A half$-$wave rectifier circuit with a $500-2$ load operates from a $120-$V $($rms$)60-$Hz household supply through a $12-$to$-1$ step$-$down transformer. It uses a silicon diode that can be modeled to have a $0\mathrm{.}7-$V drop for any current.What is the peak voltage of the rectified output? For what fraction of the cycle does the diode conduct? What is the average output voltage? What is the average current in the load?