The Electric And Magnetic Fields Of A Certain Electromagnetic Wave In Free Space Are Given By E (Z,T)Eo Cos (Kz - Ut)I +Eo Sin (Kz - Ut) J B(Z,T)Bo Sin (Kz- Ut)I+ Bo Cos (Kz -Ut) J, Bo Cos (Kz -Wt) J, Where Eo And Bo Are Constants, Such That Eo Fields Represent Circularly Polarized Light. CBo, With C The Speed Of Light. These (A) Show That The Magnitudes Of

 

 

 

The electric and magnetic fields of a certain electromagnetic wave in free space are given by E(z,t) = Eocos (kz-wt) i + Eo sin (kz-wt) j B(z,t) = -Bo sin (kz-wt)i + Bocos (kz-wt)], where Eo and Bo are constants, such that E = cBo, with c the speed of light. These fields represent circularly polarized light. (a) Show that the magnitudes of E and B at all positions and times are Eo and Bo, respectively. (b) Show that E and B are perpendicular to each other. (c) Recall that the direction of the flow of energy of a wave is given by Poynting's Vector, S = - B. Compute Poynting's vector for these fields. What direction is the light heading?