Home » Uncategorized » GATE 2016 EE - SET 2 - Question 11

GATE 2016 EE - SET 2 - Question 11

Using the phasor diagram for this circuit, the following equation can be written. 

V_{S}^{2}=(V_{R}+V_{C}\cos \phi )^{2}+V_{C}^{2}\sin ^{2}\phi

V_{S}^{2}=V_{R}^{2}+V_{C}^{2}\cos ^{2}\phi +2V_{R}V_{C}\cos \phi +V_{C}^{2}\sin ^{2}\phi




Substituting, V_{S}=100 along with the options given into the above equation, we see that only for option D, where V_{R}=60 and V_{C}=80, the equation satisfies. 

Translate »