Figure shows $$a$$ $$b$$ $$c$$. resistive network and its graph is drawn aside. $$A$$ 'proper tree' chosen for analyzing the network will contain the edges :

At resonance, the given parallel circuit constituted by an iron - cored coil and a capacitor behaves like

In the given circuit, the voltage $$\overline {{V_L}} $$ has a phase angle of ____________ with respect to $$\overline {{V_S}} .$$

A set of $$3$$ equal resistors, each of value $${R_X},$$ connected in star across $$RYB$$ of given Fig. consumes the same power as the unbalanced delta-connected load shown. The value of $${R_X}$$ is _____________ $$\Omega .$$