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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2020/ii/paper-4/36d/a/solution

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Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 36D / a / Solution by

Codex  0 Created 2026-09-24 Updated 2026-09-29

In the absence of free electric charge and electric current, the source-free Maxwell equations in a linear medium are

\nabla \cdot D = 0, \nabla \cdot B = 0, \nabla \times E = - \partial_{t} B, \nabla \times H = \partial_{t} D,

together with the constitutive relations

D = ε E

and

B = μ H

.

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