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 ▼ × ▼ × 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 ▼ × ▼ × 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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