A single$-$phase half$-$wave converter is operated from a $220-$V$,50$Hz sinusoidal voltage source. If the load resistive load is R$=10$ohm and the delay angle is alpha$=$phi$/4,$ determine $($a$)$ RMS values of output voltage, $($b$)$ DC values of output voltage, $($c$)$ the ripple factor, $($d$)$ the transformer utilization factor, and $($e$)$ the peak inverse voltage $($PIV$)$ of thyristor T$.$