Question: Given H = (3r 2 / sin )a + 54r cos a A/m in free space: (a) Find the total current in the

Given H = (3r2/ sin θ)aθ + 54r cos θaϕ A/m in free space:

(a) Find the total current in the aθ direction through the conical surface θ = 20◦, 0 ≤ ϕ ≤ 2π, 0 ≤ r ≤ 5, by whatever side of Stokes’ theorem you like the best.

(b) Check the result by using the other side of Stokes’ theorem.

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