The current through the $$2\,\,k\Omega $$ resistance in the circuit shown in Fig. is

The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$ and $${Z_0} = 2.38 - j0.667\Omega .$$ At this frequency, the minimal realization of the Thevenin's independence will have a

In the figure given below the value of $$R$$ is

Fig. shows the waveform of the current passing through an inductor of resistance $$1\,\Omega $$ and inductance $$2$$ $$H.$$ The energy absorbed by the inductor in the first four seconds is