Evaluate both sides of divergence theorem for \(A = \rho a_{\rho} + \rho cos(\phi)a_{\phi} + za_z\) through the closed surface \(0 \le \rho \le 1, 0 \le \phi \le \pi, 0 \le z \le 2\)
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First, we need to find the divergence of A: div(A) = ∇ · A = ∂(pacos(θ)) / ∂r + (1/r) ∂(rpacos(θ)) / ∂θ + ∂(pacos(θ)) / ∂z = acos(θ) + (-pasin(θ)) + 0 = acos(θ) - pasin(θ) Show more…
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