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

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- Solution 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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