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Star-Delta Conversion

A Delta-conne...

Question

A Delta-connected network with its Wye-equivalent is shown in the figure. The resistances $R_{1}, R_{2}$ and $R_{3}$ (in ohms) are respectively

A

1.5, 3 and 9

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B

3, 9 and 1.5

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C

9, 3 and 1.5

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D

3, 1.5 and 9

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Solution

The correct option is D 3, 1.5 and 9

$R_{1} = \frac{5 \times 30}{5 + 30 + 15} = 3$
$R_{2} = \frac{15 \times 5}{50} = 1.5$
$R_{3} = \frac{15 \times 30}{50} = 9$

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