In free space, Maxwell's equations simplify greatly. The two equations involving surface integrals of the fields (Eqs.

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In free space, Maxwell's equations simplify greatly. The two equations involving surface integrals of the fields (Eqs. 30. 10 and 30. 11) are zero, and the two equations involving line integrals of the fields (Eqs. 30. 12 and 30. 13) have values proportional to the rate of flux change of the other field. Because the fluxes are surface integrals of the fields, why don't all four equations reduce to zero?

Data from Eq. 30.10

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Data from Eq. 30.11

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Data from Eq. 30.12

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Data from Eq. 30.13

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