Maxwell's equations are obeyed by the E.M. waves when these waves are travelling:

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This question was previously asked in

ESE Electronics 2011 Paper 2: Official Paper

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Answer 1

Maxwell’s equations are obeyed by the EM wave in any medium / everywhere

Important Points

Maxwell’s equations:

∇⋅D = ρ → gauss law

∇⋅B = 0 → gauss law for magnetism

\(\nabla \times E = \frac{{ - \partial B}}{{\partial t}}\) → Faraday’s law

\(\nabla \times H = J + \frac{{\partial D}}{{\partial t}}\) → Ampere’s law