# Consider a sphere of radius r = 4 centered at (0, 0, 3). Let S1 be that portion of the spherical…

Consider a sphere of radius r = 4 centered at (0, 0, 3). Let S1 be that portion of the spherical surface that lies above the xy plane. Find S1 (∇ × H) · dS if H = 3ρ aφ in cylindrical coordinates

2. 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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