The 3-ϕ, Y - load of impedances each (6 + j9) is supplied through a line having an impedance of (1 + j2) Ω. The supply voltage is 400 volts 50 Hz. Determine the line current.

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SSC JE EE Previous Paper 8 (Held on: 28 Oct 2020 Morning)
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  1. 17.7 A
  2. 27.7 A
  3. 47.7 A
  4. 37.7 A

Answer (Detailed Solution Below)

Option 1 : 17.7 A
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Calculation:

Load impedance = 6 + j9

Line impedance = 1 + j2

Total impedance = 7 + j11

Magnitude of total impedance = 13.038 Ω

Supply voltage (VS) = 400 V

Line current \( = \frac{{400}}{{\sqrt 3 \times 13.038}} = 17.7\;A\)
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