$-$ For the half$-$wave rectifier with a freewheeling diode and RL load, the source is $240$ V rms at $60$ Hz and $\backslash (\backslash$mathrm$\{$R$\}=80\backslash )$ hms$.$

$-($a$)$ Assume $\backslash ($ L $\backslash )$ is infinitely large. Determine the power absorbed by the load and the power factor as seen by the source. Sketch vo$,$ iD$1,$ and iD$2$

$-($b$)$ Determine the average current in each diode.

$-($c$)$ For a finite inductance, determine $\backslash ($ L $\backslash )$ such that the peak$-$to$-$peak current is no more than $10$ percent of the average current.