Question
Download Solution PDFA balanced star connected load of 4 + j3 Ω per phase connected to a 3-phase, 230 V (phase value) supply. Find the value of active power.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The active power in a 3ϕ star-connected load is given by:
\(P=3V_pI_pcosϕ=\sqrt{3}V_LI_Lcosϕ\)
where, \(cosϕ={R\over \sqrt{R^2+X^2}}\)
Calculation
Given, Z = 4 + j3 Ω
\(cosϕ={4\over \sqrt{4^2+3^2}}=0.8\)
\(I_p={V_p\over Z}={230\over 5}\)
\(P=3\times 230\times {230\over 5}\times 0.8\)
P = 25.4 kW
Last updated on Jun 16, 2025
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