Assume i $($t$)=0\mathrm{.}5$ cos$(300$t$)$ A$,$ R$1=$ R$2=4,$ L$1=$ L$2=200$ mH$,$ and C $=15$F$.($c$)(10$points$)$ Use nodal analysis to solve steady$-$state response ic$($t$)($d$)(10$points$)$ Use mesh analysis to solve steady$-$state response ic $($t$).($e$)(4$ points$)$ Calculate the average power adsorbed by R$2($f$)(4$ points$)$ Calculate the complex power delivered by the current source $($g$)(4$ points$)$ Explain why high AC voltage is used in power transmission line.