 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2021/paper-2/13/b/solution

The curl found in part (a) is constant, so its divergence is

\nabla \cdot (\nabla \times F) = 0.

This also follows from the identity divergence of a curl is zero, applicable here because the field is smooth everywhere.

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