Three similar coils are connected in star when connected to a three-phase AC supply, drawing a line current of 10 A. kVA and KW inputs are 30 and 18, respectively. What are the resistance and reactance of the coil, respectively?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 100 Ω and 60 Ω
  2. 80 Ω and 60 Ω
  3. 60 Ω and 80 Ω
  4. 80 Ω and 100 ​Ω

Answer (Detailed Solution Below)

Option 3 : 60 Ω and 80 Ω
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Detailed Solution

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Concept

The total apparent power in a three-phase system is given by:

The active power in a three-phase system is:

where, VL = Line Voltage

IL = Line current

IP = Phase current

Calculation

Given, S = 30 kVA

P = 18 kW

VL = 1732 V

For a star connection, the phase voltage is:

VP = 1000 V

The impedance per phase is given by:

R = 60 Ω

X =  80 Ω

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