$2.(35$ points$)$ Given: The magnetic field of a plane wave propagating through a non$-$magnetic

material: H$($y$,$t$)=30$ cos$[(1.$X$108$ rad$/$sec$)$ t $-(0\mathrm{.}5$ rad$/$m$)$ y $]$ mA$/$m$$

$^$

Find:

$($a$)(5$pts$)$ the direction of wave propagation

$($b$)(5$pts$)$ the phase velocity

$($c$)(5$pts$)$ the wavelength in the material

$($d$)(5$pts$)$ the relative permittivity of the material

$($e$)(15$pts$)$ the electric field E$($y$,$t$)$