Question
Download Solution PDFA coil having a resistance of 8 Ω and an inductance of 0.01911 Henry is connected across a 230 V, 50 Hz AC supply. The reactive power is equal to ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFPower in AC circuit
The reactive power is given by:
\(Q=VIsinϕ\)
where, V = Voltage
I = Current
\(\phi=tan^{-1}({ω L\over R})\)
Calculation
Given, R = 8 Ω
L = 0.01911
XL = ωL = 2π(50) × 0.01911 = 6
\(\phi=tan^{-1}({6\over 8})\) = 36.86°
\(I={230\over 10}=23\space A\)
\(Q=230\times 23\times sin(36.86)\)
Q = 3174 VAR
Q = 3.174 KVAR
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