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 _____________ $$\Omega .$$

Using Thevenin equivalent circuit, determine the $$rms$$ value of the voltage across the $$100$$ $$ohm$$ resistor after the switch is closed in the $$3$$ $$-$$ phase circuit shown in Figure.