A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase sequence R-Y-B, as shown in the figure. If the wattmeter reading is $$-$$400 W and the line current is $$I_R=2$$ A (rms), then the power factor of the load per phase is
A balanced delta connected load consisting of the series connection of one resistor (R = 15 $$\Omega$$) and a capacitor (C = 212.21 $$\mu$$F) in each phase is connected to three-phase, 50 Hz, 415 V supply terminals through a line having an inductance of L = 31.83 mH per phase, as shown in the figure. Considering the change in the supply terminal voltage with loading to be negligible, the magnitude of the voltage across the terminals $$V_{AB}$$ in Volts is ___________ (Round off to the nearest integer).
![GATE EE 2017 Set 2 Electric Circuits - Three Phase Circuits Question 11 English](https://gateclass.cdn.examgoal.net/examside/questions/2b5fdb7a5bc923a1a7bfc15cb0c797bce4decd14cb519fc677e357bdba4b0ebc.jpg)
then the magnitude of $$R$$ is