Question

A balanced delta-connected load of (2+j3) Ω per phase is connected to a balanced three-phase 440V supply. The phase current is 10A. Find the apparent power.

(a) 10955.67 VAR

(b) 10.95567 VAR

(c) 109.5567 VAR

(d) 1.095567 VAR

This question was addressed to me in my homework.

My question comes from Voltage, Current and Power in a Delta Connected System topic in portion Polyphase Circuits of Network Theory

Answer 1

Right choice is (a) 10955.67 VAR

Easiest explanation: Sinφ = 0.83. Reactive power = √3 VLILsinφ. VL = 440V, IL = 17.32A. On substituting we get reactive power = √3 x 440 x 17.32 = 10955.67 VAR.