The equivalent capacitance of the input loop of the circuit shown in below

Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be

In the circuit shown in the figure, the value of the current $$i$$ will be given by

A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance characterized by the relation $${V_{NL}} = {{\rm I}^2}{}_{NL}$$. The power dissipated in the non-linear resistance is