a single phase controller the following data. source voltage $230$V at $50$Hz$,$ Load $=0+$ j$4$Omega $.$ Calculate $($i$)$ the control range of of rms current, $($iii$)$ the maximum value of firing angle, $($ii$)$ assuming average and rms thyristor currents, $($iv$)$ the maximum value di$/$dl that may occur in the thyristors, $($v$)$ the value of conduction angle for gate pulse width of radians.