 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-3/9a/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Irrotational means

\nabla \times E = 0

. For

E = \nabla f

, its

i

th curl component is

ε_{ijk} \partial_{j} \partial_{k} f = 0

because mixed partials are symmetric.

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