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Rab is the resistance between the terminals A and B, Rbc between B and C and Rca between C and A. These 3 resistors are connected in delta connection. After transforming to star, the resistance at A will be?

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Rab is the resistance between the terminals A and B, Rbc between B and C and Rca between C and A. These 3 resistors are connected in delta connection. After transforming to star, the resistance at A will be?

(a) Rab*Rac/(Rab+Rbc+Rca)

(b) Rab/(Rab+Rbc+Rca)

(c) Rbc*Rac/(Rab+Rbc+Rca)

(d) Rac/(Rab+Rbc+Rca)

I had been asked this question during an internship interview.

Origin of the question is Delta Star Transformation in chapter Network Theorems of Basic Electrical Engineering

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Correct option is (a) Rab*Rac/(Rab+Rbc+Rca)

For explanation I would say: When converting from delta to star, the resistances in star connection is equal to the product of the resistances it is connected to, divided by the total sum of the resistance.

Hence Rab*Rac/(Rab+Rbc+Rca).

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