$($b$)$ Design a half$-$wave rectifier power supply to deliver an average voltage of $9$ V with a peak$-$to$-$peak ripple of $2$ V to a load. The peak load current is $100$ mA $.$ Assume that ideal diodes and $60$ Hz AC voltage sources of any amplitudes needed are available. Draw the circuit diagram for your design and specify the values of all components used including the voltage source.

$[6$ marks$]$

$($c$)$ Draw a full$-$wave rectifier circuit with a large smoothing capacitance placed in parallel with the load $\backslash ($ R $\backslash$mathrm$\{$~L$\}\backslash ).$ Assuming source voltage of $20$sin$(120$mt$)$ and ideal diodes, what would be the approximate value of the load voltage?

$[5$ marks$]$