E$=(10$a$\_($y$)+5$a$\_($z$))$cos$(\backslash$omega t$+2$y$-4$z$)($V$)/($m$)$If the plane wave of given E$=(10$a$\_($y$)+5$a$\_($z$))$cos$(\backslash$omega t$+2$y$-4$z$)($V$)/($m$).$ is incident on a dielectric medium

having $\backslash$sigma $=0,\backslash$epsi $=4\backslash$epsi $\_($o$),\backslash$mu $=\backslash$mu $\_($o$)$ and occupying z$>=0,$ calculate

$($a$)$ The angles of incidence, reflection, and transmission

$($b$)$ The reflection and transmission coefficients

$($c$)$ The total E field in free space

$($d$)$ The total E field in the dielectric

$($e$)$ The Brewster angle.