apparent power drawn by

The apparent power drawn by an A.C. circuit is 10 kVA and active power is 8 kW. The reactive power in the circuit is

a. 4 kVAR

b. 6 kVAR

c. 8 kVAR

d. none of these

Explanation: Fig. 1 below show the Power Triangle. It shows the relationship B/W apparent power, active and reactive Power.

apparent power drawn by an A.C. Power Triangle — Fig. 1

Now As

(apparent power)² = (active power)² + (reactive power)²
(Reactive Power)2= (Apparent Power)2 -(Active Power)2
10² – 8² = (reactive power)²
100 – 64 = (reactive power)²
36 = (reactive power)²
reactive power = 6 kVAR

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Apparent power drawn by an A.C.