Find DELTA equivalent resistance R12, R23, and R31 from the given STAR configuration.

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PGCIL DT Electrical 12 March 2022 (NR II) Official Paper
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  1. Ω, 24 Ω, 12 Ω 
  2. 18 Ω, 24 Ω, 9 Ω
  3. Ω, 18 Ω, 12 Ω
  4. 18 Ω, 12 Ω, 24 Ω

Answer (Detailed Solution Below)

Option 3 : 6 Ω, 18 Ω, 12 Ω
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Detailed Solution

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The correct answer is option 3):(Ω, 18 Ω, 12 Ω)

Concept:

Star-to-delta conversion

 

RA = R1 + R2

RB = R1 + R3 + 

RC = R2 + R3 + 

Calculation:

Given

RA = R1 + R2 + 

= 2 + 3 +  = 6

RB = R1 + R3 + 

= 6 +2 + 

= 6 +2 + 4 = 12

R3 =  R2 + R3 + 

3 + 6 + 

= 18 

hence option 3 is correct

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