A $20-$cm$$long center$-$fed dipole antenna operates in the AM broadcast band at $6$ MHz$.$ The dipole is made of copper wire with a square cross$-$section and the side is equal to $1$ mm$.$ Copper is non magnetic and characterized by sc $=5\mathrm{.}8$x $107$ S$/$m$.$ Determine: $($a$)$ the radiation efficiency of the antenna $($show your calculations$)$; $($b$)$ what is this antenna gain in decibels? $($c$)$ what the antenna current is required so that it will radiate $50$ W$,$ and how much power will the generator have to supply to the antenna? $($d$)$ verify your results using Module $9\mathrm{.}1.$ For the full credit show your intermediate calculation steps. Hint: Exercises $9\mathrm{.}2$ and $9\mathrm{.}3$ solved on Recitation#$11$