Question
Download Solution PDFThe voltage across the impedance ‘Z’ is 100 ∠ 15 V and the current through ‘Z’ is 20 ∠−45 A. Find the reactive power (Q).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFPower in AC circuit
The active power is given by:
\(P=VIcos(\theta_v-\theta_i)\)
The reactive power is given by:
\(Q=VIsin(\theta_v-\theta_i)\)
The apparent power is given by:
\(S=\sqrt{P^2+Q^2}\)
Calculation
Given, V = 100∠15° volt
I = 20 ∠−45 A
\(Q=100\times20 \times sin(15-(-45))\)
Q = 1732 VAR
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