Figure $1$ shows a controlled switch that is connected to a simple circuit. The switch characteristics are as follows: $\backslash (\backslash$mathrm$\{$Vd$\}=180\backslash$mathrm$\{$~V$\}\backslash$mathrm$\{$Io$\}=3\backslash$mathrm$\{$~A$\},\backslash$mathrm$\{$tc$\}(\backslash$mathrm$\{$on$\})=90\backslash$mathrm$\{$~ns$\},\backslash$mathrm$\{$tc$\}(\backslash$mathrm$\{$off$\})=150\backslash$mathrm$\{$~ns$\}\backslash )$

Figure $1$: Controlled switch connected to a simple circuit

$1\mathrm{.}4$ Draw the generic switching linearized characteristics of the switch $($switch control signal, switch waveformscurrent and voltage$)$ and the instantaneous power loss.

$1\mathrm{.}5$ Name the two types of power losses that occur during the duration of switching and explain each briefly. Clearly indicate the $2$ different types of power losses on your characteristics drawn in Question $1\mathrm{.}4$

$1\mathrm{.}6$ Calculate the energy dissipated while switching off

$1\mathrm{.}7$ Calculate the total power dissipated if the device is switches at $150$ khz