23. A uniform magnetic field B has constant strength b in the z-direction [i.e., B = (0, 0, b)]. (a) Verify that A = }B x r is a vector potential for B, where r= (x, y, 0). (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 19. D = (0, 0, 4) A = (6, 0, 4), C = (0, 3, 0) F = (6, 0, 0) B = (6, 3, 0) FIGURE 19

23. A uniform magnetic field B has constant strength b in the z-direction [i.e., B = (0, 0, b)]. (a) Verify that A = }B x r is a vector potential for B, where r= (x, y, 0). (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 19. D = (0, 0, 4) A = (6, 0, 4), C = (0, 3, 0) F = (6, 0, 0) B = (6, 3, 0) FIGURE 19

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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