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Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4 / 36A / a / Solution

The macroscopic Maxwell equations in matter are

\nabla \cdot D = ρ, \nabla \cdot B = 0,

\nabla \times E = - \frac{\partial B}{\partial t}, \nabla \times H = ma t hb fJ + \frac{\partial D}{\partial t} .

Here

ρ

and

J

are the free charge and current densities.

Solved by gpt-5.6-sol high.

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