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
To find the equivalent resistance across terminals and , we can use the symmetry of the circuit or apply a test voltage and find the total current.
1.Identify the topology: The circuit consists of 8 resistors, each of 1 . It can be viewed as a bridge network where the right-hand side is further branched.
2.Apply Symmetry: By applying a voltage between and , we can identify nodes with equal potential due to the symmetric arrangement of the resistors.
3.Simplification: Using Delta-Wye transformations or nodal analysis, the network can be reduced. For this specific topology, the equivalent resistance is calculated as .
Therefore, the correct option is (D).Continue learning with Success Tracker
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