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A uniform magnetic field B has constant
strength b teslas in the z-direction [i.e.,
В %3 (0, 0, Б) ]
(a) Verify that A = ;B x r is a vector potential
for B, where r = (x, y, 0)
(b) Use the Stokes theorem to calculate the flux
of B through the rectangle with vertices A, B,
C, and D in Figure 17.
A
F
B
FIGURE 17
А 3 (6,0, 1), В 3 (6, 4, 0),
C = (0,4,0),
D = (0,0, 1), F = (6,0,0)
%3D
Flux(B) =
25.56b

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