Question: A uniform magnetic field B has constant strength b in the z-direction [that is, B = (0, 0, b)]. (a) Verify that A = 12

A uniform magnetic field B has constant strength b in the z-direction [that is, B = (0, 0, b)].
(a) Verify that A = 12
B Ã— 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

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a We compute the vector A B r since B bk and r xi yj We have We now show that curlA ... View full answer

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