$11\mathrm{.}11$ & A uniform plane wave at frequency $f=100MHz$ propagates in a material having conductivity $=3\mathrm{.}0\frac{S}{m}$ and dielectric constant $lo{n}_r^{\text{'}}=8\mathrm{.}00.$ The wave carries electric field amplitude $E_0=100\frac{V}{m}.($a$)$ Calculate the loss tangent and determine whether the medium would qualify as a good dielectric or a good conductor. $($b$)$ Calculate $,,$ and $.($c$)$ Write the electric field in phasor form, assuming $x$ polarization and forward $z$ travel. $($d$)$ Write the magnetic field in phasor form. $($e$)$ Write the time$-$average Poynting vector, S$.(f)$ Find the $6-$dB material thickness at which the wave power drops to $25\%$ of its value on entry.