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

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

In Fig., the value of the source voltage is

In Fig., the value of resistance $$R$$ in $$\Omega $$ is