$1.$ The switching voltage and current waveforms of a power switching device with a reactive load is shown in Fig. $1.$ The voltage $\backslash (\backslash$mathrm$\{$V$\}\_\{\backslash$mathrm$\{$s$\}\}\backslash )$ and $\backslash (\backslash$mathrm$\{$I$\}\_\{\backslash$mathrm$\{$s$\}\}\backslash )$ are respectively $200$ V and $50$ A $.$ The device exhibits overcurrent during turnon and overvoltage during turn$-$off as shown in Fig. $1.$ The switching frequency is $10$ kHz $.$

$(5$ Marks$)$

$($A$)$ Sketch the device power dissipation as a function of time.

$($B$)$ Evaluate the peak power dissipation during the switch$-$on transition and the switch$-$off transition.

$($C$)$ Evaluate the turn$-$on energy loss, turn$-$off energy loss and the average switching power loss in the switching device.