A plane wave in air with

$$Ei $=($x $9$y$4$z$6)$e$$ j$(2$x$+3$z$)($V$/$m$)$

is incident upon the planar surface of a dielectric material, with

r $=2\mathrm{.}25,$ and it occupies the half$-$space z $0.$ Determine:

$($a$)$ the incidence angle

i$,$

$($b$)$ the frequency of the wave,

$($c$)$ the field $$Er of the reflected wave,

$($d$)$ the field $$Et of the wave transmitted into the dielectric

medium, and

$($e$)$ the average power density carried by the wave into the

dielectric medium