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Question 3 The complex monochromatic plane wave solutions (travelling in the k-direction) of the wave equations for the electric and magnetic fields in vacuum have to satisfy B(r, t) =-k x E(r, t), that is, these solutions have to be transverse to the direction of propagation, and E and B have to be mutually perpendicular (a) Prove that the real fields E and B have to be in phase. (b) Show clearly what the relationship between the real amplitudes of the magnetic and electric fields has to be

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Please help. We work from the Griffiths electrodynamics textbook.

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