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Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between B and C?

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Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between B and C?

(a) Rc+Rb+Rc*Rb/Ra

(b) Rc+Rb+Ra*Rb/Rc

(c) Ra+Rb+Ra*Rc/Rb

(d) Rc+Rb+Rc*Ra/Rb

This question was posed to me by my school principal while I was bunking the class.

I want to ask this question from Star Delta Transformation in chapter Network Theorems of Basic Electrical Engineering

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Correct choice is (a) Rc+Rb+Rc*Rb/Ra

For explanation I would say: After converting to the delta, each delta connected resistance is equal to the sum of the two resistances it is connected to+product of the two resistances divided by the remaining resistance. Hence, resistance between B and C = Rc+Rb+Rc*Rb/Ra.

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