A single phase full wave voltage controller has a resistive load of $R=10$ and the input voltage of $230V,50Hz.$ The delay angle of both the thyristors. is $45.$ Find the

$($i$)$ RMS output voltage

$($ii$)$ Load power in KW

$($iii$)$ Input power factor

$($iv$)$ Average value of the thyristor current.

$($v$)$ RMS value of the thyristor current.