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An 8 kW single phase load at power factor of 0.8 leading is supplied from a single- phase ac supply. Reactive power drawn from the source is:
Question

An 8 kW single phase load at power factor of 0.8 leading is supplied from a single- phase ac supply. Reactive power drawn from the source is:

A.

6 kVAr leading

B.

8 kVAr lagging

C.

8 kVAr leading

D.

6 kVAr lagging

Correct option is A

Given: Active power P=8 kW Power factor cosϕ=0.8 (leading)First find the phase angle:ϕ=cos1(0.8)tanϕ=sinϕcosϕ=0.60.8=0.75Reactive power is:Q=PtanϕQ=8×0.75=6 kVAr\textbf{Given:} \\[6pt]\bullet \ \text{Active power } P = 8 \text{ kW} \\[4pt]\bullet \ \text{Power factor } \cos\phi = 0.8 \text{ (leading)} \\[12pt]\text{First find the phase angle:} \\[8pt]\phi = \cos^{-1}(0.8) \\[10pt]\tan\phi = \frac{\sin\phi}{\cos\phi} = \frac{0.6}{0.8} = 0.75 \\[14pt]\text{Reactive power is:} \\[8pt]Q = P \tan\phi \\[10pt]Q = 8 \times 0.75 = 6 \text{ kVAr}​​

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