In free space, the magnetic flux density is B = y 2 a x + z 2

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In free space, the magnetic flux density is B = yax + z2ay + x2aWb/m2

(a) Show that B is a magnetic field
(b) Find the magnetic flux through x = 1, 0 < y < 1, 1 < z < 4.
(c) Calculate J.
(d) Determine the total magnetic flux through the surface of a cube defined by 0 < x < 2, 0 < y < 2, 0 < z < 2.

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