c$)$ A half wave rectifier circuit is supplied from a $230V,50Hz$ supply with a step$-$down transformer of ratio of $3$:$1$ to a resistive load of $10k.$ The diode forward resistance is $75$ while the transformer secondary resistance is $10.$ On the secondary side, calculate the following:

i$)$ the maximum current

$[3$ marks$]$

ii$)$ the average current

$[2$ marks$]$

iii$)$ root mean square current

$[2$ marks$]$

iv$)$ D$.$C$.$ output voltage

$[2$ marks$]$

v$)$ efficiency of rectification and

$[4$ marks$]$

vi$)$ ripple factor

$[2$ marks$]$