$$ \text { Refer to the four circuits shown. } $$

Which one of the following options for $\mathrm{k}_1, \mathrm{k}_2, \mathrm{k}_3$, and $\mathrm{k}_4$ makes all of them realizable?

A single-phase voltage source $v_s=325 \sin (2 \pi 50 t) \vee$ delivers a current, $i=12 \sin (2 \pi 50 t) +9 \sin (2 \pi 50 t)$ A to a load.

The load power factor, correct up to two decimal places, is

An electrical component has voltage drop $v=V_m \sin (\omega t)$, when the current through it is $i=I_m \sin (\omega t-\theta)$. What is the average power dissipated over a half cycle corresponding to $\omega$ ?

The electrical network shown has an independent voltage source $(10 \mathrm{~V})$ and a current source ( $1 \mathrm{u}(\mathrm{t}) \mathrm{mA}$ ).

The voltage across the capacitor at time instants (in seconds) $t=0^{+}, t=0.50$, and $t=\infty$, respectively, is: