D= (0,0, 4) A = (6, 0, 4), C = (0, 3, 0) F= (6, 0, 0) B = (6, 3, 0)
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Auniform magnetic fieldBhas constant strength b in the z-direction [i.e., B =〈0, 0, b〉].
(a) Verify that A = 1/2B × 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 the figure given below.
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