Electromagnetic (EM) wave propagating in vacuum has field components as DE OB follows E-Ecos(kz-cot) and B=B.cos(kz-cot). Faraday's law in this specific case: dz ôt applies. a) Prove that EM wave moves to positive z-direction by setting differential of the phase o-kz-cot to zero. b) Find relation between wave's amplitudes E, and Bo c) What is the physical meaning of co/k? State how it can be expressed by electric permittivity and magnetic permeability if the wave propagates in a medium.

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Electromagnetic (EM) wave propagating in vacuum has field components as
OE OB
follows E=E cos(kz-cot) and B=Bocos(kz-cot). Faraday's law in this specific case:
дz
ôt
applies.
a) Prove that EM wave moves to positive z-direction by setting differential of the phase = kz-oot to
zero.
b) Find relation between wave's amplitudes Eo and Bo
c) What is the physical meaning of co/k? State how it can be expressed by electric permittivity & and
magnetic permeability if the wave propagates in a medium.
Transcribed Image Text:Electromagnetic (EM) wave propagating in vacuum has field components as OE OB follows E=E cos(kz-cot) and B=Bocos(kz-cot). Faraday's law in this specific case: дz ôt applies. a) Prove that EM wave moves to positive z-direction by setting differential of the phase = kz-oot to zero. b) Find relation between wave's amplitudes Eo and Bo c) What is the physical meaning of co/k? State how it can be expressed by electric permittivity & and magnetic permeability if the wave propagates in a medium.
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