The magnetic field intensity is given in a certain region of space as H = [(x + 2 y )/z2]ay + (2/z)az A/m. (a) Find ∇ × H. (b) Find J. (c) Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ z ≤ 5, in the az direction. (d) Show that the same result is obtained using the other side of Stokes’ theorem.
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