coordinate Systems and Transformation Elements of Electromagnetics Fourth Edition Sadiku 1

Figure 2. 1 Point P and unit vectors in the cylindrical coordinate system. Elements

Figure 2. 1 Point P and unit vectors in the cylindrical coordinate system. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 2

Figure 2. 2 Relationship between (x, y, z) and (r, f, z). Elements of

Figure 2. 2 Relationship between (x, y, z) and (r, f, z). Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 3

Figure 2. 3 Unit vector transformation: (a) cylindrical components of ax, (b) cylindrical components

Figure 2. 3 Unit vector transformation: (a) cylindrical components of ax, (b) cylindrical components of ay. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 4

Figure 2. 4 Point P and unit vectors in spherical coordinates. Elements of Electromagnetics

Figure 2. 4 Point P and unit vectors in spherical coordinates. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 5

Figure 2. 5 Relationships between space variables (x, y, z), (r, q, f), and

Figure 2. 5 Relationships between space variables (x, y, z), (r, q, f), and (r, f, z). Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 6

Figure 2. 6 Unit vector transformations for cylindrical and spherical coordinates. Elements of Electromagnetics

Figure 2. 6 Unit vector transformations for cylindrical and spherical coordinates. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 7

Figure 2. 7 Constant x, y, and z surfaces. Elements of Electromagnetics Fourth Edition

Figure 2. 7 Constant x, y, and z surfaces. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 8

Figure 2. 8 Constant r, f, and z surfaces. Elements of Electromagnetics Fourth Edition

Figure 2. 8 Constant r, f, and z surfaces. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 9

Figure 2. 9 Constant r, q, and f surfaces. Elements of Electromagnetics Fourth Edition

Figure 2. 9 Constant r, q, and f surfaces. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 10

Figure 2. 10 For Example 2. 3(c). Elements of Electromagnetics Fourth Edition Sadiku Copyright

Figure 2. 10 For Example 2. 3(c). Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 11