We have a plane wave in vacuum with direction of propagation along the wave vector K  and angular frequency w. Eo is a complex but constant vector. Then, the electric field vector is E(r,t)=Re{E0 exp i (k.r-wt)}  Deduce the following properties of a plane wave using Maxwell's equations and the material equations a) which condition has to be valid for the vectors k and E relatively to each other? b) calculate the magnetic field induction B in independence on the electric field ve

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We have a plane wave in vacuum with direction of propagation along the wave vector K  and angular frequency w. Eis a complex but constant vector. Then, the electric field vector is E(r,t)=Re{Eexp i (k.r-wt)} 

Deduce the following properties of a plane wave using Maxwell's equations and the material equations

a) which condition has to be valid for the vectors k and E relatively to each other?

b) calculate the magnetic field induction B in independence on the electric field vector

C) calculate the Poynting vector in independence on the electric field vector

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