GATE EC 2016 Set 2 — Question 40
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Network Theory → Circuit Fundamentals & Theorems → Wye-Delta Transformation
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Question
In the given circuit, each resistor has a value equal to 1 .
What is the equivalent resistance across the terminals and ?
Correct answer
(D) 8/15 Ω
Solution
Labelling the network (from the figure). Let the outer triangle have vertices , and (the right vertex), and the inner triangle have vertices (upper), (lower) and (right). The nine resistors are
-, -, -, -, -, -, -, -, -.Symmetry. Apply at and at . The network is symmetric under the reflection that swaps and while fixing and , so the potentials are antisymmetric about :KCL at :Current leaving :So (A) , (B) and (C) are incorrect.Answer: (D)
-, -, -, -, -, -, -, -, -.Symmetry. Apply at and at . The network is symmetric under the reflection that swaps and while fixing and , so the potentials are antisymmetric about :KCL at :Current leaving :So (A) , (B) and (C) are incorrect.Answer: (D)
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