Question: The magnetic field intensity is given in a certain region of space as H = [(x + 2y)/z 2 ]a y + (2/z)a z A/m.

The magnetic field intensity is given in a certain region of space as H = [(x + 2y)/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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