Question

a circuit having .8 power factor and consumes 20 watt. what is the value of reactive power in var is​

Answer 1

the reactive power in var is=15

explanation:

Reactive Power = Apparent power × Sinφ

or

Reactive Power = (Active Power × Sinφ) ⁄ Cosφ

cosφ = 0.8

Sin2φ = 1 − cos2φ

Sin2φ = 1 − (0.8)2

Sinφ = 0.6

Reactive Power =(20 × 0.6) ⁄ 0.8

Reactive Power = 15 VAR✓