Starting with Maxwell's equations show that; in free space with no charge or current, arbitrary E and B obey the wave equation (do not use the specific forms of E and B in eqs. 3 and 4). Clue: For the electric field: take the curl of the differential form of Faraday's law, use a vector identity to rewrite ▼ x V x E, then substitute in the differential form of Gauss' law (what is p?).

Starting with Maxwell's equations show that; in free space with no charge or current, arbitrary E and B obey the wave equation (do not use the specific forms of E and B in eqs. 3 and 4). Clue: For the electric field: take the curl of the differential form of Faraday's law, use a vector identity to rewrite ▼ x V x E, then substitute in the differential form of Gauss' law (what is p?).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 36PQ

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