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Vector Calculus. 1. Figure 3.1 Differential elements in the right-handed Cartesian coordinate system. Figure 3.2 Differential normal surface areas in Cartesian coordinates: (a) d S = dy dz a x , (b) d S = dx dz a y , (c) d S = dx dy a z.
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Figure 3.1 Differential elements in the right-handed Cartesian coordinate system. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.2 Differential normal surface areas in Cartesian coordinates: (a) dS =dy dz ax, (b) dS =dx dz ay, (c) dS =dx dy az. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.3 Differential elements in cylindrical coordinates. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.4 Differential normal surface areas in cylindrical coordinates: (a) dS =rdfdz ar, (b) dS =drdz af, (c) dS =rdrdfaz. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.5 Differential elements in the spherical coordinate system. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.6 Differential normal surface areas in spherical coordinates: (a) dS =r2 sin qdq dfar, (b) dS =rsin qdr dfaf, (c) dS =rdr dqaf. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.7 For Example 3.1. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.8 For Practice Exercise 3.1 (and also Review Question 3.3). Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.9 Path of integration of vector field A. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.10 The flux of a vector field A through surface S. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.11 For Example 3.2. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.12 For Practice Exercise 3.2, L is a closed path. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.13 Gradient of a scalar. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.14 For Example 3.5; plane of intersection of a line with an ellipsoid. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.15 Illustration of the divergence of a vector field at P: (a) positive divergence, (b) negative divergence, (c) zero divergence. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.16 Evaluation of Ñ ×A at point P(x0, y0, z0). Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.17 Volume v enclosed by surface S. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.18 For Example 3.7. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.19 Contour used in evaluating the x-component of Ñ´ A at point P(xo, yo, zo). Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.20 Illustration of a curl: (a) curl at P points out of the page, (b) curl at P is zero. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.21 Determining the sense of dl and dS involved in Stokes’s theorem. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.22 Illustration of Stokes’s theorem. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.23 For Example 3.9. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.24 Typical fields with vanishing and nonvanishing divergence or curl. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.25 For Review Question 3.1. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.26 For Review Question 3.2. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.27 For Review Question 3.8. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.28 For Problem 3.7. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.29 For Problem 3.31. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.30 For Problem 3.32. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.31 For Problem 3.33. Elements of Electromagnetics Fourth Edition Sadiku
Figure 3.32 Volume in form of ice cream cone for Problem 3.38. Elements of Electromagnetics Fourth Edition Sadiku
