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uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0,0,6)] 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 17. F

uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0,0,6)] 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 17. F

Advanced Engineering Mathematics
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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A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0,0,6)] (a) Verify that A =B × 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 17. F B FIGURE 17 A (3,0,5), B = (3,3,0), C = (0,3,0), = D= (0,0,5), F = (3,0,0) Flux(B) =
Transcribed Image Text:A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0,0,6)] (a) Verify that A =B × 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 17. F B FIGURE 17 A (3,0,5), B = (3,3,0), C = (0,3,0), = D= (0,0,5), F = (3,0,0) Flux(B) =
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