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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 C 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 C will be?

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

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

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

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

The question was asked in my homework.

This is a very interesting question from Delta Star Transformation in portion Network Theorems of Basic Electrical Engineering

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The correct choice is (c) Rbc*Rac/(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 Rac*Rbc/(Rab+Rbc+Rca).

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