What is the magnitude of the reactive power (in kVAR) of a balanced 3-phase delta connected system having the line voltage of 400 V and the line current of 50 A and the phase difference between the voltage and current is 53.13 degrees?

• A. 2.771
• B. 0.2771
• C. 277.1
• D. 27.71

Answer: (D)

Given
Line Voltage VL = 400 V
Line current IL = 50A
Phase angle φ = 53.13
The reactive power of three-phase AC circuit is given as
Q = √3 × VL × IL × sinφ
Q = √3 × 400 × 50 × sin 53.13°
Q = √3 × 400 × 50 × 0.8
Q = 27712.8 VAR
or
Q = 27.71 KVAR