A uniform magnetic field B has constant strength b in the z-direction [that is, B = (0,

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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 × 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.
A uniform magnetic field B has constant strength b in
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