Exercise 3. Consider 3d vectorfields E and B solutions of Maxwell's equations in 3 dimen- sions, that is: a,E=V x B, V.E=0, V.B=0. Prove that each component of E and B satisfies a wave equations. 0B= −V × E,

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Exercise 3. Consider 3d vectorfields E and B solutions of Maxwell's equations in 3 dimen-
sions, that is:
O, E = V x B,
V.E=0,
B-V x E,
V.B=0.
Prove that each component of E and B satisfies a wave equations.
Transcribed Image Text:Exercise 3. Consider 3d vectorfields E and B solutions of Maxwell's equations in 3 dimen- sions, that is: O, E = V x B, V.E=0, B-V x E, V.B=0. Prove that each component of E and B satisfies a wave equations.
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