$($m$)(10$ Points$)$

ce chopper in Fig. I has inductive load of $R=10$ and $L=10mH.$ The input voltage value is $V_s=220V,f=5kHz,E=110l$

d duty cycle $k=0\mathrm{.}5.$ Find: and duty cycle $k=0\mathrm{.}5.$

$($a$)$ the $I_{\text{m}\text{a}\text{x}}$ and $I_{\text{m}\text{i}\text{n}}.$

$($b$)$ the average and rms voltage across the switch $Q.$

$($c$)$ the rms and average chopper current $I_s.$

$($d$)$ the rms and average values of the diode current $I_{Dm}.$

$($e$)$ the effective input resistance $R_i.$

$($f$)$ the output power.

$($g$)$ draw the voltage across the RL$.$