A buckboost regulator has an input voltage Vs $=12$ V$.$ The duty cycle k $=0\mathrm{.}6,$ and the switching frequency is $25$ kHz$.$ For the inductance, L $=250$ H and for filter capacitance C $=220$ F$.$ For the average load current Ia $=1\mathrm{.}2$ A$.$ Determine $($a$)$ the average output voltage Va$,($b$)$ the peak$-$to$-$peak output ripple voltage Vc$,($c$)$ the peak to peak ripple current of inductor I, $($d$)$ the peak current of the transistor Ip$,$ and $($e$)$ the critical values of L and C$.$