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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 B 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 B will be?

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

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

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

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

The question was asked in an interview for internship.

Enquiry is from Delta Star Transformation topic in division Network Theorems of Basic Electrical Engineering

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Correct option is (c) Rbc*Rab/(Rab+Rbc+Rca)

The explanation is: 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*Rbc/(Rab+Rbc+Rca).

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