Three identical coils connected in delta to a 415 V, 3-phase supply take a total power of 50 kW and line currents of 70 A. Determine the total kVA taken by the coils.

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. 16.77 kVA
  2. 50.32 kVA
  3. 23.24 kVA
  4. 9.68 kVA

Answer (Detailed Solution Below)

Option 2 : 50.32 kVA
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Detailed Solution

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Concept

In 3ϕ delta connected system, the apparent power is given by:

\(S=3V_pI_p\)

where, Vp = Phase Voltage

I= Phase Current

Calculation

Given, Vp = 415 V

IL = 70 A

\(I_p={70\over \sqrt{3}}\)

\(S=3\times 415\times {70\over \sqrt{3}}\)

S = 50.32 kVA

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