Question
Download Solution PDFA 230 V, 3-phase voltage is applied to a balance delta connected 3-phase load of phase impedance (15 + j 20) Ω. What is the power consumed per phase?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The active power in a 3ϕ star-connected load is given by:
\(P=3V_pI_pcosϕ=\sqrt{3}V_LI_Lcosϕ\)
Per phase power, \(P=V_pI_pcosϕ\)
where, \(cosϕ={R\over \sqrt{R^2+X^2}}\)
Calculation
Given, Z = 15 + j20 Ω
\(cosϕ={15\over \sqrt{15^2+20^2}}=0.6\)
\(I_p={V_p\over Z}={230\over 25}=9.2\)
\(P=230\times 9.2\times 0.6\)
P = 1269.6 W
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